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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 study the Drude weight $D(T)$ at finite temperatures $T$ of an integrable bosonic model where the particles interact via nearest-neighbour coupling on a chain. At low temperatures, $D(T)$ is shown to be universal in the sense that this…

Statistical Mechanics · Physics 2009-11-11 Michael Bortz

Bose-Einstein condensation is unique among phase transitions between different states of matter in the sense that it occurs even in the absence of interactions between particles. In Einstein's textbook picture of an ideal gas, purely…

Multistep Bose-Einstein condensation of an ideal Bose gas in anisotropic harmonic atom traps is studied. In the presence of strong anisotropy realized by the different trap frequency in each direction, finite size effect dictates a series…

Quantum Physics · Physics 2008-11-26 K. Shiokawa

In quantum physics, Efimov trimers are bound states of three particles that fall apart like Borromean rings when one of them is removed. Initially predicted in nuclear physics, these striking bosonic states are hard to observe, but the…

Quantum Gases · Physics 2014-05-06 Swann Piatecki , Werner Krauth

An effective field theory for the three-body system with large scattering length a is applied to three-body recombination into deep bound states in a Bose gas. The recombination constant \alpha is calculated to first order in the…

Condensed Matter · Physics 2009-11-07 Eric Braaten , H. -W. Hammer

We study the structure of a Bose-condensed gas after quenching interactions to unitarity. Using the method of cumulants, we decompose the evolving gas in terms of clusters. Within the quantum depletion we observe the emergence of two-body…

Quantum Gases · Physics 2018-11-07 V. E. Colussi , S. Musolino , S. J. J. M. F. Kokkelmans

Ultracold dipolar molecules hold great promise for the creation of novel quantum states of matter, but the realization of long-lived molecular bulk samples with strong dipole-dipole interactions has remained elusive. Here, we realize a…

We consider interacting one-dimensional bosons in the universal low-energy regime. The interactions consist of a combination of attractive and repulsive parts that can stabilize quantum gases, droplets and liquids. In particular, we study…

Quantum Gases · Physics 2021-03-31 Ivan Morera , Bruno Juliá-Díaz , Manuel Valiente

We derive the asymptotic expansions of the wave function of three particles having equal mass with finite-range interactions and infinite or zero two-dimensional scattering length colliding at zero energy and zero orbital angular momentum,…

Quantum Gases · Physics 2024-04-30 Junjie Liang , Shina Tan

We apply the time-dependent variational principle of Balian-V\'en\'eroni to a system of self-interacting trapped bosons at finite temperature. The method leads to a set of coupled non-linear time dependent equations for the condensate…

Quantum Gases · Physics 2011-02-18 A. Boudjemaa , M. Benarous

We study equilibrium properties of Bose-Condensed gases in a one-dimensional (1D) optical lattice at finite temperatures. We assume that an additional harmonic confinement is highly anisotropic, in which the confinement in the radial…

Other Condensed Matter · Physics 2009-11-11 E. Arahata , T. Nikuni

Under certain circumstances, three or more interacting particles may form bound states. While the general few-body problem is not analytically solvable, the so-called Efimov trimers appear for a system of three particles with resonant…

Quantum Gases · Physics 2015-05-14 Scott E. Pollack , Daniel Dries , Randall G. Hulet

We study the time evolution of weakly interacting Bose gases on a three-dimensional torus of arbitrary volume. The coupling constant is supposed to be inversely proportional to the density, which is considered to be large and independent of…

Mathematical Physics · Physics 2025-12-12 Daniele Ferretti , Kalle Koskinen

We study a Bose-condensed gas at finite temperature, in which the particles of the condensate and of the thermal cloud are constrained to move in a plane under radial harmonic confinement and interact via strictly two-dimensional…

Soft Condensed Matter · Physics 2009-11-10 K. K. Rajagopal , P. Vignolo , M. P. Tosi

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 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 discuss certain specific features of the calculation of the critical temperature of a dilute repulsive Bose gas. Interactions modify the critical temperature in two different ways. First, for gases in traps, temperature shifts are…

We present a pedagogical introduction to Bose-Einstein condensation in traps with spherical symmetry, namely the spherical box and the thick shell, sometimes called bubble trap. In order to obtain the critical temperature for Bose-Einstein…

Three interacting particles form a system which is well known for its complex physical behavior. A landmark theoretical result in few-body quantum physics is Efimov's prediction of a universal set of weakly bound trimer states appearing for…

Other Condensed Matter · Physics 2009-11-11 H. -C. Naegerl , T. Kraemer , M. Mark , P. Waldburger , J. G. Danzl , B. Engeser , A. D. Lange , K. Pilch , A. Jaakkola , C. Chin , R. Grimm
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