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Shape-induced Bose-Einstein Condensation 形状诱导的玻色-爱因斯坦凝聚
arXiv - PHYS - Quantum Gases Pub Date : 2024-08-22 DOI: arxiv-2408.12698
Cem Kurt, Altug Sisman, Alhun Aydin
{"title":"Shape-induced Bose-Einstein Condensation","authors":"Cem Kurt, Altug Sisman, Alhun Aydin","doi":"arxiv-2408.12698","DOIUrl":"https://doi.org/arxiv-2408.12698","url":null,"abstract":"Recent advancements in flat-bottomed optical box traps have enabled the\u0000realization of homogeneous Bose gases, allowing for the exploration of\u0000Bose-Einstein condensation in more complex confinement geometries. Here we\u0000propose a shape-induced Bose-Einstein condensation at fixed size, temperature,\u0000and density. We investigate the impact of quantum shape effects on a\u0000non-interacting Bose gas confined within nested square domains, where the shape\u0000parameter is defined and controlled by the rotation angle between the inner and\u0000outer squares. The size-invariant shape transformation significantly affects\u0000the condensate fraction and specific heat of the system. Our work opens new\u0000avenues for controlling quantum systems through geometric manipulation,\u0000providing insights into the thermodynamic properties of Bose gases under\u0000shape-induced quantum effects.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"53 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142176130","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}
引用次数: 0
General hydrodynamic approach for a cold Bose gas 冷玻色气体的一般流体力学方法
arXiv - PHYS - Quantum Gases Pub Date : 2024-08-22 DOI: arxiv-2408.12363
V. M. Pergamenshchik
{"title":"General hydrodynamic approach for a cold Bose gas","authors":"V. M. Pergamenshchik","doi":"arxiv-2408.12363","DOIUrl":"https://doi.org/arxiv-2408.12363","url":null,"abstract":"The aim of this paper is to derive the hydrodynamics for a cold Bose gas from\u0000the microscopic platform based on the many-body Schrodinger equation and\u0000general assumptions of the hydrodynamic approach (HA) applicable to any\u0000dimension. We develop a general HA for a cold spatially inhomogeneous Bose gas\u0000assuming two different temporal and spatial scales and obtain the energy as a\u0000functional of both fast inner quantum mode and slow macroscopic mode. The\u0000equations governing the fast and slow modes are obtained from this functional\u0000by their independent variations. The fast mode is the wave function in the\u0000stationary state at local density which can be ground, excited with a nonzero\u0000atom momenta, or a superposition of more than one states. The energy eigenvalue\u0000(or expectation value) of this local wave function universally enters the\u0000hydrodynamic equation for the slow mode in the form of the local chemical\u0000potential which incorporates the inner local momentum. For zero inner momenta\u0000and particular choices of this eigenvalue as a function of gas density, this\u0000equation reduces to the known equations based on the local density\u0000approximation. If however the inner momenta are nonzero, the equation includes\u0000the interaction between these momenta and the slow mode velocity. Relation\u0000between this general HA and the standard local density approximation is\u0000elaborated. Two effects of the local momenta and their density dependence on\u0000the soliton solutions are demonstrated.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"11 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142175865","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}
引用次数: 0
Impurities induced vortex lattice melting and turbulence in rotating Bose-Einstein condensates 旋转玻色-爱因斯坦凝聚体中杂质诱导的涡晶格熔化和湍流
arXiv - PHYS - Quantum Gases Pub Date : 2024-08-20 DOI: arxiv-2408.10565
Rony Boral, Swarup K. Sarkar, Paulsamy Muruganandam, Pankaj K. Mishra
