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Inspired by recent experiments on Bose-Einstein condensates in ring traps, we investigate the topological properties of the phase of a one-dimensional Bose field in the presence of both thermal and quantum fluctuations -- the latter ones…

We study the ground state of a uniform Bose gas at zero temperature in the Hartree-Fock-Bogoliubov (HFB) approximation. We find a solution of the HFB equations which obeys the Hugenholtz-Pines theorem. This solution imposes a macroscopic…

Condensed Matter · Physics 2007-05-23 Patrick Navez

We investigate the spin-magnetism of mesoscopic metallic grains. In the average response of an ensemble of grains there are corrections to macroscopic behaviour due to both spectral fluctuations and electron-electron interactions. These…

Condensed Matter · Physics 2009-10-22 H. Mathur , M. Gokcedag , A. Douglas Stone

We compute high-order baryon number fluctuations at finite temperature and density within a QCD-assisted low energy effective field theory. Quantum, thermal and density fluctuations are incorporated with the functional renormalization group…

High Energy Physics - Phenomenology · Physics 2021-10-04 Wei-jie Fu , Xiaofeng Luo , Jan M. Pawlowski , Fabian Rennecke , Rui Wen , Shi Yin

The condensate number distribution during the transition of a dilute, weakly interacting gas of N=200 bosonic atoms into a Bose-Einstein condensate is modeled within number conserving master equation theory of Bose-Einstein condensation.…

Quantum Physics · Physics 2012-12-27 Alexej Schelle

We study the statistics of large deviations of the intensive work done in an interaction quench of a one-dimensional Bose gas with a large number N of particles, system size L and fixed density. We consider the case in which the system is…

Statistical Mechanics · Physics 2019-09-12 Gabriele Perfetto , Lorenzo Piroli , Andrea Gambassi

We investigate the thermodynamic properties of a dilute Bose gas in a correlated random potential using exact path integral Monte Carlo methods. The study is carried out in continuous space and disorder is produced in the simulations by a…

Quantum Gases · Physics 2015-02-26 S. Pilati , S. Giorgini , M. Modugno , N. Prokof'ev

We use a three-dimensional molecular dynamics simulation to study the single particle distribution function of a dilute granular gas driven by a vertically oscillating plate at high accelerations ($15g - 90g$). We find that the density and…

Soft Condensed Matter · Physics 2009-11-10 Sung Joon Moon , J. B. Swift , Harry L. Swinney

We study the equilibrium correlations of a Bose gas in an elongated three-dimensional harmonic trap using a grand-canonical classical-field method. We focus in particular on the progressive transformation of the gas from the normal phase,…

Quantum Gases · Physics 2013-07-16 Michael C. Garrett , Tod M. Wright , Matthew J. Davis

We investigate the conditions under which quantum fluctuations are relevant for the quantitative interpretation of experiments with ultracold Bose gases. This requires to go beyond the description in terms of the Gross-Pitaevskii and…

Other Condensed Matter · Physics 2008-11-26 J. Berges , T. Gasenzer

Motivated by the wide range of applicability of the fluctuation and dissipation phenomena in non-equilibrium systems, we provide a universal study scheme for the dissipation of the energy and the corresponding Brownian motion analysis of…

High Energy Physics - Theory · Physics 2018-09-26 Dimitrios Giataganas , Da-Shin Lee , Chen-Pin Yeh

We determine the regime where the widespread classical field description for quantum Bose gases is quantitatively accurate in 1d, 2d, and 3d by a careful study of the ideal gas limit. Numerical benchmarking in 1d shows that the ideal gas…

Quantum Gases · Physics 2015-12-16 Joanna Pietraszewicz , Piotr Deuar

Particle number fluctuations are studied in relativistic Bose and Fermi gases. The calculations are done within both the grand canonical and canonical ensemble. The fluctuations in the canonical ensemble are found to be different from those…

Nuclear Theory · Physics 2008-11-26 V. V. Begun , M. I. Gorenstein

We study mesoscopic linear statistics for a class of determinantal point processes which interpolates between Poisson and Gaussian Unitary Ensemble statistics. These processes are obtained by modifying the spectrum of the correlation kernel…

Probability · Mathematics 2019-07-23 Kurt Johansson , Gaultier Lambert

We investigate the statistical distribution for ideal Bose gases with constant particle density in the 3D box of volume $V=L^{3}$. By changing linear size $L$ and imposing different boundary conditions on the system, we present a numerical…

Quantum Gases · Physics 2021-04-13 Run Cheng , Qian-Yi Wang , Yong-Long Wang , Hong-Shi Zong

We explore statistical fluctuations over the ensemble of quantum trajectories in a model of two-dimensional free fermions subject to projective monitoring of local charge across the measurement-induced phase transition. Our observables are…

Quantum Physics · Physics 2026-02-11 Igor Poboiko , Igor V. Gornyi , Alexander D. Mirlin

Droplet states of ultracold gases which are stabilized by fluctuations have recently been observed for dipolar and two component Bose gases. These systems present a novel form of equilibrium where an instability at the mean field level is…

Quantum Gases · Physics 2020-09-29 S. Furkan Ozturk , Enes Aybar , M. O. Oktel

The derivation of mean-field limits for quantum systems at zero temperature has attracted many researchers in the last decades. Recent developments are the consideration of pair correlations in the effective description, which lead to a…

Mathematical Physics · Physics 2019-12-12 Sören Petrat , Peter Pickl , Avy Soffer

We study the thermodynamics of ultrasmall metallic grains with level spacing $\delta$ comparable or smaller than the pairing correlation energy, at finite temperatures, $T \gsim \delta$. We describe a method which allows to find quantum…

Superconductivity · Physics 2007-05-23 G. Falci , A. Fubini

The large time and long distance behavior of the temperature correlation functions of the quantum one-dimensional Bose gas is considered. We obtain integral equations, which solutions describe the asymptotics. These equations are closely…

solv-int · Physics 2009-10-31 N. A. Slavnov