Motivated by recent advances in quantum gas microscopy, we investigate correlation functions of the current density in many-body Landau Level states, such as the Laughlin state of the fractional quantum Hall effect. For states fully in the lowest Landau level, we present an exact relationship which shows that all correlation functions involving the current density are directly related to correlation functions of the number density. We calculate perturbative corrections to this relationship arising from inter-particle interactions, and show that this provides a method by which to extract the system's interaction energy. Finally, we demonstrate the applicability of our results also to lattice systems.
{"title":"Correlations of the Current Density in Many-Body Landau Level States","authors":"Daniel Spasic-Mlacak, Nigel R. Cooper","doi":"arxiv-2409.10209","DOIUrl":"https://doi.org/arxiv-2409.10209","url":null,"abstract":"Motivated by recent advances in quantum gas microscopy, we investigate\u0000correlation functions of the current density in many-body Landau Level states,\u0000such as the Laughlin state of the fractional quantum Hall effect. For states\u0000fully in the lowest Landau level, we present an exact relationship which shows\u0000that all correlation functions involving the current density are directly\u0000related to correlation functions of the number density. We calculate\u0000perturbative corrections to this relationship arising from inter-particle\u0000interactions, and show that this provides a method by which to extract the\u0000system's interaction energy. Finally, we demonstrate the applicability of our\u0000results also to lattice systems.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"199 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142268678","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}
Bound states in the continuum (BICs), referring to spatially localized bound states with energies falling within the range of extended modes, have been extensively investigated in single-particle systems, leading to diverse applications in photonics, acoustics, and other classical-wave systems. Recently, there has been theoretical interest in exploring many-body BICs in interacting quantum systems, which necessitate the careful design of impurity potentials or spatial profiles of interaction. Here, we propose a type of many-body BICs localized at boundaries, which can be purely induced by the uniform onsite interaction without requiring any specific design of impurity potential or nonlocal interaction. We numerically show that three or more interacting bosons can concentrate on the boundary of a homogeneous one-dimensional lattice, which is absent at single- and twoparticle counterparts. Moreover, the eigenenergy of multi-boson bound states can embed within the continuous energy spectra of extended scattering states, thereby giving rise to interactioninduced boundary many-body BICs. Furthermore, by mapping Fock states of three and four bosons to nonlinear circuit networks, we experimentally simulate boundary many-body BICs. Our findings enrich the comprehension of correlated BICs beyond the single-particle level, and have the potential to inspire future investigations on exploring many-body BICs.
{"title":"Boundary-localized many-body bound states in the continuum","authors":"Na Sun, Weixuan Zhang, Hao Yuan, Xiangdong Zhang","doi":"arxiv-2409.09925","DOIUrl":"https://doi.org/arxiv-2409.09925","url":null,"abstract":"Bound states in the continuum (BICs), referring to spatially localized bound\u0000states with energies falling within the range of extended modes, have been\u0000extensively investigated in single-particle systems, leading to diverse\u0000applications in photonics, acoustics, and other classical-wave systems.\u0000Recently, there has been theoretical interest in exploring many-body BICs in\u0000interacting quantum systems, which necessitate the careful design of impurity\u0000potentials or spatial profiles of interaction. Here, we propose a type of\u0000many-body BICs localized at boundaries, which can be purely induced by the\u0000uniform onsite interaction without requiring any specific design of impurity\u0000potential or nonlocal interaction. We numerically show that three or more\u0000interacting bosons can concentrate on the boundary of a homogeneous\u0000one-dimensional lattice, which is absent at single- and twoparticle\u0000counterparts. Moreover, the eigenenergy of multi-boson bound states can embed\u0000within the continuous energy spectra of extended scattering states, thereby\u0000giving rise to interactioninduced boundary many-body BICs. Furthermore, by\u0000mapping Fock states of three and four bosons to nonlinear circuit networks, we\u0000experimentally simulate boundary many-body BICs. Our findings enrich the\u0000comprehension of correlated BICs beyond the single-particle level, and have the\u0000potential to inspire future investigations on exploring many-body BICs.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"24 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142250257","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}
Weak measurement enables the extraction of targeted information from a quantum system while minimizing decoherence due to measurement backaction. However, in many-body quantum systems backaction can have unexpected effects on wavefunction collapse. We theoretically study a minimal many-particle model consisting of weakly measured non-interacting fermions in a one dimensional lattice. Repeated measurement of on-site occupation number with single-site resolution stochastically drives the system toward a Fock state, regardless of the initial state. This need not be the case for measurements that do not, even in principle, have single-site spatial resolution. We numerically show for systems with up to 16 sites that decreasing the spatial resolution strongly affects both the rate of stochastic evolution for each quantum trajectory and the allowed final states. The full Hilbert space can be partitioned into backaction-free subspaces (BFSs) the elements of which are indistinguishable to these measurements. Repeated measurements will drive any initial state into a single BFS, leading to a steady state that is a fixed point of the measurement process. We exactly calculate the properties of these BFSs for systems up to 32 sites and find that even for moderate reductions in measurement resolution they yield non-trivial steady state entanglement and coherence.
