We investigate the behavior of geometric phase (GP) and geometric entanglement (GE), a multipartite entanglement measure, across quantum phase transitions in Rydberg atom chains. Using density matrix renormalization group calculations and finite-size scaling analysis, we characterize the critical properties of transitions between disordered and ordered phases. Both quantities exhibit characteristic scaling near transition points, with the disorder to $Z_2$ ordered phase transition showing behavior consistent with the Ising universality class, while the disorder to $Z_3$ phase transition displays distinct critical properties. We demonstrate that GP and GE serve as sensitive probes of quantum criticality, providing consistent critical parameters and scaling behavior. A unifying description of these geometric quantities from a quantum geometry perspective is explored, and an interferometric setup for their potential measurement is discussed. Our results provide insights into the interplay between geometric phase and multipartite entanglement near quantum phase transitions in Rydberg atom systems, revealing how these quantities reflect the underlying critical behavior in these complex quantum many-body systems.
我们研究了雷德贝格原子链中几何相位（GP）和几何纠缠（GE）（一种多方纠缠度量）在量子相位转换中的行为。利用密度矩阵重正化群计算和有限尺寸缩放分析，我们描述了无序相和有序相之间跃迁的临界特性。这两个量级在过渡点附近都显示出特征性的缩放，无序到 Z_2$ 有序相的过渡显示出与伊兴普遍性类一致的行为，而无序到 Z_3$ 相的过渡则显示出不同的临界特性。我们证明，GP 和 GE 可作为量子临界性的灵敏探测器，提供一致的临界参数和缩放行为。我们从量子几何的角度探讨了对这些几何量的统一描述，并讨论了对它们进行潜在测量的干涉测量装置。我们的研究结果深入揭示了雷德贝格原子系统中量子相变附近几何相位与多方纠缠之间的相互作用，揭示了这些量子如何反映这些复杂量子多体系统的基本临界行为。
{"title":"Geometric phase and multipartite entanglement of Rydberg atom chains","authors":"Chang-Yan Wang","doi":"arxiv-2407.14854","DOIUrl":"https://doi.org/arxiv-2407.14854","url":null,"abstract":"We investigate the behavior of geometric phase (GP) and geometric\u0000entanglement (GE), a multipartite entanglement measure, across quantum phase\u0000transitions in Rydberg atom chains. Using density matrix renormalization group\u0000calculations and finite-size scaling analysis, we characterize the critical\u0000properties of transitions between disordered and ordered phases. Both\u0000quantities exhibit characteristic scaling near transition points, with the\u0000disorder to $Z_2$ ordered phase transition showing behavior consistent with the\u0000Ising universality class, while the disorder to $Z_3$ phase transition displays\u0000distinct critical properties. We demonstrate that GP and GE serve as sensitive\u0000probes of quantum criticality, providing consistent critical parameters and\u0000scaling behavior. A unifying description of these geometric quantities from a\u0000quantum geometry perspective is explored, and an interferometric setup for\u0000their potential measurement is discussed. Our results provide insights into the\u0000interplay between geometric phase and multipartite entanglement near quantum\u0000phase transitions in Rydberg atom systems, revealing how these quantities\u0000reflect the underlying critical behavior in these complex quantum many-body\u0000systems.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"47 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141785069","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Understanding the elementary mechanism for the dissipation of vortex energy in quantum liquids is one central issue in quantum hydrodynamics, such as quantum turbulence in systems ranging from neutron stars to atomic condensates. In a two-dimensional (2D) Bose-Einstein condensate (BEC) at zero temperature, besides the vortex drift-out process from the boundary, vortex-antivortex pair can annihilate in the bulk, but controversy remains on the number of vortices involved in the annihilation process. We find there exists a dynamical transition from four-body to three-body vortex annihilation processes with the time evolution in a boundary-less uniform quasi-2D BEC. Such dynamical transition depends on the initial vortex pair density, and occurs when the sound waves generated in the vortex annihilation process surpass a critical energy. With the confinement along the third direction is relaxed in a quasi-2D BEC, the critical sound wave energy decreases due to the 3D vortex line curve and reconnection, shifting the dynamical transition to the early time. Our work reveals an elementary mechanism for the dissipation of vortex energy that may help understand exotic matter and dynamics in quantum liquids.
