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We investigate the thermodynamics of a Bose gas interacting with repulsive forces and confined in a harmonic trap. We show that the relevant parameters of the system (temperature, number N of atoms, harmonic oscillator length, deformation…

Condensed Matter · Physics 2009-10-28 S. Giorgini , L. Pitaevskii , S. Stringari

We derive the equation of state of a Bose gas with contact interactions using relativistic quantum field theory. The calculation accounts for both thermal and quantum corrections up to 1-loop order. We work in the Hartree-Fock-Bogoliubov…

High Energy Physics - Theory · Physics 2022-09-14 Anushrut Sharma , Guram Kartvelishvili , Justin Khoury

Matsubara Green's functions for interacting bosons are expressed as classical statistical averages corresponding to a linear imaginary-time stochastic differential equation. This makes direct numerical simulations applicable to the study of…

Condensed Matter · Physics 2009-10-30 L. I. Plimak , M. Fleischhauer , D. F. Walls

The superfluid transition of a repulsive Bose gas in the presence of a sinusoidal potential which represents a simple-cubic optical lattice is investigate using quantum Monte Carlo simulations. At the average filling of one particle per…

Quantum Gases · Physics 2015-06-18 T. T. Nguyen , A. J. Herrmann , M. Troyer , S. Pilati

We compare many-body theories describing fluctuation corrections to the mean-field theory in a weakly interacting Bose-condensed gas. Using a generalized random-phase approximation, we include both density fluctuations and fluctuations in…

Quantum Gases · Physics 2013-11-28 Shohei Watabe , Yoji Ohashi

In Bose supefluids, the single-particle Green's function can be directly related to the superfluid velocity-velocity correlation function in the hydrodynamic regime. An explicit expression for the single-particle spectral density was…

Quantum Gases · Physics 2015-05-30 Emiko Arahata , Tetsuro Nikuni , Allan Griffin

Dissipation is ubiquitous in nature and plays a crucial role in quantum systems such as causing decoherence of quantum states. Recently, much attention has been paid to an intriguing possibility of dissipation as an efficient tool for…

Quantum Gases · Physics 2017-12-29 Takafumi Tomita , Shuta Nakajima , Ippei Danshita , Yosuke Takasu , Yoshiro Takahashi

We extend our recent work on the two-fluid hydrodynamics of the condensate and non-condensate in a trapped Bose gas by including the dissipation associated with viscosity and thermal conduction. For purposes of illustration, we consider the…

Statistical Mechanics · Physics 2009-10-31 T. Nikuni , A. Griffin , E. Zaremba

We report on the single-atom-resolved measurement of the distribution of momenta $\hbar k$ in a weakly interacting Bose gas after a 330 ms time-of-flight. We investigate it for various temperatures and clearly separate two contributions to…

Quantum Gases · Physics 2016-12-07 R. Chang , Q. Bouton , H. Cayla , C. Qu , A. Aspect , C. I. Westbrook , D. Clément

We study the Mott transition of a mixed Bose-Fermi system of ultracold atoms in an optical lattice, where the number of (spinless) fermions and bosons adds up to one atom per lattice, n_F+n_B=1. For weak interactions, a Fermi surface…

Quantum Gases · Physics 2013-05-30 Ehud Altman , Eugene Demler , Achim Rosch

We discuss in detail the experimental investigation of thermally induced fluctuations of the relative phase between two weakly coupled Bose-Einstein condensates. In analogy to superconducting Josephson junctions, the weak coupling…

Other Condensed Matter · Physics 2007-05-23 R. Gati , J. Esteve , B. Hemmerling , T. B. Ottenstein , J. Appmeier , A. Weller , M. K. Oberthaler

The Bose gas in an external potential is studied by means of the local density approximation. An analytical result is derived for the dependence of the critical temperature of Bose-Einstein condensation on the mutual interaction in a…

Condensed Matter · Physics 2009-10-28 Hualin Shi , Wei-Mou Zheng

We investigate the possibilities of distinguishing the mean-field and fluctuation effects on the critical temperature of a trapped Bose gas with repulsive interatomic interactions. Since in a direct measurement of the critical temperature…

Statistical Mechanics · Physics 2014-10-13 M. Houbiers , H. T. C. Stoof , E. A. Cornell

We study thermal properties of a trapped Bose-Bose mixture in a dilute regime using quantum Monte Carlo methods. Our main aim is to investigate the dependence of the superfluid density and the condensate fraction on temperature, for the…

Quantum Gases · Physics 2021-01-04 K. Dželalija , V. Cikojević , J. Boronat , L. Vranješ Markić

We derive the finite temperature oscillation modes of a harmonically confined Bose-Einstein condensed gas undergoing rigid body rotation supported by a vortex lattice in the condensate. The hydrodynamic modes separate into two classes…

Soft Condensed Matter · Physics 2009-11-10 Armen Sedrakian , Ira Wasserman

The formulation for zero mode of a Bose-Einstein condensate beyond the Bogoliubov approximation at zero temperature [Y.Nakamura et al., Phys. Rev. A 89, 013613 (2014)] is extended to finite temperature. Both thermal and quantum fluctuations…

Quantum Gases · Physics 2017-03-08 Y. Nakamura , T. Kawaguchi , Y. Torii , Y. Yamanaka

Bose condensation is usually a low temperature phenomenon due to a low particle number density. When the number density is kept large compared to the inverse Compton volume, Bose condensation can occur at a temperature much higher than the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Hidenori Sonoda

We develop a computationally tractable method for calculating correlation functions of the finite temperature trapped Bose gas that includes the effects of s-wave interactions. Our approach uses a classical field method to model the low…

Other Condensed Matter · Physics 2008-09-11 A. Bezett , E. Toth , P. B. Blakie

We discuss the mean-field theories obtained from the leading order in a large-$N$ approximation for one- and two- component dilute Bose gases. For a one-component Bose gas this approximation has the following properties: the Bose-Einstein…

Quantum Gases · Physics 2012-09-05 Chih-Chun Chien , Fred Cooper , Eddy Timmermans

We calculate the single-particle spectral functions and quasi-particle dispersions for a Bose-Fermi mixture when the boson-fermion attraction is sufficiently strong to suppress completely the condensation of bosons at zero temperature.…

Quantum Gases · Physics 2015-06-16 Elisa Fratini , Pierbiagio Pieri