{"title":"Measurement resolution enhanced coherence for lattice fermions","authors":"I. B. Spielman, H. M. Hurst","doi":"arxiv-2409.09878","DOIUrl":"https://doi.org/arxiv-2409.09878","url":null,"abstract":"Weak measurement enables the extraction of targeted information from a\u0000quantum system while minimizing decoherence due to measurement backaction.\u0000However, in many-body quantum systems backaction can have unexpected effects on\u0000wavefunction collapse. We theoretically study a minimal many-particle model\u0000consisting of weakly measured non-interacting fermions in a one dimensional\u0000lattice. Repeated measurement of on-site occupation number with single-site\u0000resolution stochastically drives the system toward a Fock state, regardless of\u0000the initial state. This need not be the case for measurements that do not, even\u0000in principle, have single-site spatial resolution. We numerically show for\u0000systems with up to 16 sites that decreasing the spatial resolution strongly\u0000affects both the rate of stochastic evolution for each quantum trajectory and\u0000the allowed final states. The full Hilbert space can be partitioned into\u0000backaction-free subspaces (BFSs) the elements of which are indistinguishable to\u0000these measurements. Repeated measurements will drive any initial state into a\u0000single BFS, leading to a steady state that is a fixed point of the measurement\u0000process. We exactly calculate the properties of these BFSs for systems up to 32\u0000sites and find that even for moderate reductions in measurement resolution they\u0000yield non-trivial steady state entanglement and coherence.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"20 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142268673","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}
Kimberlee Keithley, Kris T. Delaney, Glenn H. Fredrickson
The thermodynamic stability of quantized vortex patterns in rotating Bose-Einstein condensates is assessed at finite temperature using complex Langevin sampling. We construct a temperature-rotation frequency phase diagram and find that that vortices are stabilized at lower rotation speeds by the addition of quantum and thermal fluctuations. The coherent states field theoretic representation of the imaginary time path integral enables efficient simulation of large systems at finite temperature, and the complex Langevin simulation scheme bypasses the sign problems that arise from the complex-valued coherent states fields as well as the gauge potential describing solid body rotation. Field operators allow us to generate high-resolution images of particle and momentum density of the cloud. Quantized vortices appear as dark spots on density images, and vector plots of cloud momentum detail circulation around each vortex.