{"title":"Dynamical Transition of Quantum Vortex-Pair Annihilation in a Bose-Einstein Condensate","authors":"Toshiaki Kanai, Chuanwei Zhang","doi":"arxiv-2407.14627","DOIUrl":"https://doi.org/arxiv-2407.14627","url":null,"abstract":"Understanding the elementary mechanism for the dissipation of vortex energy\u0000in quantum liquids is one central issue in quantum hydrodynamics, such as\u0000quantum turbulence in systems ranging from neutron stars to atomic condensates.\u0000In a two-dimensional (2D) Bose-Einstein condensate (BEC) at zero temperature,\u0000besides the vortex drift-out process from the boundary, vortex-antivortex pair\u0000can annihilate in the bulk, but controversy remains on the number of vortices\u0000involved in the annihilation process. We find there exists a dynamical\u0000transition from four-body to three-body vortex annihilation processes with the\u0000time evolution in a boundary-less uniform quasi-2D BEC. Such dynamical\u0000transition depends on the initial vortex pair density, and occurs when the\u0000sound waves generated in the vortex annihilation process surpass a critical\u0000energy. With the confinement along the third direction is relaxed in a quasi-2D\u0000BEC, the critical sound wave energy decreases due to the 3D vortex line curve\u0000and reconnection, shifting the dynamical transition to the early time. Our work\u0000reveals an elementary mechanism for the dissipation of vortex energy that may\u0000help understand exotic matter and dynamics in quantum liquids.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"31 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141771201","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Itinerant ferromagnetism is one of the most studied quantum phase transitions, the transition point and the nature of this phase transition being widely discussed. In dilute Fermi liquids, this analysis has been carried out up to second-order in the gas parameter, where the results for any spin degeneracy are universal in terms of only the s-wave scattering length $a_0$. We extend this analysis to third-order where energies depend, not only on $a_0$, but also on the s-wave effective range $r_0$ and the p-wave scattering length $a_1$. The introduction in the theory of these new parameters changes the transition point, with respect to the second-order estimation, and also can modify the nature of the phase transition itself. We analyze these interaction effects on the phase transition for different spin values. The emerging phase diagram shows that the type of ferromagnetic transition changes dramatically as a function of $r_0$ and $a_1$ and, importantly, that this classification is not solely determined by the spin value, as happens at second order.
巡回铁磁性是研究最多的量子相变之一，这种相变的转变点和性质被广泛讨论。在稀费米液体中，这种分析一直进行到气体参数的二阶，其中任何自旋互斥性的结果都是通用的，只取决于 s 波散射长度 $a_0$。在理论中引入这些新参数会改变相变点的二阶估计，也会改变相变本身的性质。我们分析了这些相互作用对不同自旋值相变的影响。新出现的相位图显示，铁磁转变类型作为 $r_0$ 和 $a_1$ 的函数发生了巨大变化，而且重要的是，这种分类并不像二阶时那样完全由自旋值决定。
{"title":"Interaction effects on the itinerant ferromagnetism phase transition","authors":"Jordi Pera, Joaquim Casulleras, Jordi Boronat","doi":"arxiv-2407.14137","DOIUrl":"https://doi.org/arxiv-2407.14137","url":null,"abstract":"Itinerant ferromagnetism is one of the most studied quantum phase\u0000transitions, the transition point and the nature of this phase transition being\u0000widely discussed. In dilute Fermi liquids, this analysis has been carried out\u0000up to second-order in the gas parameter, where the results for any spin\u0000degeneracy are universal in terms of only the s-wave scattering length $a_0$.\u0000We extend this analysis to third-order where energies depend, not only on\u0000$a_0$, but also on the s-wave effective range $r_0$ and the p-wave scattering\u0000length $a_1$. The introduction in the theory of these new parameters changes\u0000the transition point, with respect to the second-order estimation, and also can\u0000modify the nature of the phase transition itself. We analyze these interaction\u0000effects on the phase transition for different spin values. The emerging phase\u0000diagram shows that the type of ferromagnetic transition changes dramatically as\u0000a function of $r_0$ and $a_1$ and, importantly, that this classification is not\u0000solely determined by the spin value, as happens at second order.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"26 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141738419","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Eric Kochems, Gretel Quintero Angulo, Reinhold Egger, Carsten Müller, Selym Villalba-Chávez
An antiferromagnetic order breaking simultaneously the time-reversal and space-inversion symmetries in topological insulators might give rise to dynamical axion-like fields in the form of longitudinal spin waves. The consequences of the associated axion-polariton state on the thermal radiation are investigated. Planck's radiation law is shown to exhibit remarkable anisotropic behavior as a result of the strong refraction caused by the heat-matter interaction. A crossover scenario at low temperature is identified and an associated regime in which the system's internal energy does not scale with the traditional fourth power of the temperature is revealed. We show that the polarization purity of the heat radiation and its angular distribution can be controlled via the magnetic field, paving the way toward a directional-tunable mechanism for thermal quanta manipulation and storage.
