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Fluctuations are a key property of both classical and quantum systems. While the fluctuations are well understood for many quantum systems at zero temperature, the case of an interacting quantum system at finite temperature still poses…

We consider a two-component Bose-Einstein condensate with and without synthetic "spin-orbit" interactions in two dimensions. Density- and phase-fluctuations of the condensate are included, allowing us to study the impact of thermal…

量子气体 · 物理学 2016-08-22 Peder N. Galteland , Asle Sudbø

We study exactly soluble system of trapped bosonic particles interacting by a model harmonic forces. The model allows for detailed examination of the order parameter (condensate wave function) as well as concept of the off-diagonal and…

软凝聚态物质 · 物理学 2009-10-31 Mariusz Gajda , Magdalena A. Zaluska-Kotur , Jan Mostowski

The notion of fluctuation indices, characterizing thermodynamic stability of statistical systems, is advanced. These indices are especially useful for investigating the stability of nonuniform and trapped atomic assemblies. The fluctuation…

量子气体 · 物理学 2015-05-19 V. I. Yukalov

The phase transition of Bose-Einstein condensation is studied in the critical regime, when fluctuations extend far beyond the length scale of thermal de Broglie waves. Using matter-wave interference we measure the correlation length of…

统计力学 · 物理学 2007-10-10 Tobias Donner , Stephan Ritter , Thomas Bourdel , Anton Öttl , Michael Köhl , Tilman Esslinger

We study the effects of random scatterers on the ground state of the one-dimensional Lieb-Liniger model of interacting bosons on the unit interval in the Gross-Pitaevskii regime. We prove that Bose Einstein condensation survives even a…

数学物理 · 物理学 2013-01-25 R. Seiringer , J. Yngvason , V. A. Zagrebnov

We review the phenomenon of equilibrium fluctuations in the number of condensed atoms in a trap containing N atoms total. We start with a history of the Bose-Einstein distribution, the Einstein-Uhlenbeck debate concerning the rounding of…

In response to a recent manuscript [cond-mat/0609685] on the analysis of interference patterns produced by ultracold atoms released from an optical lattice, we point out that in the presence of a Bose-Einstein condensate the interference…

统计力学 · 物理学 2007-05-23 Fabrice Gerbier , Simon Foelling , Artur Widera , Immanuel Bloch

We quantify the effect of phase fluctuations on atom chip interferometry of Bose-Einstein condensates. At very low temperatures, we observe small phase fluctuations, created by mean-field depletion, and a resonant production of vortices…

其他凝聚态物理 · 物理学 2015-05-13 R. G. Scott , D. A. W. Hutchinson , T. E. Judd , T. M. Fromhold

Condensation of fluctuations is an interesting phenomenon conceptually distinct from condensation on average. One stricking feature is that, contrary to what happens on average, condensation of fluctuations may occurr even in the absence of…

统计力学 · 物理学 2014-07-31 Marco Zannetti , Federico Corberi , Giuseppe Gonnella

We use magnetic levitation and a variable-separation dual optical plug to obtain clear spatial interference between two condensates axially separated by up to 0.25 mm -- the largest separation observed with this kind of interferometer.…

量子气体 · 物理学 2010-04-15 M. E. Zawadzki , P. F. Griffin , E. Riis , A. S. Arnold

We present a new method of calculating the distribution function and fluctuations for a Bose-Einstein condensate (BEC) of N interacting atoms. The present formulation combines our previous master equation and canonical ensemble…

统计力学 · 物理学 2009-11-11 Anatoly A. Svidzinsky , Marlan O. Scully

We investigate numerically the momentum correlations in a two dimensional, harmonically trapped interacting Bose system at $T=0$ temperature, by using a particle number preserving Bogoliubov approximation. Interaction induced quantum…

量子气体 · 物理学 2022-04-18 Izabella Lovas , Balázs Dóra , Eugene Demler , Gergely Zaránd

Quantum systems are typically characterized by the inherent fluctuation of their physical observables. Despite this fundamental importance, the investigation of the fluctuations in interacting quantum systems at finite temperature continues…

We study numerically the low temperature behavior of a one-dimensional Bose gas trapped in an optical lattice. For a sufficient number of particles and weak repulsive interactions, we find a clear regime of temperatures where density…

统计力学 · 物理学 2013-05-29 C. Gils , L. Pollet , A. Vernier , F. Hebert , G. G. Batrouni , M. Troyer

We discuss effects of particle interaction on Bose condensation in inhomogeneous traps with and without optical lattice. Interaction pushes normal particles away from the condensate droplet, which is located in the center of the trap,…

其他凝聚态物理 · 物理学 2009-11-13 S. Chatterjee , A. E. Meyerovich

Every Bose-Einstein condensate is in a highly entangled state, as a consequence of the fact that the particles in a condensate are distributed over space in a coherent way. It is proved that any two regions within a condensate of finite…

量子物理 · 物理学 2009-11-07 Christoph Simon

The zero-temperature system of two dilute overlapping Bose-Einstein condensates is unstable against long wavelength excitations if the interaction strength between the distinguishable bosons exceeds the geometric mean of the like-boson…

凝聚态物理 · 物理学 2009-10-30 Eddy Timmermans

We analyze density-density correlations of expanding clouds of weakly interacting two-dimensional Bose gases below and above the Berezinskii-Kosterlitz-Thouless transition, with particular focus on short-time expansions. During…

量子气体 · 物理学 2014-05-13 Vijay Pal Singh , Ludwig Mathey

We derive an inequality governing ``long range'' order for a localized Bose-condensed state, relating the condensate fraction at a given temperature with effective curvature radius of the condensate and total particle number. For the…

凝聚态物理 · 物理学 2007-05-23 Uwe R. Fischer