{"title":"Finite temperature stability of quantized vortex structures in rotating Bose-Einstein condensates via complex Langevin simulation","authors":"Kimberlee Keithley, Kris T. Delaney, Glenn H. Fredrickson","doi":"arxiv-2409.07791","DOIUrl":"https://doi.org/arxiv-2409.07791","url":null,"abstract":"The thermodynamic stability of quantized vortex patterns in rotating\u0000Bose-Einstein condensates is assessed at finite temperature using complex\u0000Langevin sampling. We construct a temperature-rotation frequency phase diagram\u0000and find that that vortices are stabilized at lower rotation speeds by the\u0000addition of quantum and thermal fluctuations. The coherent states field\u0000theoretic representation of the imaginary time path integral enables efficient\u0000simulation of large systems at finite temperature, and the complex Langevin\u0000simulation scheme bypasses the sign problems that arise from the complex-valued\u0000coherent states fields as well as the gauge potential describing solid body\u0000rotation. Field operators allow us to generate high-resolution images of\u0000particle and momentum density of the cloud. Quantized vortices appear as dark\u0000spots on density images, and vector plots of cloud momentum detail circulation\u0000around each vortex.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"11 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142176079","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 consider helicoidal spin-orbit coupled Bose-Einstein condensates in optical lattices and study the effects of helicoidal gauge potential on the population imbalance between two pseudo-spin states for zero and non-zero Zeeman splitting. We see that the population imbalance executes Josephson-type oscillation for zero Zeeman splitting and the frequency of oscillation increases with the decrease of strength of helicoidal gauge potential. In presence of optical lattices, the frequency further increases. However, the increment of frequency depends on wavenumber of the lattice. For non-zero Zeeman splitting, we find that the oscillation of population imbalance is not symmetric about zero imbalance of the two states. The asymmetry increases with the increase of helicoidal gauge potential and Zeeman splitting. However, it decreases with the increase of initial phase difference.
{"title":"Josephson effect and self-trapping in helicoidal spin-orbit coupled Bose-Einstein condensates with optical lattices","authors":"Sumita Sultana, Golam Ali Sekh","doi":"arxiv-2409.07076","DOIUrl":"https://doi.org/arxiv-2409.07076","url":null,"abstract":"We consider helicoidal spin-orbit coupled Bose-Einstein condensates in\u0000optical lattices and study the effects of helicoidal gauge potential on the\u0000population imbalance between two pseudo-spin states for zero and non-zero\u0000Zeeman splitting. We see that the population imbalance executes Josephson-type\u0000oscillation for zero Zeeman splitting and the frequency of oscillation\u0000increases with the decrease of strength of helicoidal gauge potential. In\u0000presence of optical lattices, the frequency further increases. However, the\u0000increment of frequency depends on wavenumber of the lattice. For non-zero\u0000Zeeman splitting, we find that the oscillation of population imbalance is not\u0000symmetric about zero imbalance of the two states. The asymmetry increases with\u0000the increase of helicoidal gauge potential and Zeeman splitting. However, it\u0000decreases with the increase of initial phase difference.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"3 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142176080","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}
A Bose-Einstein condensate in a modulated, one-dimensional, anharmonic potential can exhibit dynamical tunneling between islands of regular motion in phase space. With increasingly repulsive atomic interactions, dynamical tunneling is predicted to cease due to self-trapping [S. W"uster et al. Phys. Rev. Lett. 109 080401 (2012)]. This suppression of tunneling oscillations is related to the same phenomenon that occurs in the two-mode dynamics of a repulsively interacting Bose-Einstein condensate in a double-well potential. Here we present a two-mode model for dynamical tunnelling based on nonlinear Floquet states and examine the range of validity of the approximation. We characterise nonlinear dynamical tunneling for different trap strengths, modulation amplitudes, and effective Planck constants. Using the linear Floquet states we derive an expression for the critical nonlinearity beyond which tunneling ceases. Finally we demonstrate the dynamical instability of selected nonlinear Floquet states and show how to initialise some Floquet states in experiments. Our detailed survey will enable experiments to target accessible parameter regimes for the study of nonlinear dynamical tunneling.