{"title":"Magnetic-field-tunable anisotropic black-body radiation in dynamical axion insulators","authors":"Eric Kochems, Gretel Quintero Angulo, Reinhold Egger, Carsten Müller, Selym Villalba-Chávez","doi":"arxiv-2407.16705","DOIUrl":"https://doi.org/arxiv-2407.16705","url":null,"abstract":"An antiferromagnetic order breaking simultaneously the time-reversal and\u0000space-inversion symmetries in topological insulators might give rise to\u0000dynamical axion-like fields in the form of longitudinal spin waves. The\u0000consequences of the associated axion-polariton state on the thermal radiation\u0000are investigated. Planck's radiation law is shown to exhibit remarkable\u0000anisotropic behavior as a result of the strong refraction caused by the\u0000heat-matter interaction. A crossover scenario at low temperature is identified\u0000and an associated regime in which the system's internal energy does not scale\u0000with the traditional fourth power of the temperature is revealed. We show that\u0000the polarization purity of the heat radiation and its angular distribution can\u0000be controlled via the magnetic field, paving the way toward a\u0000directional-tunable mechanism for thermal quanta manipulation and storage.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"63 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141771202","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Cesar R. Cabrera, René Henke, Lukas Broers, Jim Skulte, H. P. Ojeda Collado, Hauke Biss, Ludwig Mathey, Henning Moritz
Fermionic pairing and the superfluid order parameter change dramatically in low-dimensional systems such as high-T$_c$ superconductors. Here we show how the order parameter dynamics, which defines essential collective properties, is modified by strong confinement. Using a model system for strongly correlated superfluidity, an ultracold fermionic gas, we study the response to a weak modulation of the confinement. Surprisingly, we observe a well-defined collective mode throughout the entire crossover from the Bardeen-Cooper-Schrieffer (BCS) state to Bose-Einstein condensation (BEC) of molecules. Starting in the BCS regime, the excitation energy follows twice the pairing gap, then drops below it in the strongly correlated regime, and finally approaches twice the harmonic level spacing imposed by the confinement in the BEC regime. Its spectral weight vanishes when approaching the superfluid critical temperature. The experimental results are in excellent agreement with an effective field theory, providing strong evidence that amplitude oscillations of the order parameter hybridize with and eventually transform into spatial excitations along the confined direction. The strong modification of the excitation spectrum highlights the relevance of confinement to fermionic superfluids and superconductors, and raises questions about its influence on other fundamental quantities.
