Long range dipolar effects in 1D systems either in free or inhomogeneous space are the basis of the state preparation protocol here proposed. Under the presence of an external time-dependent magnetic field, dipole-dipole interactions in the binary ultracold $^{166}$Er -$^{164}$Dy system were tuned from repulsive to attractive to access either, the droplet regime, or the extended one where individual species can be found in mixed or demixed phases. A thorough exploration of weak contact and dipole-dipole effective interactions parameters leads us to determine the phase diagrams of the 1D Bose clouds affected by three different external fields; free homogeneous, harmonic, and optical lattice confining potentials. These results were used to propose long-life states composed of alternate assemblies of individual species confined in optical lattices that mimics magnetic domains, whose size can be adjusted. Our analysis based on numerical experiments within a mean field scheme considered large enough systems as those commonly used in experimental platforms.
{"title":"Quantum protocols in demixed dipolar BEC mixtures in 1D","authors":"C. Madroñero, R. Paredes","doi":"arxiv-2407.20467","DOIUrl":"https://doi.org/arxiv-2407.20467","url":null,"abstract":"Long range dipolar effects in 1D systems either in free or inhomogeneous\u0000space are the basis of the state preparation protocol here proposed. Under the\u0000presence of an external time-dependent magnetic field, dipole-dipole\u0000interactions in the binary ultracold $^{166}$Er -$^{164}$Dy system were tuned\u0000from repulsive to attractive to access either, the droplet regime, or the\u0000extended one where individual species can be found in mixed or demixed phases.\u0000A thorough exploration of weak contact and dipole-dipole effective interactions\u0000parameters leads us to determine the phase diagrams of the 1D Bose clouds\u0000affected by three different external fields; free homogeneous, harmonic, and\u0000optical lattice confining potentials. These results were used to propose\u0000long-life states composed of alternate assemblies of individual species\u0000confined in optical lattices that mimics magnetic domains, whose size can be\u0000adjusted. Our analysis based on numerical experiments within a mean field\u0000scheme considered large enough systems as those commonly used in experimental\u0000platforms.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"138 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141870147","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 Yang-Lee edge singularity is an intriguing critical phenomenon characterized by nonunitary field theory. However, its experimental realization for interacting many-body systems remains elusive. We show that Yang-Lee edge singularities, regarded as many-body exceptional points, can be observed using both the self-normal and the associated-biorthogonal Loschmidt echoes, leveraging the advantages of nonunitary dynamics in non-Hermitian systems. The Loschmidt echoes are demonstrated to display unitary dynamics in the $mathcal{PT}$-symmetric regime but exhibit nonunitary dynamics in the $mathcal{PT}$ symmetry-broken regime, leading to a sharp change near an exceptional point. We hereby identify exceptional points in both the non-Hermitian transverse field Ising model and the Yang-Lee model, and determine the critical exponent that is consistent with nonunitary conformal field theory. This work provides a direct observation of Yang-Lee edge singularities in non-Hermitian many-body systems arising from nonunitary dynamics.
{"title":"Dynamical signatures of the Yang-Lee edge singularity in non-Hermitian systems","authors":"Ming-Chu Lu, Shun-Hui Shi, Gaoyong Sun","doi":"arxiv-2407.20106","DOIUrl":"https://doi.org/arxiv-2407.20106","url":null,"abstract":"The Yang-Lee edge singularity is an intriguing critical phenomenon\u0000characterized by nonunitary field theory. However, its experimental realization\u0000for interacting many-body systems remains elusive. We show that Yang-Lee edge\u0000singularities, regarded as many-body exceptional points, can be observed using\u0000both the self-normal and the associated-biorthogonal Loschmidt echoes,\u0000leveraging the advantages of nonunitary dynamics in non-Hermitian systems. The\u0000Loschmidt echoes are demonstrated to display unitary dynamics in the\u0000$mathcal{PT}$-symmetric regime but exhibit nonunitary dynamics in the\u0000$mathcal{PT}$ symmetry-broken regime, leading to a sharp change near an\u0000exceptional point. We hereby identify exceptional points in both the\u0000non-Hermitian transverse field Ising model and the Yang-Lee model, and\u0000determine the critical exponent that is consistent with nonunitary conformal\u0000field theory. This work provides a direct observation of Yang-Lee edge\u0000singularities in non-Hermitian many-body systems arising from nonunitary\u0000dynamics.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"12 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141870149","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}
Following a glitch, a neutron star interior undergoes a transfer of angular momentum from the star's crust to the core, resulting in the spin-up of the latter. The crust-core coupling, which determines how quickly this spin-up proceeds, can be achieved through various physical processes, including Ekman pumping, superfluid vortex-mediated mutual friction, and magnetic fields. While the complexity of the problem has hindered studies of the mechanisms' combined action, analytical work on individual processes suggests different spin-up timescales depending on the relative strength of Coriolis, viscous, and mutual friction forces, and the magnetic field, respectively. However, experimental and numerical validations of these results are limited. In this paper, we focus on viscous effects and mutual friction and conduct non-linear hydrodynamical simulations of the spin-up problem in a two-component fluid by solving the incompressible Hall$-$Vinen$-$Bekarevich$-$Khalatnikov (HVBK) equations in the full sphere (i.e., including $r=0$) for the first time. We find that the viscous (normal) component accelerates due to Ekman pumping, although the mutual friction coupling to the superfluid component alters the spin-up dynamics compared to the single-fluid scenario. Close to the sphere's surface, the response of the superfluid is accurately described by the mutual friction timescale irrespective of its coupling strength with the normal component. However, as we move deeper into the sphere, the superfluid accelerates on different timescales due to the slow viscous spin-up of the internal normal fluid layers. We discuss potential implications for neutron stars and requirements for future work to build more realistic models.