{"title":"Impurities induced vortex lattice melting and turbulence in rotating Bose-Einstein condensates","authors":"Rony Boral, Swarup K. Sarkar, Paulsamy Muruganandam, Pankaj K. Mishra","doi":"arxiv-2408.10565","DOIUrl":"https://doi.org/arxiv-2408.10565","url":null,"abstract":"We investigate the impact of various impurities on rotating Bose-Einstein\u0000condensates confined within two-dimensional harmonic and optical lattice\u0000potentials. Without impurities, the rotating condensates display an organized\u0000square lattice pattern of vortices due to the influence of a square optical\u0000lattice. The introduction of impurity potentials disrupts this lattice\u0000structure, inducing a phase transition from an ordered state to a disordered\u0000state. Our analysis encompasses both static and dynamic types of impurities.\u0000The static impurities are implemented using a randomly varying potential with a\u0000spatially random amplitude. The transformation of the vortex lattice structure,\u0000in this case, relies on the strength and lattice constant of the impurity\u0000potential. For dynamical impurities, we employ a Gaussian obstacle that orbits\u0000around the condensate at a specific distance from its center. In this scenario,\u0000the vortex lattice melting occurs beyond a certain threshold radius and\u0000frequency of oscillation of the rotating obstacle. We characterize the melting\u0000of the vortex lattice due to impurities using various quantities, such as the\u0000structure factor and angular momentum. Notably, in the vortex-melted state, the\u0000angular momentum follows a power-law dependence with an exponent of\u0000approximately $1.73$, regardless of the type of impurity. Finally, we\u0000demonstrate the signature of the presence of a turbulent state within the\u0000vortex-melted state generated by both static and dynamical impurities.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"150 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142175864","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}
引用次数: 0
Cornwall-Jackiw-Tomboulis effective field theory to nonuniversal equation of state of an ultracold Bose gas 从 Cornwall-Jackiw-Tomboulis 有效场理论到超冷玻色气体的非普遍状态方程
arXiv - PHYS - Quantum Gases Pub Date : 2024-08-19 DOI: arxiv-2408.09668
Yi Zhang, Zhaoxin Liang
{"title":"Cornwall-Jackiw-Tomboulis effective field theory to nonuniversal equation of state of an ultracold Bose gas","authors":"Yi Zhang, Zhaoxin Liang","doi":"arxiv-2408.09668","DOIUrl":"https://doi.org/arxiv-2408.09668","url":null,"abstract":"The equation of state (EOS) serves as a cornerstone in elucidating the\u0000properties of quantum many-body systems. A recent highlight along this research\u0000line consists of the derivation of the nonuniversal Lee-Huang-Yang (LHY) EOS\u0000for an ultracold quantum bosonic gas with finite-range interatomic interactions\u0000using one-loop effective path-integral field theory. The purpose of this work\u0000is to extend Salasnich's pioneering work to uncover beyond-LHY corrections to\u0000the EOS by employing the Cornwall-Jackiw-Tomboulis (CJT) effective field\u0000theory, leveraging its two-loop approximation. In this end, we expand\u0000Salasnich's remarkable findings of EOS to the next leading order characterized\u0000by $left(rho a_{text{s}}^{3}right)^{2}$, with $rho$ and $a_{text{s}}$\u0000being the density and the $s$-wave scattering length. Notably, we derive\u0000analytical expressions for quantum depletion and chemical potential,\u0000representing the next-to-LHY corrections to nonuniversal EOS induced by\u0000finite-range effects. Moreover, we propose an experimental protocol of\u0000observing the nonuniversal next-to-LHY corrections to the EOS by calculating\u0000fractional frequency shifts in the breathing modes. The nonuniversal beyond-LHY\u0000EOS in this work paves the way of using LHY effects in quantum simulation\u0000experiments and for investigations beyond the LHY regime.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"19 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142175866","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}
引用次数: 0
Quantum Reservoir Computing Using Bose-Einstein Condensate with damping 利用带阻尼的玻色-爱因斯坦凝结物进行量子存储计算
arXiv - PHYS - Quantum Gases Pub Date : 2024-08-18 DOI: arxiv-2408.09577
Yuki Kurokawa, Junichi Takahasi, Yoshiya Yamanaka
