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The Bose-Einstein condensation of atoms can be conveniently formulated as a problem in thermal quantum field theory. There are many properties of the equilibrium system and its collective excitations that can be studied experimentally. The…

High Energy Physics - Phenomenology · Physics 2007-05-23 Eric Braaten

The temperature dependence of the frequencies of a Bose-Einstein condensate obtained in experiment has not been fully understood theoretically. In this paper we present a simplified version of a two-gas model. A numerically-found ground…

Condensed Matter · Physics 2009-10-31 R. Bach , M. Brewczyk , K. Rzazewski

The central problem of this chapter is temporal coherence of a three-dimensional spatially homogeneous Bose-condensed gas, initially prepared at finite temperature and then evolving as an isolated interacting system. A first theoretical…

Quantum Gases · Physics 2012-03-21 Yvan Castin , Alice Sinatra

The properties of phase transitions and the types of order present in the low-temperature states of matter are fundamentally dependent on the dimensionality of physical systems. Generally, highly ordered states are more robust in higher…

Quantum Gases · Physics 2012-02-15 Zoran Hadzibabic , Jean Dalibard

Most of the literature on quantum vortices predicting various states of vortex matter in three dimensions at finite temperatures in quantum fluids is based on an assumption of an extended and homogeneous system. It is well known not to be…

Statistical Mechanics · Physics 2008-04-04 S. Kragset , E. Babaev , A. Sudbo

The moment method is applied to the quantum theory for a trapped dilute gas, obtaining equations for the evolution of the cloud. These equations proof the existence of undamped oscillations in a two-dimensional harmonic trap with radial…

Condensed Matter · Physics 2007-05-23 Juan Jose Garcia-Ripoll

We study many-body quantum coherence and interaction blockade in two Josephson-linked Bose-Einstein condensates. We introduce universal operators for characterizing many-body coherence without limitations on the system symmetry and total…

Quantum Physics · Physics 2008-03-18 Chaohong Lee , Libin Fu , Yuri S. Kivshar

Two component Bose gas in a double well potential with repulsive interactions may undergo a phase separation transition if the inter-species interactions outweigh the intra-species ones. We analyze the transition in the strong interaction…

Quantum Gases · Physics 2011-09-16 Pawel Zin , Bartlomiej Oles , Krzysztof Sacha

We study, by means of a variational method, the stability of a condensate in a magnetically trapped atomic Bose gas with a negative scattering length and find that the condensate is unstable in general. However, for temperatures…

Condensed Matter · Physics 2009-10-28 H. T. C. Stoof

When the temperature of a trapped Bose gas is below the Bose-Einstein transition temperature and above absolute zero, the gas is composed of two distinct components: the Bose-Einstein condensate and the cloud of thermal excitations. The…

Analysis of PDEs · Mathematics 2021-07-09 Gheorghe Craciun , Minh-Binh Tran

A method to determine the density and temperature of a system is proposed based on quantum fluctuations typical of Bosons in the limit where the reached temperature T is close to the critical temperature $T_c$ for a Bose condensate at a…

Nuclear Theory · Physics 2015-05-28 Hua Zheng , Aldo Bonasera

The relative importance of density and phase fluctuations in ultracold one dimensional atomic Bose gases is investigated. By defining appropriate characteristic temperatures for their respective onset, a broad experimental regime is found,…

Other Condensed Matter · Physics 2009-11-11 N. P. Proukakis

We study zero-temperature quantum fluctuations in harmonically trapped one-dimensional interacting Bose gases, using the self-consistent multiconfigurational time-dependent Hartree method. We define $phase$ $fluctuations$ from the full…

Quantum Gases · Physics 2019-04-11 Oleksandr V. Marchukov , Uwe R. Fischer

We investigate, how finite temperature influences quantum coherence in multipartite open systems by analyzing a tripartite spin boson model subjected to non-Markovian dephasing. Two distinct environmental configurations are considered viz.…

Quantum Physics · Physics 2026-03-12 Pranav Perumalsamy , Abhijit Mandal , Sovik Roy , Md Manirul Ali

We investigate the relative phase coherence properties and the occurrence of demixing instabilities for two mutually interacting and time evolving Bose-Einstein condensates in traps. Our treatment naturally includes the additional…

Condensed Matter · Physics 2009-10-31 Alice Sinatra , Yvan Castin

A numerical experiment based on a particle number-conserving quantum field theory is performed for two initially independent Bose-Einstein condensates that are coherently coupled at two temperatures. The present model illustrates ab initio…

Quantum Gases · Physics 2024-08-31 Alexej Schelle

We simulate a trapped quasi-two-dimensional Bose gas using a classical field method. To interpret our results we identify the uniform Berezinskii-Kosterlitz-Thouless (BKT) temperature $T_{BKT}$ as where the system phase space density…

Other Condensed Matter · Physics 2011-08-31 R. N. Bisset , M. J. Davis , T. P. Simula , P. B. Blakie

We consider a Bose-Einstein bicondensate (BEC) of $^{87}Rb$, trapped in two different internal levels, in a situation where the density undergoes a symmetry breaking in momentum space. This occurs for a suitable number of condensed atoms…

Quantum Gases · Physics 2011-11-15 A. Montina , F. T. Arecchi

We improve on the Popov theory for partially Bose-Einstein condensed atomic gases by treating the phase fluctuations exactly. As a result, the theory becomes valid in arbitrary dimensions and is able to describe the low-temperature…

Condensed Matter · Physics 2009-11-07 J. O. Andersen , U. Al Khawaja , H. T. C Stoof

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…

Statistical Mechanics · Physics 2007-10-10 Tobias Donner , Stephan Ritter , Thomas Bourdel , Anton Öttl , Michael Köhl , Tilman Esslinger
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