{"title":"Superfluid Spin-up: 3D Simulations of Postglitch Dynamics in Neutron Stars Cores","authors":"J. R. Fuentes, Vanessa Graber","doi":"arxiv-2407.18810","DOIUrl":"https://doi.org/arxiv-2407.18810","url":null,"abstract":"Following a glitch, a neutron star interior undergoes a transfer of angular\u0000momentum from the star's crust to the core, resulting in the spin-up of the\u0000latter. The crust-core coupling, which determines how quickly this spin-up\u0000proceeds, can be achieved through various physical processes, including Ekman\u0000pumping, superfluid vortex-mediated mutual friction, and magnetic fields. While\u0000the complexity of the problem has hindered studies of the mechanisms' combined\u0000action, analytical work on individual processes suggests different spin-up\u0000timescales depending on the relative strength of Coriolis, viscous, and mutual\u0000friction forces, and the magnetic field, respectively. However, experimental\u0000and numerical validations of these results are limited. In this paper, we focus\u0000on viscous effects and mutual friction and conduct non-linear hydrodynamical\u0000simulations of the spin-up problem in a two-component fluid by solving the\u0000incompressible Hall$-$Vinen$-$Bekarevich$-$Khalatnikov (HVBK) equations in the\u0000full sphere (i.e., including $r=0$) for the first time. We find that the\u0000viscous (normal) component accelerates due to Ekman pumping, although the\u0000mutual friction coupling to the superfluid component alters the spin-up\u0000dynamics compared to the single-fluid scenario. Close to the sphere's surface,\u0000the response of the superfluid is accurately described by the mutual friction\u0000timescale irrespective of its coupling strength with the normal component.\u0000However, as we move deeper into the sphere, the superfluid accelerates on\u0000different timescales due to the slow viscous spin-up of the internal normal\u0000fluid layers. We discuss potential implications for neutron stars and\u0000requirements for future work to build more realistic models.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"213 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141870150","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 equation of state of dilute Bose gases, in which the energy only depends on the $s$-wave scattering length, is rather unknown beyond the universal limit. We have carried out a bunch of diffusion Monte Carlo calculations up to gas parameters of $10^{-2}$ to explore how the departure from the universality emerges. Using different model potentials, we calculate the energies of the gas in an exact way, within some statistical noise, and report the results as a function of the three relevant scattering parameters: the $s$-wave scattering length $a_0$, the $s$-wave effective range $r_0$, and the $p$-wave scattering length $a_1$. If the effective range is not large we observe universality in terms of $a_0$ and $r_0$ up to gas parameters of $10^{-2}$. If $r_0$ grows the regime of universality in these two parameters is reduced and effects of $a_1$ start to be observed. In the $(a_0,r_0)$ universal regime we propose an analytical law that reproduces fairly well the exact energies.