{"title":"Effect of strong confinement on the order parameter dynamics in fermionic superfluids","authors":"Cesar R. Cabrera, René Henke, Lukas Broers, Jim Skulte, H. P. Ojeda Collado, Hauke Biss, Ludwig Mathey, Henning Moritz","doi":"arxiv-2407.12645","DOIUrl":"https://doi.org/arxiv-2407.12645","url":null,"abstract":"Fermionic pairing and the superfluid order parameter change dramatically in\u0000low-dimensional systems such as high-T$_c$ superconductors. Here we show how\u0000the order parameter dynamics, which defines essential collective properties, is\u0000modified by strong confinement. Using a model system for strongly correlated\u0000superfluidity, an ultracold fermionic gas, we study the response to a weak\u0000modulation of the confinement. Surprisingly, we observe a well-defined\u0000collective mode throughout the entire crossover from the\u0000Bardeen-Cooper-Schrieffer (BCS) state to Bose-Einstein condensation (BEC) of\u0000molecules. Starting in the BCS regime, the excitation energy follows twice the\u0000pairing gap, then drops below it in the strongly correlated regime, and finally\u0000approaches twice the harmonic level spacing imposed by the confinement in the\u0000BEC regime. Its spectral weight vanishes when approaching the superfluid\u0000critical temperature. The experimental results are in excellent agreement with\u0000an effective field theory, providing strong evidence that amplitude\u0000oscillations of the order parameter hybridize with and eventually transform\u0000into spatial excitations along the confined direction. The strong modification\u0000of the excitation spectrum highlights the relevance of confinement to fermionic\u0000superfluids and superconductors, and raises questions about its influence on\u0000other fundamental quantities.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"92 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141738245","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The Liouvillian skin effect describes the boundary affinity of Liouvillian eignemodes that originates from the intrinsic non-Hermiticity of the Liouvillian superoperators. Dynamically, it manifests as directional flow in the transient dynamics, and the accumulation of population near open boundaries at long times. Intriguingly, similar dynamic phenomena exist in the well-known process of optical pumping, where the system is driven into a desired state (or a dark-state subspace) through the interplay of dissipation and optical drive. In this work, we show that typical optical pumping processes can indeed be understood in terms of the Liouvillian skin effect. By studying the Liouvillian spectra under different boundary conditions, we reveal that the Liouvillian spectra of the driven-dissipative pumping process sensitively depend on the boundary conditions in the state space, a signature that lies at the origin of the Liouvillian skin effect. Such a connection provides insights and practical means for designing efficient optical-pumping schemes through engineering Liouvillian gaps under the open-boundary condition. Based on these understandings, we show that the efficiency of a typical side-band cooling scheme for trapped ions can be dramatically enhanced by introducing counterintuitive dissipative channels. Our results provide a useful perspective for optical pumping, with interesting implications for state preparation and cooling.
{"title":"Optical pumping through the Liouvillian skin effect","authors":"De-Huan Cai, Wei Yi, Chen-Xiao Dong","doi":"arxiv-2407.12303","DOIUrl":"https://doi.org/arxiv-2407.12303","url":null,"abstract":"The Liouvillian skin effect describes the boundary affinity of Liouvillian\u0000eignemodes that originates from the intrinsic non-Hermiticity of the\u0000Liouvillian superoperators. Dynamically, it manifests as directional flow in\u0000the transient dynamics, and the accumulation of population near open boundaries\u0000at long times. Intriguingly, similar dynamic phenomena exist in the well-known\u0000process of optical pumping, where the system is driven into a desired state (or\u0000a dark-state subspace) through the interplay of dissipation and optical drive.\u0000In this work, we show that typical optical pumping processes can indeed be\u0000understood in terms of the Liouvillian skin effect. By studying the Liouvillian\u0000spectra under different boundary conditions, we reveal that the Liouvillian\u0000spectra of the driven-dissipative pumping process sensitively depend on the\u0000boundary conditions in the state space, a signature that lies at the origin of\u0000the Liouvillian skin effect. Such a connection provides insights and practical\u0000means for designing efficient optical-pumping schemes through engineering\u0000Liouvillian gaps under the open-boundary condition. Based on these\u0000understandings, we show that the efficiency of a typical side-band cooling\u0000scheme for trapped ions can be dramatically enhanced by introducing\u0000counterintuitive dissipative channels. Our results provide a useful perspective\u0000for optical pumping, with interesting implications for state preparation and\u0000cooling.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"94 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141746069","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We measure the equation of state in a bilayer Hubbard system for different ratios of the two tunnelling amplitudes $t_perp /t$. From the equation of state we deduce the compressibility and observe its dependency on $t_perp /t$. Moreover, we infer thermodynamic number fluctuations from the equation of state by employing the fluctuation-dissipation theorem. By comparing the thermodynamic with local density fluctuations, we find that non-local density fluctuations in our bilayer Hubbard system become more prominent for higher $t_perp /t$ in the low filling regime. To validate our measurements, we compare them to Determinant Quantum Monte Carlo simulations of a bilayer Hubbard system with 6$times$6 lattice sites per layer.