{"title":"Quantum Reservoir Computing Using Bose-Einstein Condensate with damping","authors":"Yuki Kurokawa, Junichi Takahasi, Yoshiya Yamanaka","doi":"arxiv-2408.09577","DOIUrl":"https://doi.org/arxiv-2408.09577","url":null,"abstract":"Quantum reservoir computing is a type of machine learning in which the\u0000high-dimensional Hilbert space of quantum systems contributes to performance.\u0000In this study, we employ the Bose-Einstein condensate of dilute atomic gas as a\u0000reservoir to examine the effect of reduction in the number of condensed\u0000particles, damping, and the nonlinearity of the dynamics. It is observed that\u0000for the condensate to function as a reservoir, the physical system requires\u0000damping. The nonlinearity of the dynamics improves the performance of the\u0000reservoir, while the reduction in the number of condensed particles degrades\u0000the performance.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"86 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142175867","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}
引用次数: 0
Vortices in the Many-Body Excited States of Interacting Bosons in Two Dimension 二维相互作用玻色子多体激发态中的旋涡
arXiv - PHYS - Quantum Gases Pub Date : 2024-08-14 DOI: arxiv-2408.07570
Mateusz Ślusarczyk, Krzysztof Pawłowski
{"title":"Vortices in the Many-Body Excited States of Interacting Bosons in Two Dimension","authors":"Mateusz Ślusarczyk, Krzysztof Pawłowski","doi":"arxiv-2408.07570","DOIUrl":"https://doi.org/arxiv-2408.07570","url":null,"abstract":"Quantum vortices play an important role in the physics of two-dimensional\u0000quantum many-body systems, though they usually are understood in the\u0000single-particle framework like the mean-field approach. Inspired by the study\u0000on the relations between solitons and yrast states, we investigate here the\u0000emergence of vortices from the eigenstates of a N -body Hamiltonian of\u0000interacting particles trapped in a disk. We analyse states that appear by\u0000consecutively measuring the positions of particles. These states have\u0000densities, phases, and energies closely resembling mean-field vortices. We\u0000discuss similarities, but also point out purely many-body features, such as\u0000vortex smearing due to the quantum fluctuation of their center. The ab initio\u0000analysis of the many-body system, and mean-field approaches are supported by\u0000the analysis within the Bogoliubov approach.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"44 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142175869","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}
引用次数: 0
Density-Dependent Gauge Field with Raman Lattices 拉曼晶格的密度相关量子场
arXiv - PHYS - Quantum Gases Pub Date : 2024-08-13 DOI: arxiv-2408.06777
Xiang-Can Cheng, Zong-Yao Wang, Jinyi Zhang, Shuai Chen, Xiaotian Nie
{"title":"Density-Dependent Gauge Field with Raman Lattices","authors":"Xiang-Can Cheng, Zong-Yao Wang, Jinyi Zhang, Shuai Chen, Xiaotian Nie","doi":"arxiv-2408.06777","DOIUrl":"https://doi.org/arxiv-2408.06777","url":null,"abstract":"The study of the gauge field is an everlasting topic in modern physics.\u0000Spin-orbit coupling is a powerful tool in ultracold atomic systems, resulting\u0000in an artificial gauge field that can be easily manipulated and observed in a\u0000tabletop environment. Combining optical lattices and atom-atom interaction, the\u0000artificial gauge field can be made density-dependent. In this work, we\u0000investigate a one-dimensional Bose-Hubbard model with spin-orbit coupling,\u0000where a density-dependent gauge field emerges spontaneously in low-energy\u0000physics. First, we focus on the two-body quantum walk dynamics and give an\u0000interpretation of the phenomena with resonant tunneling. Then, we calculate the\u0000mean-field phase diagram using the two-site Gutzwiller ansatz. Two types of\u0000superfluid phase and a Mott insulator phase are found. Finally, we discuss the\u0000experimental realization protocol with Raman lattices.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"40 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142175868","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}
引用次数: 0
Engineering the Bogoliubov Modes through Geometry and Interaction: From Collective Edge Modes to Flat-band Excitations 通过几何和相互作用设计波哥留布夫模式：从集体边缘模到平带激励
arXiv - PHYS - Quantum Gases Pub Date : 2024-08-12 DOI: arxiv-2408.06125
Maryam Darvishi, Fatemeh Pouresmaeeli, Saeed H. Abedinpour