{"title":"Equation of state of Bose gases beyond the universal regime","authors":"Marti Planasdemunt, Jordi Pera, Jordi Boronat","doi":"arxiv-2407.18059","DOIUrl":"https://doi.org/arxiv-2407.18059","url":null,"abstract":"The equation of state of dilute Bose gases, in which the energy only depends\u0000on the $s$-wave scattering length, is rather unknown beyond the universal\u0000limit. We have carried out a bunch of diffusion Monte Carlo calculations up to\u0000gas parameters of $10^{-2}$ to explore how the departure from the universality\u0000emerges. Using different model potentials, we calculate the energies of the gas\u0000in an exact way, within some statistical noise, and report the results as a\u0000function of the three relevant scattering parameters: the $s$-wave scattering\u0000length $a_0$, the $s$-wave effective range $r_0$, and the $p$-wave scattering\u0000length $a_1$. If the effective range is not large we observe universality in\u0000terms of $a_0$ and $r_0$ up to gas parameters of $10^{-2}$. If $r_0$ grows the\u0000regime of universality in these two parameters is reduced and effects of $a_1$\u0000start to be observed. In the $(a_0,r_0)$ universal regime we propose an\u0000analytical law that reproduces fairly well the exact energies.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"16 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141771197","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 article, we numerically investigate the vortex nucleation in a Bose-Einstein condensate trapped in a double-well potential and subjected to a density-dependent gauge potential. A rotating Bose-Einstein condensate, when confined in a double-well potential, not only gives rise to visible vortices but also produces hidden vortices. We have empirically developed the Feynmans rule for the number of vortices versus angular momentum in Bose-Einstein condensates in presence of the density dependent-gauge potentials. The variation of the average angular momentum with the number of vortices is also sensitive to the nature of the nonlinear rotation due to the density-dependent gauge potentials. The empirical result agrees well with the numerical simulations and the connection is verified by means of curve fitting analysis. The modified Feynman rule is further confirmed for the BECs confined in harmonic and toroidal traps. In addition, we show the nucleation of vortices in double-well and toroidally confined Bose-Einstein condensates solely through nonlinear rotations (without any trap rotation) arising through the density dependent-gauge potential.
{"title":"Hidden vortices and Feynman rule in Bose-Einstein condensates with density-dependent gauge potential","authors":"Ishfaq Ahmad Bhat, Bishwajyoti Dey","doi":"arxiv-2407.17901","DOIUrl":"https://doi.org/arxiv-2407.17901","url":null,"abstract":"In this article, we numerically investigate the vortex nucleation in a\u0000Bose-Einstein condensate trapped in a double-well potential and subjected to a\u0000density-dependent gauge potential. A rotating Bose-Einstein condensate, when\u0000confined in a double-well potential, not only gives rise to visible vortices\u0000but also produces hidden vortices. We have empirically developed the Feynmans\u0000rule for the number of vortices versus angular momentum in Bose-Einstein\u0000condensates in presence of the density dependent-gauge potentials. The\u0000variation of the average angular momentum with the number of vortices is also\u0000sensitive to the nature of the nonlinear rotation due to the density-dependent\u0000gauge potentials. The empirical result agrees well with the numerical\u0000simulations and the connection is verified by means of curve fitting analysis.\u0000The modified Feynman rule is further confirmed for the BECs confined in\u0000harmonic and toroidal traps. In addition, we show the nucleation of vortices in\u0000double-well and toroidally confined Bose-Einstein condensates solely through\u0000nonlinear rotations (without any trap rotation) arising through the density\u0000dependent-gauge potential.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"37 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141785071","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}
Ruijin Liu, Tingting Shi, Matteo Zaccanti, Xiaoling Cui
We study universal clusters in quasi-two dimensions (q2D) that consist of a light (L) atom interacting with two or three heavy (H) identical fermions, forming the trimer or tetramer bound state. The axial confinement in q2D is shown to lift the three-fold degeneracy of 3D trimer (tetramer) in $p$-wave channel and uniquely select the ground state with magnetic angular momentum $|m|=1$ ($m=0$). By varying the interaction or confinement strength, we explore the dimensional crossover of these clusters from 3D to 2D, characterized by a gradual change of critical H-L mass ratio for their emergence and momentum-space distribution. Importantly, we find that a finite effective range will {it not} alter their critical mass ratios in the weak coupling regime. There, we establish an effective 2D model to quantitatively reproduce the properties of q2D clusters, and further identify the optimal interaction strengths for their detections in experiments. Our results suggest a promising prospect for observing universal clusters and associated high-order correlation effects in realistic q2D ultracold Fermi mixtures.