{"title":"Thermodynamics and density fluctuations in a bilayer Hubbard system of ultracold atoms","authors":"J. Samland, N. Wurz, M. Gall, M. Köhl","doi":"arxiv-2407.11863","DOIUrl":"https://doi.org/arxiv-2407.11863","url":null,"abstract":"We measure the equation of state in a bilayer Hubbard system for different\u0000ratios of the two tunnelling amplitudes $t_perp /t$. From the equation of\u0000state we deduce the compressibility and observe its dependency on $t_perp /t$.\u0000Moreover, we infer thermodynamic number fluctuations from the equation of state\u0000by employing the fluctuation-dissipation theorem. By comparing the\u0000thermodynamic with local density fluctuations, we find that non-local density\u0000fluctuations in our bilayer Hubbard system become more prominent for higher\u0000$t_perp /t$ in the low filling regime. To validate our measurements, we\u0000compare them to Determinant Quantum Monte Carlo simulations of a bilayer\u0000Hubbard system with 6$times$6 lattice sites per layer.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"59 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141718337","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
P. Comaron, E. Estrecho, M. Wurdack, M. Pieczarka, M. Steger, D. W. Snoke, K. West, L. N. Pfeiffer, A. G. Truscott, M. Matuszewski, M. Szymanska, E. A. Ostrovskaya
The emergence of spatial coherence in a confined two-dimensional Bose gas of exciton-polaritons with tuneable interactions offers a unique opportunity to explore the role of interactions in a phase transition in a driven-dissipative quantum system, where both the phase transition and thermalisation are mediated by interactions. We investigate, experimentally and numerically, the phase correlations and steady-state properties of the gas over a wide range of interaction strengths by varying the photonic/excitonic fraction of the polaritons and their density. We find that the first order spatial coherence function exhibits algebraic decay consistent with the Berezinskii-Kosterlitz-Thouless (BKT) phase transition. Surprisingly, the exponent of the algebraic decay is inversely proportional to the coherent density of polaritons, in analogy to equilibrium superfluids above the BKT transition, but with a different proportionality constant. Our work paves the way for future investigations of the phenomenon of phase transitions and superfluidity in a driven-dissipative setting
{"title":"Coherence of a non-equilibrium polariton condensate across the interaction-mediated phase transition","authors":"P. Comaron, E. Estrecho, M. Wurdack, M. Pieczarka, M. Steger, D. W. Snoke, K. West, L. N. Pfeiffer, A. G. Truscott, M. Matuszewski, M. Szymanska, E. A. Ostrovskaya","doi":"arxiv-2407.10506","DOIUrl":"https://doi.org/arxiv-2407.10506","url":null,"abstract":"The emergence of spatial coherence in a confined two-dimensional Bose gas of\u0000exciton-polaritons with tuneable interactions offers a unique opportunity to\u0000explore the role of interactions in a phase transition in a driven-dissipative\u0000quantum system, where both the phase transition and thermalisation are mediated\u0000by interactions. We investigate, experimentally and numerically, the phase\u0000correlations and steady-state properties of the gas over a wide range of\u0000interaction strengths by varying the photonic/excitonic fraction of the\u0000polaritons and their density. We find that the first order spatial coherence\u0000function exhibits algebraic decay consistent with the\u0000Berezinskii-Kosterlitz-Thouless (BKT) phase transition. Surprisingly, the\u0000exponent of the algebraic decay is inversely proportional to the coherent\u0000density of polaritons, in analogy to equilibrium superfluids above the BKT\u0000transition, but with a different proportionality constant. Our work paves the\u0000way for future investigations of the phenomenon of phase transitions and\u0000superfluidity in a driven-dissipative setting","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"30 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141718334","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this work, we propose a management method for controlling the speed and direction of self-bound quantum droplets (QDs) in a binary Bose-Einstein condensate mixture under time-modulated external harmonic confinement. Utilizing the 1D extended Gross-Pit"{a}evskii equation, QDs are constructed within both regular and expulsive parabolic traps, considering temporally varying attractive quadratic beyond mean field and repulsive cubic mean-field atom-atom interactions. Through the derived wavefunction solution, we illustrate the dynamics of slowing, stopping, reversing, fragmentation, collapse, and revival of droplets. Additionally, the solutions reveal a crystalline order with a superfluid background, indicative of supersolid behavior in various parameter domains. Notably, one-third of the constant background matches the lowest residual condensate. These findings hold potential applications in matter-wave interferometry and quantum information processing.
