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We investigate the coherence properties of an atomic beam evaporatively cooled in a magnetic guide, assuming thermal equilibrium in the quantum degenerate regime. The gas experiences two-dimensional, transverse Bose-Einstein condensation…

Statistical Mechanics · Physics 2015-06-24 Yvan Castin , Ralph Dum , Emmanuel Mandonnet , Anna Minguzzi , Iacopo Carusotto

Using a specially tuned mean-field Bose gas as a reference system, we establish a positive lower bound on the condensate density for continuous Bose systems with superstable two-body interactions and a finite gap in the one-particle…

Mathematical Physics · Physics 2009-11-07 J. Lauwers , A. Verbeure , V. A. Zagrebnov

The Hanbury Brown-Twiss experiment has proved to be an effective means of measuring two-point correlation function of identical particles. We analyze experimental observation of stripes formation of a phase fluctuating Bose-Einstein…

Soft Condensed Matter · Physics 2016-08-31 Tarun Kanti Ghosh

The Hohenberg-Martin dilemma of conserving versus gapless theories for systems with Bose-Einstein condensate is considered. This dilemma states that, generally, a theory characterizing a system with broken global gauge symmetry, which is…

Quantum Gases · Physics 2021-06-01 V. I. Yukalov , E. P. Yukalova

We theoretically propose a finite-size quasi-one-dimensional Bose-Einstein condensate with coherent source and drain placed at its two ends, which can in principle sustain a stationary sonic black hole with a single event horizon. Our…

Quantum Gases · Physics 2022-12-01 Caio C. Holanda Ribeiro , Sang-Shin Baak , Uwe R. Fischer

We experimentally study the energy-temperature relationship of a harmonically trapped Bose-Einstein condensate by transferring a known quantity of energy to the condensate and measuring the resulting temperature change. We consider two…

Quantum Gases · Physics 2022-02-09 S. K. Ruddell , D. H. White , A. Ullah , D. Baillie , M. D. Hoogerland

We study the Bose-Einstein condensates of trapped Bose gases in the Gross-Pitaevskii regime. We show that the ground state energy and ground states of the many-body quantum system are correctly described by the Gross-Pitaevskii equation in…

Mathematical Physics · Physics 2022-11-16 Phan Thành Nam , Marcin Napiórkowski , Julien Ricaud , Arnaud Triay

We encode the many-body wavefunction of a Bose-Einstein condensate (BEC) in the $N$-particle sector of an extended catalytic state. This catalytic state is a coherent state for the condensate mode and an arbitrary state for the modes…

Quantum Gases · Physics 2016-03-23 Zhang Jiang , Carlton M. Caves

After a brief historical introduction to Bose-Einstein condensation and Fermi degeneracy, we discuss theoretical results we have recentely obtained for trapped degenerate quantum gases by means of a thermal field theory approach. In…

Statistical Mechanics · Physics 2007-05-23 Luca Salasnich

We derive general approximate formulas that provide with remarkable accuracy the ground-state properties of any mean-field scalar Bose-Einstein condensate with short-range repulsive interatomic interactions, confined in arbitrary…

Other Condensed Matter · Physics 2016-08-14 A. Muñoz Mateo , V. Delgado

We outline a practical scheme for measuring the thermodynamic properties of a Bose-Einstein condensate as a function of internal energy. We propose using Bragg scattering and controlled trap manipulations to impart a precise amount of…

Other Condensed Matter · Physics 2009-11-13 P. B. Blakie , E. Toth , M. J. Davis

Path-Integral-Monte-Carlo simulation has been used to calculate the properties of a two-dimensional (2D) interacting Bose system. The bosons interact with hard-core potentials and are confined to a harmonic trap. Results for the density…

Statistical Mechanics · Physics 2007-05-23 Stefan Heinrichs , William J. Mullin

Motivated by the recent experiment [R. Lopes et. al., Phys. Rev. Lett. 119, 190404 (2017)] with a homogeneous Bose gas, we investigate a homogeneous dilute Bose gas to calculate the quantum depletion density. By means of the…

Quantum Gases · Physics 2022-06-22 Nguyen Van Thu , Jonas Berx

We demonstrate that the confinement of half-quantized vortices (HQVs) in coherently coupled Bose-Einstein condensates (BECs) simulates certain aspects of the confinement in $SU(2)$ quantum chromodynamics (QCD) in 2+1 space-time dimensions.…

Quantum Gases · Physics 2018-02-14 Minoru Eto , Muneto Nitta

We discuss some subtleties regarding the depletion of the condensate in homogeneous two and three-dimensional Bose at zero temperature. We find agreement with the results of Popov theory. Other results in the paper cond-mat/0202085 are not…

Condensed Matter · Physics 2007-05-23 U. Al Khawaja , J. O. Andersen , N. P. Proukakis , H. T. C. Stoof

We present a detailed study of the spectrum and dispersion of Bogoliubov quasiparticles in two coupled elongated Bose-Einstein condensates. We develop an analytically solvable model that approximates two infinite homogeneous condensates and…

Quantum Gases · Physics 2020-10-16 M. R. Momme , O. O. Prikhodko , Y. M. Bidasyuk

Ultra-cold atoms in optical lattices realize simple, fundamental models in condensed matter physics. Our 87Rb Bose-Einstein condensate is confined in a harmonic trapping potential to which we add an optical lattice potential. Here we…

Quantum Gases · Physics 2010-09-15 K. Jimenez-Garcia , R. L. Compton , Y. -J. Lin , W. D. Phillips , J. V. Porto , I. B. Spielman

We construct a fully self-consistent non-equilibrium theory for the dynamics of two interacting finite-temperature atomic Bose-Einstein condensates. The condensates are described by dissipative Gross-Pitaevskii equations, coupled to quantum…

Quantum Gases · Physics 2015-01-15 M. J. Edmonds , K. L. Lee , N. P. Proukakis

We construct a many-body Gaussian variational approach for the two-dimensional trapped Bose gas in the condensate phase. Interaction between particles is modelized by a generalized pseudo-potential of zero range that allows recovering…

Other Condensed Matter · Physics 2009-11-10 Ludovic Pricoupenko

We investigate the equilibrium phase-coherence properties of Bose-condensed particle systems, focusing on their shape dependence and finite-size scaling (FSS). We consider three-dimensional (3D) homogeneous systems confined to anisotropic L…

Quantum Gases · Physics 2016-11-15 Giacomo Ceccarelli , Francesco Delfino , Michele Mesiti , Ettore Vicari
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