{"title":"Universal clusters in quasi-two-dimensional ultracold Fermi mixtures","authors":"Ruijin Liu, Tingting Shi, Matteo Zaccanti, Xiaoling Cui","doi":"arxiv-2407.17702","DOIUrl":"https://doi.org/arxiv-2407.17702","url":null,"abstract":"We study universal clusters in quasi-two dimensions (q2D) that consist of a\u0000light (L) atom interacting with two or three heavy (H) identical fermions,\u0000forming the trimer or tetramer bound state. The axial confinement in q2D is\u0000shown to lift the three-fold degeneracy of 3D trimer (tetramer) in $p$-wave\u0000channel and uniquely select the ground state with magnetic angular momentum\u0000$|m|=1$ ($m=0$). By varying the interaction or confinement strength, we explore\u0000the dimensional crossover of these clusters from 3D to 2D, characterized by a\u0000gradual change of critical H-L mass ratio for their emergence and\u0000momentum-space distribution. Importantly, we find that a finite effective range\u0000will {it not} alter their critical mass ratios in the weak coupling regime.\u0000There, we establish an effective 2D model to quantitatively reproduce the\u0000properties of q2D clusters, and further identify the optimal interaction\u0000strengths for their detections in experiments. Our results suggest a promising\u0000prospect for observing universal clusters and associated high-order correlation\u0000effects in realistic q2D ultracold Fermi mixtures.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"43 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141785072","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 study the mass exchange between two rotating, quantum massive vortices in a two-component Bose-Einstein condensate. The vortices, in the majority component, exhibit a filled core, where the in-filling minority component undergoes a quantum tunneling effect. Remarkably, we observe that the two-vortex system features stable Josephson oscillations, as well as all the nonlinear phenomena, including the macroscopic quantum self-trapping, that characterize a Bosonic Josephson Junction (BJJ). We propose an analytical model for describing the inter-vortex tunneling, obtained by implementing the a coherent-state representation of the two-mode Bose-Hubbard model. This allows us to give the explicit expression of the model's parameters in terms of the physical macroscopic parameters of the two-vortex system. The comparison of the dynamical scenario predicted by the model with that emerging from the Gross-Pitaevskii equations is very good for sufficiently small particle numbers, while at larger particle numbers it grows less precise, presumably due to the partial exclusion of the many-body interactions from our model. The definition of an effective self-interaction parameter allows us to include the many-body effects, thus restoring a quite good agreement with the numerical results. Interestingly, the recognition of the bosonic Josephson dynamics paves the way to the investigation of new dynamical behaviors in multi-vortex configurations.
{"title":"Massive-vortex realization of a Bosonic Josephson Junction","authors":"Alice Bellettini, Andrea Richaud, Vittorio Penna","doi":"arxiv-2407.17080","DOIUrl":"https://doi.org/arxiv-2407.17080","url":null,"abstract":"We study the mass exchange between two rotating, quantum massive vortices in\u0000a two-component Bose-Einstein condensate. The vortices, in the majority\u0000component, exhibit a filled core, where the in-filling minority component\u0000undergoes a quantum tunneling effect. Remarkably, we observe that the\u0000two-vortex system features stable Josephson oscillations, as well as all the\u0000nonlinear phenomena, including the macroscopic quantum self-trapping, that\u0000characterize a Bosonic Josephson Junction (BJJ). We propose an analytical model\u0000for describing the inter-vortex tunneling, obtained by implementing the a\u0000coherent-state representation of the two-mode Bose-Hubbard model. This allows\u0000us to give the explicit expression of the model's parameters in terms of the\u0000physical macroscopic parameters of the two-vortex system. The comparison of the\u0000dynamical scenario predicted by the model with that emerging from the\u0000Gross-Pitaevskii equations is very good for sufficiently small particle\u0000numbers, while at larger particle numbers it grows less precise, presumably due\u0000to the partial exclusion of the many-body interactions from our model. The\u0000definition of an effective self-interaction parameter allows us to include the\u0000many-body effects, thus restoring a quite good agreement with the numerical\u0000results. Interestingly, the recognition of the bosonic Josephson dynamics paves\u0000the way to the investigation of new dynamical behaviors in multi-vortex\u0000configurations.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"28 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141771211","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}
Gianni Aupetit-Diallo, Giovanni Pecci, Artem Volosniev, Mathias Albert, Anna Minguzzi, Patrizia Vignolo
We propose an alternative to the Bethe Ansatz method for strongly-interacting fermionic (or bosonic) mixtures on a ring. Starting from the knowledge of the solution for single-component non-interacting fermions (or strongly-interacting bosons), we explicitly impose periodic condition on the amplitudes of the spin configurations. This reduces drastically the number of independent complex amplitudes that we determine by constrained diagonalization of an effective Hamiltonian. This procedure allows us to obtain a complete basis for the exact low-energy many-body solutions for mixtures with a large number of particles, both for $SU(kappa)$ and symmetry-breaking systems.
