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We study the beyond-mean-field corrections to the energy of a dipolar Bose gas confined to two dimensions by a box potential with dipoles oriented in plane. At a critical strength of the dipolar interaction the system becomes unstable on…

Quantum Gases · Physics 2021-08-26 Pawel Zin , Maciej Pylak , Tomasz Wasak , Krzysztof Jachymski , Zbigniew Idziaszek

We consider a three-dimensional weakly interacting Bose gas in the fluctuation region (and its vicinity) of the normal-superfluid phase transition point. We establish relations between basic thermodynamic functions: density, $n(T,\mu)$,…

Superconductivity · Physics 2007-05-23 Nikolay Prokof'ev , Oliver Ruebenacker , Boris Svistunov

We consider a system of $N$ bosons interacting in a three-dimensional box endowed with periodic boundary condition that is strongly confined in one direction such that the normalized thickness of the box $d\ll1$. We assume particles to…

Mathematical Physics · Physics 2025-07-01 Xuwen Chen , Jiahao Wu , Zhifei Zhang

We investigate the properties of a homogeneous dipolar Bose gas in a weak three-dimensional (3D) isotropic speckle disorder at finite temperature. By using the Bogoliubov theory (beyond the mean field), we calculate the condensate and the…

Disordered Systems and Neural Networks · Physics 2015-05-22 Abdelaali Boudjemaa

Multiconfigurational Hartree-Fock theory is presented and implemented in an investigation of the fragmentation of a Bose-Einstein condensate made of identical bosonic atoms in a double well potential at zero temperature. The approach builds…

Other Condensed Matter · Physics 2007-10-16 D. Masiello , S. B. McKagan , W. P. Reinhardt

We study the dynamics of a two-dimensional Bose gas after an instantaneous quench of an initially ultracold thermal atomic gas across the Berezinskii-Kosterlitz-Thouless phase transition, confirming via stochastic simulations that the…

Quantum Gases · Physics 2019-10-04 Paolo Comaron , Fabrizio Larcher , Franco Dalfovo , Nikolaos P. Proukakis

We explore the topological transformation of quasi-2D Bose-Einstein condensates of dilute atomic gases, and changes in the low-energy quasiparticles associated with the geometry of the confining potential. In particular, we show the density…

Quantum Gases · Physics 2017-11-02 Arko Roy , D. Angom

We show that the chemical potential of a one-dimensional (1D) interacting Bose gas exhibits a non-monotonic temperature dependence which is peculiar of superfluids. The effect is a direct consequence of the phononic nature of the excitation…

Quantum Gases · Physics 2017-07-12 Giulia De Rosi , Grigori E. Astrakharchik , Sandro Stringari

We study the interplay of quantum statistics, strong interactions and finite temperatures in the two-component (spinor) Bose gas with repulsive delta-function interactions in one dimension. Using the Thermodynamic Bethe Ansatz, we obtain…

Quantum Gases · Physics 2013-05-29 J. -S. Caux , A. Klauser , J. van den Brink

We present experimental results on a Bose gas in a quasi-2D geometry near the Berezinskii, Kosterlitz and Thouless (BKT) transition temperature. By measuring the density profile, \textit{in situ} and after time of flight, and the coherence…

Other Condensed Matter · Physics 2015-05-13 P. Cladé , C. Ryu , A. Ramanathan , K. Helmerson , W. D. Phillips

We study the ground state and the low-lying excitations of a trapped Bose gas in an isotropic harmonic potential for very small ($\sim 3$) to very large ($\sim 10^7$) particle numbers. We use the correlated two-body basis functions and the…

Quantum Gases · Physics 2017-05-24 M. L. Lekala , B. Chakrabarti , T. K. Das , G. J. Rampho , S. A. Sofianos , R. M. Adam , S. K. Haldar

We present a method of finding approximate analytical solutions for the spectra and eigenvectors of collective modes in a two-dimensional system of interacting bosons subjected to a linear external potential or the potential of a special…

Soft Condensed Matter · Physics 2009-10-31 D. V. Fil , S. I. Shevchenko

We investigate beyond-mean-field corrections to the energy of an elongated homogeneous Bose gas strongly confined in two directions, with dipoles aligned along the long axis of the system. When the dipolar interaction reaches its critical…

Quantum Gases · Physics 2024-10-29 Maciej Pylak , Mariusz Gajda , Paweł Zin

We consider a homogeneous 1D Bose gas with contact interactions and large attractive coupling constant. This system can be realized in tight waveguides by exploiting a confinement induced resonance of the effective 1D scattering amplitude.…

Soft Condensed Matter · Physics 2009-11-10 G. E. Astrakharchik , J. Boronat , J. Casulleras , S. Giorgini

We study the effects of many-body correlations in trapped ultracold atomic Bose gases. We calculate the ground state of the gas using a ground-state auxiliary-field quantum Monte Carlo (QMC) method [Phys. Rev. E 70, 056702 (2004)]. We…

Other Condensed Matter · Physics 2007-05-23 Wirawan Purwanto , Shiwei Zhang

Various widely-used mean-field type theories for a dilute Bose gas are critically examined in the light of the recent discovery of Bose-Einstein condensation of atomic gases in a confined geometry. By numerically solving the mean-field…

Condensed Matter · Physics 2009-10-30 Tomoya Isoshima , Kazushige Machida

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 the phase diagram of the one-dimensional boson gas trapped inside an optical lattice with contact and dipolar interaction taking into account next-nearest terms for both tunneling and interaction. Using the density matrix…

Quantum Gases · Physics 2018-06-06 Krzysztof Biedroń , Mateusz Łącki , Jakub Zakrzewski

Bose-Einstein condensation has been experimentally found to take place in finite trapped systems when one of the confining frequencies is increased until the gas becomes effectively two-dimensional (2D). We confirm the plausibility of this…

Statistical Mechanics · Physics 2009-11-11 Juan Pablo Fernández , William J. Mullin

We experimentally study the effect of disorder on trapped quasi two-dimensional (2D) 87Rb clouds in the vicinity of the Berezinskii-Kosterlitz-Thouless (BKT) phase transition. The disorder correlation length is of the order of the Bose gas…

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