在调制的一维非谐波势中的玻色-爱因斯坦凝聚态可以在相空间的规则运动岛之间表现出动态隧道现象。据预测，随着原子相互作用的排斥性越来越强，动态隧道现象会由于自俘获而停止[S. W"uster et al. Phys.Rev. Lett. 109 080401 (2012)]。这种隧穿振荡的抑制与双阱势中冲动性相互作用的玻色-爱因斯坦凝结物的双模动力学中出现的现象有关。在这里，我们提出了一个基于非线性弗罗态的动力学隧穿双模模型，并考察了近似的有效性范围。我们描述了不同陷阱强度、调制振幅和有效普朗克常数下的非线性动态隧穿。利用线性弗洛克态，我们推导出临界非线性的表达式，超过这个临界非线性，隧道效应就会停止。最后，我们证明了所选非线性 Floquet 状态的动力学不稳定性，并展示了如何在实验中初始化一些 Floquet 状态。我们的详细调查将使实验能够瞄准非线性动力学隧道研究的可访问参数区。
{"title":"Macroscopic self-trapping in the dynamical tunneling of a Bose-Einstein condensate","authors":"Sebastian Wüster, Joy Cree, Matthew J. Davis","doi":"arxiv-2409.05364","DOIUrl":"https://doi.org/arxiv-2409.05364","url":null,"abstract":"A Bose-Einstein condensate in a modulated, one-dimensional, anharmonic\u0000potential can exhibit dynamical tunneling between islands of regular motion in\u0000phase space. With increasingly repulsive atomic interactions, dynamical\u0000tunneling is predicted to cease due to self-trapping [S. W\"uster et al. Phys.\u0000Rev. Lett. 109 080401 (2012)]. This suppression of tunneling oscillations is\u0000related to the same phenomenon that occurs in the two-mode dynamics of a\u0000repulsively interacting Bose-Einstein condensate in a double-well potential.\u0000Here we present a two-mode model for dynamical tunnelling based on nonlinear\u0000Floquet states and examine the range of validity of the approximation. We\u0000characterise nonlinear dynamical tunneling for different trap strengths,\u0000modulation amplitudes, and effective Planck constants. Using the linear Floquet\u0000states we derive an expression for the critical nonlinearity beyond which\u0000tunneling ceases. Finally we demonstrate the dynamical instability of selected\u0000nonlinear Floquet states and show how to initialise some Floquet states in\u0000experiments. Our detailed survey will enable experiments to target accessible\u0000parameter regimes for the study of nonlinear dynamical tunneling.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"122 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142176108","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}
A. Ghermaoui, M. Bosch Aguilera, R. Bouganne, R. Vatré, I. Fritsche, J. Beugnon, F. Gerbier
We use Ramsey interferometry to study spin dynamics in the strongly interacting regime of spin-orbit-coupled quantum gases in one-dimensional optical lattices. We observe an intrinsic many-body dephasing mechanism immune to spin-echo in two-component Mott insulators. We ascribe the dephasing to the motion of hole-like defects in an otherwise inert Mott insulator, the spinless nature of the holes explaining the ineffectiveness of spin echo to restore it. We show that a model of spin-orbit-coupled hardcore bosons can explain quantitatively our experimental observations.
{"title":"Many-Body Dephasing by Hole Motion in a Spin-Orbit-Coupled Mott Insulator","authors":"A. Ghermaoui, M. Bosch Aguilera, R. Bouganne, R. Vatré, I. Fritsche, J. Beugnon, F. Gerbier","doi":"arxiv-2409.05828","DOIUrl":"https://doi.org/arxiv-2409.05828","url":null,"abstract":"We use Ramsey interferometry to study spin dynamics in the strongly\u0000interacting regime of spin-orbit-coupled quantum gases in one-dimensional\u0000optical lattices. We observe an intrinsic many-body dephasing mechanism immune\u0000to spin-echo in two-component Mott insulators. We ascribe the dephasing to the\u0000motion of hole-like defects in an otherwise inert Mott insulator, the spinless\u0000nature of the holes explaining the ineffectiveness of spin echo to restore it.\u0000We show that a model of spin-orbit-coupled hardcore bosons can explain\u0000quantitatively our experimental observations.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"106 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142176083","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 consider matter-wave solitons in spin-orbit coupled Bose-Einstein condensates embedded in optical lattice and study dynamics of soliton within the framework of Gross-Pitaevskii equations. We express spin components of the soliton pair in terms of nonlinear Bloch equation and investigate effective spin dynamics. It is seen that the effective magnetic field that appears in the Bloch equation is affected by the optical lattices, and thus the optical lattice influences the precessional frequency of the spin components. We make use of numerical approaches to investigate the dynamical behavior of density profiles and center-of-mass of the soliton pair in presence of the optical lattice. It is shown that the spin density is periodically varying due to flipping of spinors between the two states. The amplitude of spin flipping oscillation increases with lattice strength. We find that the system can also exhibit interesting nonlinear behavior for chosen values of parameters. We present a fixed point analysis to study the effects of optical lattices on the nonlinear dynamics of the spin components. It is seen that the optical lattice can act as a control parameter to change the dynamical behavior of the spin components from periodic to chaotic.
