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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

We propose a new form of the inversion method in terms of a selfenergy expansion to access the phase diagram of the Bose-Einstein transition. The dependence of the critical temperature on the interaction parameter is calculated. This is…

Statistical Mechanics · Physics 2009-11-13 K. Morawetz , M. Maennel , M. Schreiber

We obtain a phase diagram for a trapped two-dimensional ultra-cold Bose gas. We find a critical temperature above which the free energy of a state with a pair of vortices of opposite circulation is lower than the one for a vortex-free…

Other Condensed Matter · Physics 2009-11-10 T. P. Simula , M. D. Lee , D. A. W. Hutchinson

We study the Bose-Einstein condensation phase transition in a weakly interacting gas through a perturbative analysis of finite systems. In both the grand canonical and the canonical ensembles, perturbation theory suffers from infrared…

Statistical Mechanics · Physics 2009-11-07 Erich J. Mueller , Gordon Baym , Markus Holzmann

There is a wide-spread belief in the literature on Bose-Einstein condensation of interacting atoms that all variants of mean-field theory incorrectly describe the condensation phase transition, exhibiting, instead of the necessary…

Quantum Gases · Physics 2015-06-19 V. I. Yukalov , E. P. Yukalova

The dynamical behavior of Bose-Einstein condensation (BEC) in a gas with attractive interactions is striking. Quantum theory predicts that BEC of a spatially homogeneous gas with attractive interactions is precluded by a conventional phase…

Condensed Matter · Physics 2009-10-31 Jordan M. Gerton , Dmitry Strekalov , Ionut Prodan , Randall G. Hulet

We discuss the occurrence of Bose-Einstein condensation in systems of noninteracting charged particles in three in one dimensions and in presence of an external magnetic field. In the one dimensional, as well as in the magnetic field cases,…

Condensed Matter · Physics 2007-05-23 H. Perez , L. Villegas

Spin-orbit coupled bosons can exhibit rich equilibrium phases at low temperature and in the presence of particle-particle interactions. In the case with a 1D synthetic spin-orbit interaction, it has been observed that the ground state of a…

Quantum Gases · Physics 2016-06-22 Jeffrey Ting Fung Poon , Xiong-Jun Liu

We study theoretically Bose-Einstein condensates with polarized dipolar interactions in anisotropic traps. We map the parameter space by varying the trap frequencies and dipolar interaction strengths and find an irregular-shaped region of…

Quantum Gases · Physics 2012-11-28 A. D. Martin , P. B. Blakie

We perform high-precision measurements of the condensation temperature of a harmonically-trapped atomic Bose gas with widely-tuneable interactions. For weak interactions we observe a negative shift of the critical temperature in excellent…

Quantum Gases · Physics 2011-06-29 Robert P. Smith , Robert L. D. Campbell , Naaman Tammuz , Zoran Hadzibabic

We find that inelastic collisional processes in Bose-Einstein condensates induce local variations of the mean-field interparticle interaction and are accompanied by the creation/annihilation of elementary excitation. The physical picture is…

Soft Condensed Matter · Physics 2009-10-31 D. Guery-Odelin , G. V. Shlyapnikov

We study a two-species Bose-Einstein condensates confined in quasi-two-dimensional (quasi-2D) optical lattices at finite temperatures, employing the Hartree-Fock-Bogoliubov theory with the Popov approximation. We examine the role of thermal…

Quantum Gases · Physics 2020-07-22 K. Suthar , D. Angom

Bose-condensed gases are considered with an effective interaction strength varying in the whole range of the values between zero and infinity. The consideration is based on the usage of a representative statistical ensemble for Bose systems…

Statistical Mechanics · Physics 2009-11-13 V. I. Yukalov , E. P. Yukalova

We provide an exact solution for the interplay between Bose-Einstein condensation and the Dicke-Hepp-Lieb self-organization transition of an ideal Bose gas trapped inside a single-mode optical cavity and subject to a transverse laser drive.…

Quantum Gases · Physics 2013-10-10 Francesco Piazza , Philipp Strack , Wilhelm Zwerger

We numerically calculate the density profile and excitation spectrum of a two-species Bose-Einstein condensate for the parameters of recent experiments. We find that the ground state density profile of this system becomes unstable in…

Condensed Matter · Physics 2009-10-31 D. Gordon , C. M. Savage

We apply transition state theory to coupled Gaussian wave packets and calculate thermal decay rates of Bose-Einstein condensates with additional long-range interaction. The ground state of such a condensate is metastable if the contact…

Quantum Gases · Physics 2012-03-29 Andrej Junginger , Markus Dorwarth , Jörg Main , Günter Wunner

The critical BEC temperature $T_{c}$ of a non interacting boson gas in a layered structure like those of cuprate superconductors is shown to have a minimum $T_{c,m}$, at a characteristic separation between planes $a_{m}$. It is shown that…

Quantum Gases · Physics 2015-05-14 P. Salas , M. Fortes , M. de Llano , F. J. Sevilla , M. A. Solis

We study the weakly-interacting Bose gas in both two and three dimensions using a variational approach. In particular we construct the thermodynamic potential of the gas to within ladder approximation and find by minimization an accurate…

Condensed Matter · Physics 2007-05-23 M. Bijlsma , H. T. C. Stoof

The dynamics of a coupled Bose-Einstein condensate involving trapped atoms in two quantum states is studied using the time-dependent Gross-Pitaevskii equation including an interaction which can transform atoms from one state to the other.…

Soft Condensed Matter · Physics 2009-11-07 Sadhan K. Adhikari

A Bose-Einstein condensate of atoms with attractive interactions exhibits growth and collapse cycles, when it is fed by a thermal cloud. Recently this phenomenon has been directly observed in a trapped Li-7 gas. We offer a quantitative…

Soft Condensed Matter · Physics 2007-05-23 Kerson Huang