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We generalize the Beliaev-Popov diagrammatic technique for the problem of interacting dilute Bose gas with weak disorder. Averaging over disorder is implemented by the replica method. Low energy asymptotic form of the Green function…

Disordered Systems and Neural Networks · Physics 2009-11-07 A. V. Lopatin , V. M. Vinokur

We consider the finite size effect on thermo-magnetic properties of charged Bose gases confined in a quasi two-dimentsional potential. A modified semiclassical approach is used, taking into account the finite size correction to guarantee an…

Quantum Gases · Physics 2017-11-27 A. H. Abbas , W. M. Seif , Th. elsherbini , Ahmed S. Hassan

We consider a Bose-Einstein condensate subject to a rotating harmonic potential, in connection with recent experiments leading to the formation of vortices. We use the classical hydrodynamic approximation to the non-linear Schr\"odinger…

Soft Condensed Matter · Physics 2016-08-31 Subhasis Sinha , Yvan Castin

The Bogoliubov procedure in quantum field theory is used to describe a relativistic almost ideal Bose gas at zero temperature. Special attention is given to the study of a vortex. The radius of the vortex in the field description is…

General Relativity and Quantum Cosmology · Physics 2008-11-26 B. Boisseau

Previous functional integral methods for translationally invariant systems have been extended to the case of a confining trap potential. Essentially all finite-temperature properties of the repulsive Bose gas in a paraboloidal trap can be…

Statistical Mechanics · Physics 2007-05-23 N. M. Bogoliubov , R. K. Bullough , V. S. Kapitonov , C. Malyshev , J. Timonen

The dissipative dynamics of a vortex in a finite temperature trapped Bose-Einstein condensate are shown to be governed by a {\em diffusive instability}. In the weakly interacting regime we find a cross-over from instability to metastability…

Statistical Mechanics · Physics 2007-05-23 A. S. Bradley , C. W. Gardiner

We establish the general equations of motion for the modes of a vortex lattice in a rapidly rotating Bose-Einstein condensate in three dimensions, taking into account the elastic energy of the lattice and the vortex line bending energy. As…

Soft Condensed Matter · Physics 2009-11-10 S. Andrew Gifford , Gordon Baym

We derive an exact recursion formula for the calculation of thermodynamic functions of finite systems obeying Bose-Einstein statistics. The formula is applicable for canonical systems where the particles can be treated as noninteracting in…

Statistical Mechanics · Physics 2009-10-31 Peter Borrmann , Jens Harting , Oliver Muelken , Eberhard R. Hilf

Disorder effects in the thermodynamic properties of a ideal Bose gas confined in a semi-infinite multi-layer structure %described by $M$ permeable barriers within a box of thickness $L$ and infinite lateral extent, are analyzed. The layers…

Quantum Gases · Physics 2016-07-20 V. E. Barragán , M. Fortes , M. A. Solís , P. Salas

We use a semiclassical two-fluid model to study the momentum distribution of a Bose-condensed gas with repulsive interactions inside a harmonic trap at finite temperature, with specific focus on atomic hydrogen. We give particular attention…

Statistical Mechanics · Physics 2009-10-31 Anna Minguzzi , Patrizia Vignolo , Mario P. Tosi

Detecting vortices in neutral superfluids represents an outstanding experimental challenge. Using stochastic classical-field methods, we theoretically show that a quantum impurity repulsively coupled to a weakly-interacting Bose gas at…

Quantum Gases · Physics 2024-12-16 Paolo Comaron , Nathan Goldman , Atac Imamoglu , Ivan Amelio

In this work we investigate the unique properties of ultracold Bose gases in one and two dimensions. In two dimensions, we present simulations of the Berezinskii-Kosterlitz-Thouless (BKT) phase transition using the projected…

Quantum Gases · Physics 2013-02-05 Christopher James Foster

We discuss the interaction of a mobile quantum impurity with a Bose-Einstein condensate of atoms at finite temperature. To describe the resulting Bose polaron formation we extend the dynamical variational approach of [Phys.Rev.Lett. 117,…

Quantum Gases · Physics 2020-07-01 David Dzsotjan , Richard Schmidt , Michael Fleischhauer

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

Correlation functions related to the dynamic density response of the one-dimensional Bose gas in the model of Lieb and Liniger are calculated. An exact Bose-Fermi mapping is used to work in a fermionic representation with a pseudopotential…

Statistical Mechanics · Physics 2007-05-23 Alexander Yu. Cherny , Joachim Brand

A quantum field-theoretical model, which describes spatially non-homogeneous repulsive Bose gas in an external harmonic potential is considered. Two-point thermal correlation functions of the Bose gas are calculated in the framework of the…

Mathematical Physics · Physics 2007-05-23 C. Malyshev , N. M. Bogoliubov

The collective modes of a quantum liquid shape and impact its properties profoundly, including its emergent phenomena such as superfluidity. Here we present how a two-dimensional Bose gas responds to a moving lattice potential. In…

Quantum Gases · Physics 2021-05-19 Vijay Pal Singh , Ludwig Mathey

We examine the superfluid properties of a 1D Bose gas in a ring trap based on the model of Lieb and Liniger. While the 1D Bose gas has nonclassical rotational inertia and exhibits quantization of velocities, the metastability of currents…

Quantum Gases · Physics 2009-10-10 Alexander Yu. Cherny , Jean-Sebastien Caux , Joachim Brand

By making use of the double-time Green function technique, we study thermodynamics of a deformed Bose gas, which describes well properties of density intensive photonic gas and radiation fields of the early universe. General form of…

Condensed Matter · Physics 2007-05-23 Zhe Chang , Shao-Xia Chen

A quantum field-theoretical model which describes spatially non-homogeneous one-dimensional non-relativistic repulsive Bose gas in an external harmonic potential is considered. We calculate the two-point thermal correlation function of the…

Statistical Mechanics · Physics 2018-09-19 N. M. Bogoliubov , C. Malyshev
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