{"title":"Effective spin dynamics of spin-orbit coupled matter-wave solitons in optical lattices","authors":"Kajal Krishna Dey, Golam Ali Sekh","doi":"arxiv-2409.05861","DOIUrl":"https://doi.org/arxiv-2409.05861","url":null,"abstract":"We consider matter-wave solitons in spin-orbit coupled Bose-Einstein\u0000condensates embedded in optical lattice and study dynamics of soliton within\u0000the framework of Gross-Pitaevskii equations. We express spin components of the\u0000soliton pair in terms of nonlinear Bloch equation and investigate effective\u0000spin dynamics. It is seen that the effective magnetic field that appears in the\u0000Bloch equation is affected by the optical lattices, and thus the optical\u0000lattice influences the precessional frequency of the spin components. We make\u0000use of numerical approaches to investigate the dynamical behavior of density\u0000profiles and center-of-mass of the soliton pair in presence of the optical\u0000lattice. It is shown that the spin density is periodically varying due to\u0000flipping of spinors between the two states. The amplitude of spin flipping\u0000oscillation increases with lattice strength. We find that the system can also\u0000exhibit interesting nonlinear behavior for chosen values of parameters. We\u0000present a fixed point analysis to study the effects of optical lattices on the\u0000nonlinear dynamics of the spin components. It is seen that the optical lattice\u0000can act as a control parameter to change the dynamical behavior of the spin\u0000components from periodic to chaotic.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"40 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142176081","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}
Fotios Gkritsis, Daniel Dux, Jin Zhang, Naman Jain, Christian Gogolin, Philipp M. Preiss
We show that quantum number preserving Ans"atze for variational optimization in quantum chemistry find an elegant mapping to ultracold fermions in optical superlattices. Using native Hubbard dynamics, trial ground states for arbitrary molecular Hamiltonians can be prepared and their molecular energies measured in the lattice. The scheme requires local control over interactions and chemical potentials and global control over tunneling dynamics, but foregoes the need for optical tweezers, shuttling operations, or long-range interactions. We describe a complete compilation pipeline from the molecular Hamiltonian to the sequence of lattice operations, thus providing a concrete link between quantum simulation and chemistry. Our work enables the application of recent quantum algorithmic techniques, such as Double Factorization and quantum Tailored Coupled Cluster, to present-day fermionic optical lattice systems with significant improvements in the required number of experimental repetitions. We provide detailed quantum resource estimates for small non-trivial hardware experiments.