{"title":"Engineering the Bogoliubov Modes through Geometry and Interaction: From Collective Edge Modes to Flat-band Excitations","authors":"Maryam Darvishi, Fatemeh Pouresmaeeli, Saeed H. Abedinpour","doi":"arxiv-2408.06125","DOIUrl":"https://doi.org/arxiv-2408.06125","url":null,"abstract":"We propose a procedure to engineer solid-state lattice models with\u0000superlattices of interaction-coupled Bose-Einstein condensates. We show that\u0000the dynamical equation for the excitations of Bose-Einstein condensates at zero\u0000temperature can be expressed in an eigenvalue form that resembles the\u0000time-independent Schr{\"o}dinger equation. The eigenvalues and eigenvectors of\u0000this equation correspond to the dispersions of the collective modes and the\u0000amplitudes of the density oscillations. This alikeness opens the way for the\u0000simulation of different tight-binding models with arrays of condensates. We\u0000demonstrate, in particular, how we can model a one-dimensional\u0000Su-Schrieffer-Heeger lattice supporting topological edge modes and a\u0000two-dimensional Lieb lattice with flat-band excitations with superlattices of\u0000Bose-Einstein condensates.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"4 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142175870","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}
引用次数: 0
Hysteresis loops in spinor BECs subject to synthetic gauge fields 受合成规规场影响的自旋BEC中的滞后环
arXiv - PHYS - Quantum Gases Pub Date : 2024-08-08 DOI: arxiv-2408.04161
Shuji Jia, Jintao Xu, Qian Jia, Haibo Qiu, Antonio Muñoz Mateo
{"title":"Hysteresis loops in spinor BECs subject to synthetic gauge fields","authors":"Shuji Jia, Jintao Xu, Qian Jia, Haibo Qiu, Antonio Muñoz Mateo","doi":"arxiv-2408.04161","DOIUrl":"https://doi.org/arxiv-2408.04161","url":null,"abstract":"We explore the hysteretic dynamics of spinor Bose-Einstein condensates of\u0000ultracold atoms loaded in static 2D ring geometries and subjected to varying\u0000synthetic magnetic fields. Electrically neutral, pseudo-spin-$1/2$ condensates\u0000are probed by one-component weak-link potentials that make available paths for\u0000the transit of vortices into and out of the ring in both components, and thus\u0000can control the number of flux quanta threading the ring hole. For\u0000perpendicular fields, domain walls that are dynamically generated in the\u0000relative phase of the spin components are shown to play a key role in driving\u0000the hysteretic behaviour of the whole system through changes in the net\u0000magnetic flux. In the presence of spin-orbit-coupling, hysteresis is exhibited\u0000around the phase transitions found by the metastable current states for varying\u0000fields.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"24 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141944242","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}
引用次数: 0
Kolmogorov turbulence in atomic Bose-Einstein condensates 原子玻色-爱因斯坦凝聚体中的柯尔莫哥洛夫湍流
arXiv - PHYS - Quantum Gases Pub Date : 2024-08-08 DOI: arxiv-2408.04715
Mingshu Zhao, Junheng Tao, Ian Spielman
{"title":"Kolmogorov turbulence in atomic Bose-Einstein condensates","authors":"Mingshu Zhao, Junheng Tao, Ian Spielman","doi":"arxiv-2408.04715","DOIUrl":"https://doi.org/arxiv-2408.04715","url":null,"abstract":"We investigated turbulence in atomic Bose-Einstein condensates (BECs) using a\u0000minimally destructive, impurity injection technique analogous to particle image\u0000velocimetry in conventional fluids. Our approach transfers small regions of the\u0000BEC into a different hyperfine state, and tracks their displacement ultimately\u0000yielding the velocity field. This allows us to quantify turbulence in the same\u0000way as conventional in fluid dynamics in terms of velocity-velocity correlation\u0000functions called velocity structure functions that obey a Kolmogorov scaling\u0000law. Furthermore the velocity increments show a clear fat-tail non-Gaussian\u0000distribution that results from intermittency corrections to the initial \"K41\"\u0000Kolmogorov theory. Our observations are fully consistent with the later \"KO62\"\u0000description. These results are validated by a 2D dissipative Gross-Pitaevskii\u0000simulation.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"62 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141944241","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}
引用次数: 0
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