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Position distributions of constituent particles of the perfect Bose-gas trapped in exponentially and polynomially anisotropic boxes are investigated by means of the boson random point fields (processes) and by the spatial random…

数学物理 · 物理学 2012-07-10 Hiroshi Tamura , Valentin A. Zagrebnov

We report a novel algorithm of constructing linear and nonlinear potentials in the two-dimensional Gross-Pitaevskii equation subject to given boundary conditions, which allow for exact analytic solutions. The obtained solutions represent…

可精确求解与可积系统 · 物理学 2015-06-03 Zhenya Yan , V. V. Konotop , A. V. Yulin , W. M. Liu

We investigate superdiffusion for stochastic processes generated by nonuniformly hyperbolic system models, in terms of the convergence of rescaled distributions to the normal distribution following the abnormal central limit theorem, which…

动力系统 · 数学 2017-09-05 Luke Mohr , Hong-Kun Zhang

The description of molecular motion by macroscopic hydrodynamics has a long and continuing history. The Stokes-Einstein relation between the diffusion coefficient of a solute and the solvent viscosity predicted using macroscopic continuum…

无序系统与神经网络 · 物理学 2007-05-23 Xiaoyu Xia , Peter G. Wolynes

We investigate theoretically the superfluidity of a one-dimensional boson system whose hopping energy is periodically modulated with a zero time average, which results in the suppression of first-order single-particle hopping processes. The…

量子气体 · 物理学 2023-06-08 Jesús Mateos , Charles Creffield , Fernando Sols

We develop the dilute Bose gas model with random potential in order to understand the Bose system in random media such as 4He in porous glass. Using the random potential taking account of the pore size dependence, we can compare…

软凝聚态物质 · 物理学 2009-11-07 Michikazu Kobayashi , Makoto Tsubota

The question of whether a Bose solid has a superfluid fraction is discussed. We confirm and expand on the remark of Chester that quantum fluctuations make this inevitable, roughly estimate its magnitude, and show that true rigid rotation…

统计力学 · 物理学 2007-05-23 Philip Anderson

There is a long standing problem about how close a connection exists between superfluidity and Bose condensation. Employing recent technology, for the case of confined finite Bose condensed systems in TOP traps, these questions concerning…

统计力学 · 物理学 2007-05-23 Juhao Wu , A. Widom

The conventional theory of hydrodynamics describes the evolution in time of chaotic many-particle systems from local to global equilibrium. In a quantum integrable system, local equilibrium is characterized by a local generalized Gibbs…

统计力学 · 物理学 2018-02-21 Vir B. Bulchandani , Romain Vasseur , Christoph Karrasch , Joel E. Moore

On the basis of gauge invariance, it is proven in an elementary and straightforward manner, but without invoking any {\it ad hoc} assumption, that the existence of off-diagonal long-range order in one-particle reduced density matrix in Bose…

统计力学 · 物理学 2009-11-07 Gang Su , Masuo Suzuki

We study theoretically and experimentally the emergence of supersolid properties in a dipolar Bose-Einstein condensate. The theory reveals a ground state phase diagram with three distinct regimes - a regular Bose-Einstein condensate,…

Two-dimensional (2D) systems play a special role in many-body physics. Because of thermal fluctuations, they cannot undergo a conventional phase transition associated to the breaking of a continuous symmetry. Nevertheless they may exhibit a…

We present a scheme for creating macroscopic superpositions of the direction of superfluid flow around a loop. Using the Bose-Hubbard model we study an array of Bose-Einstein condensates trapped in optical potentials and coupled to one…

量子物理 · 物理学 2009-11-13 David W. Hallwood , Jacob Dunningham , Keith Burnett

The experimental realization of a thin layer of spin-polarized hydrogen adsorbed on top of the surface of superfluid 4He provides one of the best examples of a stable nearly two-dimensional quantum Bose gas. We report a theoretical study of…

量子气体 · 物理学 2015-06-18 J. M. Marin , L. Vranjes Markic , J. Boronat

We investigate the phenomenon of Bose-Einstein condensation and superfluidity in a Bose gas at zero temperature with disorder. By using the Diffusion Monte-Carlo method we calculate the superfluid and the condensate fraction of the system…

凝聚态物理 · 物理学 2009-11-07 G. E. Astrakharchik , J. Boronat , J. Casulleras , S. Giorgini

The Sutherland approximation to the van der Waals forces is applied to the derivation of a self-consistent Vlasov-type field in a liquid filling a half space, bordering vacuum. The ensuing Vlasov equation is then derived, and solved to…

软凝聚态物质 · 物理学 2015-09-02 V. Molinari , B. D. Ganapol , D. Mostacci

Nonthermal fixed points of the dynamics of a dilute degenerate Bose gas far from thermal equilibrium are analyzed in two and three spatial dimensions. Universal power-law distributions, previously found within a nonperturbative…

量子气体 · 物理学 2012-05-02 Boris Nowak , Jan Schole , Dénes Sexty , Thomas Gasenzer

The superfluid fraction $f$ of a quantum fluid is defined in terms of the response of the system to a weak and constant drag. Notably, Leggett long ago derived two simple expressions providing a rigorous upper bound and a heuristic lower…

量子气体 · 物理学 2025-01-16 Daniel Pérez-Cruz , Grigori E. Astrakharchik , Pietro Massignan

The hierarchy of equations for reduced density matrices that describes a thermodynamically equilibrium quantum system obtained earlier by the author is investigated in the momentum representation. In the paper it is shown that the use of…

量子物理 · 物理学 2011-05-19 V. A. Golovko

We review the concept of superfluidity and, based on real and thought experiments, we use the formalism of second quantization to derive expressions that allow the calculation of the superfluid density for general Hamiltonians with…

统计力学 · 物理学 2014-10-03 V. G. Rousseau