{"title":"Simulating Chemistry with Fermionic Optical Superlattices","authors":"Fotios Gkritsis, Daniel Dux, Jin Zhang, Naman Jain, Christian Gogolin, Philipp M. Preiss","doi":"arxiv-2409.05663","DOIUrl":"https://doi.org/arxiv-2409.05663","url":null,"abstract":"We show that quantum number preserving Ans\"atze for variational optimization\u0000in quantum chemistry find an elegant mapping to ultracold fermions in optical\u0000superlattices. Using native Hubbard dynamics, trial ground states for arbitrary\u0000molecular Hamiltonians can be prepared and their molecular energies measured in\u0000the lattice. The scheme requires local control over interactions and chemical\u0000potentials and global control over tunneling dynamics, but foregoes the need\u0000for optical tweezers, shuttling operations, or long-range interactions. We\u0000describe a complete compilation pipeline from the molecular Hamiltonian to the\u0000sequence of lattice operations, thus providing a concrete link between quantum\u0000simulation and chemistry. Our work enables the application of recent quantum\u0000algorithmic techniques, such as Double Factorization and quantum Tailored\u0000Coupled Cluster, to present-day fermionic optical lattice systems with\u0000significant improvements in the required number of experimental repetitions. We\u0000provide detailed quantum resource estimates for small non-trivial hardware\u0000experiments.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"21 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142176084","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 Aharonov-Bohm (AB) caging is the phenomenon of extreme localization of particles experiencing magnetic field in certain tight binding lattices. While the AB caging involves the localization of non-interacting particles, it often breaks down due to the effect of interaction resulting in delocalization. In this study, however, we show that interactions under proper conditions can restore the AB caging of particles. By analysing the dynamics of two bosons possessing both onsite and nearest neighbor interactions on a one dimensional diamond/rhombus lattice pierced by an artificial gauge field, we show that the AB caging is restored when both the interactions are of equal strengths. Furthermore, the AB caged bosons, with the onset of an antisymmetric correlated onsite disorder in the lattice, escape from the cages, demonstrating the phenomenon of inverse Anderson transition which is known to be exhibited by the non-interacting AB caged particles. We also obtain situation similar to the inverse Anderson transition when an external potential gradient is applied to the lattice. These findings offer route to realize the AB caging and inverse Anderson transition of interacting particles in experiments involving ultracold atoms in optical lattices or superconducting circuits.
阿哈诺夫-玻姆（AB）笼是在某些紧密结合晶格中经历磁场的粒子的极端局部化现象。虽然 AB 笼涉及非相互作用粒子的局部化，但它经常由于相互作用的影响而破裂，导致非局部化。然而，在本研究中，我们发现在适当条件下的相互作用可以恢复粒子的 AB 笼。通过分析两个玻色子在被人工规纳场穿透的一维金刚石/菱形晶格上同时具有原位和近邻相互作用的动力学，我们证明当两种相互作用强度相等时，AB笼是可以恢复的。此外，AB 笼玻色子在晶格中开始出现非对称相关无序时，会从笼子中逃逸出来，这证明了反安德森转变现象，而这种现象已知是由当时非相互作用的 AB 笼粒子表现出来的。当向晶格施加外部电势梯度时，我们还得到了类似于反安德森转变的情况。这些发现为在涉及光晶格或超导电路中的超冷原子的实验中实现相互作用粒子的 AB 笼和逆安德森转变提供了途径。
{"title":"Dynamics of interacting particles on a rhombus chain: Aharonov-Bohm caging and inverse Anderson transition","authors":"Sitaram Maity, Biswajit Paul, Soumya Prakash Sharma, Tapan Mishra","doi":"arxiv-2409.05853","DOIUrl":"https://doi.org/arxiv-2409.05853","url":null,"abstract":"The Aharonov-Bohm (AB) caging is the phenomenon of extreme localization of\u0000particles experiencing magnetic field in certain tight binding lattices. While\u0000the AB caging involves the localization of non-interacting particles, it often\u0000breaks down due to the effect of interaction resulting in delocalization. In\u0000this study, however, we show that interactions under proper conditions can\u0000restore the AB caging of particles. By analysing the dynamics of two bosons\u0000possessing both onsite and nearest neighbor interactions on a one dimensional\u0000diamond/rhombus lattice pierced by an artificial gauge field, we show that the\u0000AB caging is restored when both the interactions are of equal strengths.\u0000Furthermore, the AB caged bosons, with the onset of an antisymmetric correlated\u0000onsite disorder in the lattice, escape from the cages, demonstrating the\u0000phenomenon of inverse Anderson transition which is known to be exhibited by the\u0000non-interacting AB caged particles. We also obtain situation similar to the\u0000inverse Anderson transition when an external potential gradient is applied to\u0000the lattice. These findings offer route to realize the AB caging and inverse\u0000Anderson transition of interacting particles in experiments involving ultracold\u0000atoms in optical lattices or superconducting circuits.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"385 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142176082","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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