{"title":"Necklace Ansatz for strongly repulsive spin mixtures on a ring","authors":"Gianni Aupetit-Diallo, Giovanni Pecci, Artem Volosniev, Mathias Albert, Anna Minguzzi, Patrizia Vignolo","doi":"arxiv-2407.16618","DOIUrl":"https://doi.org/arxiv-2407.16618","url":null,"abstract":"We propose an alternative to the Bethe Ansatz method for strongly-interacting\u0000fermionic (or bosonic) mixtures on a ring. Starting from the knowledge of the\u0000solution for single-component non-interacting fermions (or strongly-interacting\u0000bosons), we explicitly impose periodic condition on the amplitudes of the spin\u0000configurations. This reduces drastically the number of independent complex\u0000amplitudes that we determine by constrained diagonalization of an effective\u0000Hamiltonian. This procedure allows us to obtain a complete basis for the exact\u0000low-energy many-body solutions for mixtures with a large number of particles,\u0000both for $SU(kappa)$ and symmetry-breaking systems.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"26 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141771198","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}
Nonlinear Landau-Zener tunneling is an important nonlinear phenomenon. We propose to stimulate the nonlinear tunneling in a spin-orbit-coupled spinor Bose-Einstein condensate. The system provides an experimentally tunable nonlinearity as well as multiple avoided crossings with tunable gap size in nonlinear dispersion relations. The nonlinearity generates tilted cusp and loop structures around the avoided crossings, and the physical consequence of these nonlinear structures is the nonlinear Landau-Zener tunneling. The spin-momentum locking induced by the spin-orbit coupling leads to the time-resolved observation of the nonlinear tunneling by measuring atom populations.
{"title":"Tunable nonlinear Landau-Zener tunnelings in a spin-orbit-coupled spinor Bose-Einstein condensate","authors":"Zhiqian Gui, Jin Su, Hao Lyu, Yongping Zhang","doi":"arxiv-2407.16109","DOIUrl":"https://doi.org/arxiv-2407.16109","url":null,"abstract":"Nonlinear Landau-Zener tunneling is an important nonlinear phenomenon. We\u0000propose to stimulate the nonlinear tunneling in a spin-orbit-coupled spinor\u0000Bose-Einstein condensate. The system provides an experimentally tunable\u0000nonlinearity as well as multiple avoided crossings with tunable gap size in\u0000nonlinear dispersion relations. The nonlinearity generates tilted cusp and loop\u0000structures around the avoided crossings, and the physical consequence of these\u0000nonlinear structures is the nonlinear Landau-Zener tunneling. The spin-momentum\u0000locking induced by the spin-orbit coupling leads to the time-resolved\u0000observation of the nonlinear tunneling by measuring atom populations.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"16 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141771199","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}
Henning Korbmacher, Gustavo A. Domínguez-Castro, Mateusz Łącki, Jakub Zakrzewski, Luis Santos
Ultracold dipolar hard-core bosons in optical ladders provide exciting possibilities for the quantum simulation of anisotropic XXZ spin ladders. We show that introducing a tilt along the rungs results in a rich phase diagram at unit filling. In particular, for a sufficiently strong dipolar strength, the interplay between the long-range tail of the dipolar interactions and the tilting leads to the emergence of a quantum floating phase, a critical phase with incommensurate density-density correlations. Interestingly, the study of the entanglement spectrum, reveals that the floating phase is topological, constituting an intermediate gapless stage in the melting of a crystal into a gapped topological Haldane phase. This novel scenario for topological floating phases in dipolar XXZ ladders can be investigated in on-going experiments.
{"title":"Topological floating phase of dipolar bosons in an optical ladder","authors":"Henning Korbmacher, Gustavo A. Domínguez-Castro, Mateusz Łącki, Jakub Zakrzewski, Luis Santos","doi":"arxiv-2407.15710","DOIUrl":"https://doi.org/arxiv-2407.15710","url":null,"abstract":"Ultracold dipolar hard-core bosons in optical ladders provide exciting\u0000possibilities for the quantum simulation of anisotropic XXZ spin ladders. We\u0000show that introducing a tilt along the rungs results in a rich phase diagram at\u0000unit filling. In particular, for a sufficiently strong dipolar strength, the\u0000interplay between the long-range tail of the dipolar interactions and the\u0000tilting leads to the emergence of a quantum floating phase, a critical phase\u0000with incommensurate density-density correlations. Interestingly, the study of\u0000the entanglement spectrum, reveals that the floating phase is topological,\u0000constituting an intermediate gapless stage in the melting of a crystal into a\u0000gapped topological Haldane phase. This novel scenario for topological floating\u0000phases in dipolar XXZ ladders can be investigated in on-going experiments.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"41 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141771200","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}
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