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We describe interacting bosons at low temperature in spatially correlated random potentials. By a Bogoliubov expansion around the deformed mean-field condensate, the fundamental Hamiltonian for elementary excitations is derived, achieving…

Disordered Systems and Neural Networks · Physics 2011-05-13 Christopher Gaul , Cord A. Müller

We investigate properties of two-dimensional bilayered dipolar Bose condensed gases in a weak random potential with Gaussian correlation at zero temperature. Here the dipoles are oriented perpendicularly to the layers and in…

Disordered Systems and Neural Networks · Physics 2020-09-01 Abdelaali Boudjemaa , Redaouia Keltoum

We investigate a Bose-Einstein condensate trapped in a 2D optical lattice in the presence of weak disorder within the framework of the Bogoliubov theory. In particular, we analyze the combined effects of disorder and an optical lattice on…

Quantum Gases · Physics 2015-05-14 Ying Hu , Zhaoxin Liang , Bambi Hu

We present a detailed numerical study of the dynamics of a disordered one-dimensional Bose-Einstein condensates in position and momentum space. We particularly focus on the region where non-linearity and disorder simultaneously effect the…

Mesoscale and Nanoscale Physics · Physics 2011-01-18 Chaitanya Joshi , Sankalpa Ghosh

We investigate the elastic scattering of Bose-Einstein condensates at shallow periodic and disorder potentials. We show that the collective scattering of the macroscopic quantum object couples to internal degrees of freedom of the…

Here we study properties of a homogeneous dipolar Bose-Einstein condensate in a weak anisotropic random potential with Lorentzian correlation at zero temperature. To this end we solve perturbatively the Gross-Pitaevskii equation to second…

Quantum Gases · Physics 2013-07-17 Branko Nikolic , Antun Balaz , Axel Pelster

The entanglement between spatial regions in an interacting Bose-Einstein condensate is investigated using a quantum field theoretic formalism. Regions that are small compared to the healing length are governed by a non-relativistic quantum…

Quantum Gases · Physics 2021-04-28 N. Sánchez-Kuntz , S. Floerchinger

We present a detailed study of the temperature dependence of the condensate and noncondensate density profiles of a Bose-condensed gas in a parabolic trap. These quantitites are calculated self-consistently using the Hartree-Fock-Bogoliubov…

Condensed Matter · Physics 2009-10-28 D. A. W. Hutchinson , E. Zaremba , A. Griffin

In this work we analyze a non--interacting one dimensional polymer Bose--Einstein condensate in an harmonic trap within the semiclassical approximation. We use an effective Hamiltonian coming from the polymer quantization that arises in…

General Relativity and Quantum Cosmology · Physics 2015-06-12 E. Castellanos , G. Chacon-Acosta

A Hartree-Fock mean-field theory of a weakly interacting Bose-gas in a quenched white noise disorder potential is presented. A direct continuous transition from the normal gas to a localized Bose-glass phase is found which has localized…

Disordered Systems and Neural Networks · Physics 2009-11-08 Robert Graham , Axel Pelster

We consider a time-dependent extension of a perturbative mean-field approach to the dirty boson problem by considering how switching on and off a weak disorder potential affects the stationary state of an initially equilibrated…

Quantum Gases · Physics 2021-01-20 Milan Radonjić , Axel Pelster

We optimize the classical field approximation of the version described in J. Phys. B 40, R1 (2007) for the oscillations of a Bose gas trapped in a harmonic potential at nonzero temperatures, as experimentally investigated by Jin et al.…

Quantum Gases · Physics 2010-03-31 Tomasz Karpiuk , Miroslaw Brewczyk , Mariusz Gajda , Kazimierz Rzazewski

The Bose-Einstein condensation of bound pairs made of equally and oppositely charged fermions in a magnetic field is investigated using a relativistic model. The Gaussian fluctuations have been taken into account in order to study the…

High Energy Physics - Phenomenology · Physics 2016-04-20 Bo Feng , Defu Hou , Hai-cang Ren , Ping-ping Wu

We study the dynamics of Bose-Einstein condensates flowing in optical lattices on the basis of quantum field theory. For such a system, a Bose-Einstein condensate shows a unstable behavior which is called the dynamical instability. The…

Other Condensed Matter · Physics 2009-11-13 K. Kobayashi , M. Mine , M. Okumura , Y. Yamanaka

We consider Bose-Einstein condensation of massive electrically charged scalars in a uniform background of charged fermions. We focus on the case when the scalar condensate screens the background charge, while the net charge of the system…

High Energy Physics - Theory · Physics 2008-11-26 Gregory Gabadadze , Rachel A. Rosen

We investigate the effects of phase noise and particle loss on the dynamics of a Bose-Einstein condensate in an optical lattice. Starting from the many-body master equation, we discuss the applicability of generalized mean-field…

Quantum Gases · Physics 2012-03-19 D. Witthaut , F. Trimborn , H. Hennig , G. Kordas , T. Geisel , S. Wimberger

We investigate the time evolution of the entanglement entropy of coupled single-mode Bose-Einstein condensates in a double well potential at $T=0$ temperature, by combining numerical results with analytical approximations. We find that the…

Quantum Gases · Physics 2022-04-18 Izabella Lovas , József Fortágh , Eugene Demler , Gergely Zaránd

We study the dynamics of a harmonically trapped quasi-one-dimensional Bose-Einstein condensate subjected to a moving disorder potential of finite extent. We show that, due to the inhomogeneity of the sample, only a percentage of the atoms…

Quantum Gases · Physics 2013-02-11 Ardavan Alamir , Pablo Capuzzi , Patrizia Vignolo

We numerically simulate an oscillating Bose-Einstein condensate in a disordered trap [Phys. Rev. A 82, 033603 (2010)] and the results are in good agreement with the experiment. It allows us to verify that total energy and particle number…

Quantum Gases · Physics 2018-12-19 Che-Hsiu Hsueh , Russell Ong , Jing-Fu Tseng , Makoto Tsubota , Wen-Chin Wu

We show that the free relativistic wave equation which describes the particle without or with rest mass has more than one part of energy spectrum. One part of energy spectrum is beginning with rest energy and it is not limited by above.…

Statistical Mechanics · Physics 2007-05-23 A. Borghardt , D. Karpenko
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