{"title":"Quantum droplet speed management and supersolid behavior in external harmonic confinement","authors":"Saurab Das, Ajay Nath","doi":"arxiv-2407.10463","DOIUrl":"https://doi.org/arxiv-2407.10463","url":null,"abstract":"In this work, we propose a management method for controlling the speed and\u0000direction of self-bound quantum droplets (QDs) in a binary Bose-Einstein\u0000condensate mixture under time-modulated external harmonic confinement.\u0000Utilizing the 1D extended Gross-Pit\"{a}evskii equation, QDs are constructed\u0000within both regular and expulsive parabolic traps, considering temporally\u0000varying attractive quadratic beyond mean field and repulsive cubic mean-field\u0000atom-atom interactions. Through the derived wavefunction solution, we\u0000illustrate the dynamics of slowing, stopping, reversing, fragmentation,\u0000collapse, and revival of droplets. Additionally, the solutions reveal a\u0000crystalline order with a superfluid background, indicative of supersolid\u0000behavior in various parameter domains. Notably, one-third of the constant\u0000background matches the lowest residual condensate. These findings hold\u0000potential applications in matter-wave interferometry and quantum information\u0000processing.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"58 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141718335","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
J. van de Kraats, D. J. M. Ahmed-Braun, V. E. Colussi, S. J. J. M. F. Kokkelmans
Theoretical treatments of non-equilibrium dynamics in strongly interacting Bose-Fermi mixtures are complicated by the inherent non-Gaussian nature of the vacuum two-body physics, invalidating the typical Hartree-Fock-Bogoliubov approximation. Here, we apply the cumulant expansion to study non-equilibrium Bose-Fermi mixtures, which allows us to explicitly include the missing non-Gaussian quantum correlations, leading to a consistent dynamical theory of a Bose-Fermi mixture near an interspecies Feshbach resonance. We first apply our theory to a study of atom-pair coherence in the gas, which is significantly enhanced by the competing influences of the Fermi sea and Bose-Einstein condensation, in agreement with analytical calculations. Then, we study the depletion of a degenerate Bose-Fermi mixture following a quench to the unitary regime, characterizing the resulting depletion of the Bose-Einstein condensate, the deformation of the Fermi surface, and the production of molecules. We find that at early times, the population dynamics scale quadratically with the hold time, and define an associated characteristic timescale set by the parameters of the mixture and the width of the Feshbach resonance.
{"title":"Non-equilibrium dynamics and atom-pair coherence in strongly interacting Bose-Fermi mixtures","authors":"J. van de Kraats, D. J. M. Ahmed-Braun, V. E. Colussi, S. J. J. M. F. Kokkelmans","doi":"arxiv-2407.09176","DOIUrl":"https://doi.org/arxiv-2407.09176","url":null,"abstract":"Theoretical treatments of non-equilibrium dynamics in strongly interacting\u0000Bose-Fermi mixtures are complicated by the inherent non-Gaussian nature of the\u0000vacuum two-body physics, invalidating the typical Hartree-Fock-Bogoliubov\u0000approximation. Here, we apply the cumulant expansion to study non-equilibrium\u0000Bose-Fermi mixtures, which allows us to explicitly include the missing\u0000non-Gaussian quantum correlations, leading to a consistent dynamical theory of\u0000a Bose-Fermi mixture near an interspecies Feshbach resonance. We first apply\u0000our theory to a study of atom-pair coherence in the gas, which is significantly\u0000enhanced by the competing influences of the Fermi sea and Bose-Einstein\u0000condensation, in agreement with analytical calculations. Then, we study the\u0000depletion of a degenerate Bose-Fermi mixture following a quench to the unitary\u0000regime, characterizing the resulting depletion of the Bose-Einstein condensate,\u0000the deformation of the Fermi surface, and the production of molecules. We find\u0000that at early times, the population dynamics scale quadratically with the hold\u0000time, and define an associated characteristic timescale set by the parameters\u0000of the mixture and the width of the Feshbach resonance.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"35 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141718338","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：