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We review some theories of non-equilibrium Bose-Einstein condensates in potentials, in particular of the Bose-Einstein condensate of polaritons. We discuss such condensates, which are steady-states established through a balance of gain and…

Mesoscale and Nanoscale Physics · Physics 2017-05-04 Paul R. Eastham , Bernd Rosenow

We investigate the propagation of ultraslow optical pulse in atomic Bose-Einstein condensate in a harmonic trap decorated with a dimple potential. The role of dimple potential on the group velocity and time delay is studied. Since we…

Quantum Gases · Physics 2023-07-19 Devrim Tarhan , Haydar Uncu

We study systematically the quantum corrections to a weakly interacting Bose-Einstein condensate with spin-orbit coupling. We show that quantum fluctuations, enhanced by the spin-orbit coupling, modify quantitatively the mean-field…

Quantum Gases · Physics 2019-08-28 Long Liang , Päivi Törmä

We study exactly soluble system of trapped bosonic particles interacting by a model harmonic forces. The model allows for detailed examination of the order parameter (condensate wave function) as well as concept of the off-diagonal and…

Soft Condensed Matter · Physics 2009-10-31 Mariusz Gajda , Magdalena A. Zaluska-Kotur , Jan Mostowski

We explored the dynamics of how a Bose-Einstein condensate collapses and subsequently explodes when the balance of forces governing the size and shape of the condensate is suddenly altered. A condensate's equilibrium size and shape is…

We develop the dilute Bose gas model with random potential in order to understand the Bose system in random media such as 4He in porous glass. Using the random potential taking account of the pore size dependence, we can compare…

Soft Condensed Matter · Physics 2009-11-07 Michikazu Kobayashi , Makoto Tsubota

We study Johnson-Nyquist noise in macroscopically inhomogeneous disordered metals and give a microscopic derivation of the correlation function of the scalar electric potentials in real space. Starting from the interacting Hamiltonian for…

Mesoscale and Nanoscale Physics · Physics 2011-09-08 M. Treiber , C. Texier , O. M. Yevtushenko , J. von Delft , I. V. Lerner

Quantum fluctuations in time-dependent, harmonically-trapped Bose-Einstein condensates are studied within Bogoliubov theory. An eigenmode expansion of the linear field operators permits the diagonalization of the Bogoliubov-de Gennes…

Other Condensed Matter · Physics 2009-03-04 Michael Uhlmann

One-particle reduced density matrix functional theory would potentially be the ideal approach for describing Bose-Einstein condensates. It namely replaces the macroscopically complex wavefunction by the simple one-particle reduced density…

Quantum Gases · Physics 2021-04-13 Julia Liebert , Christian Schilling

The effect of a weak three-dimensional (3d) isotropic laser speckle disorder on various thermodynamic properties of a dilute Bose gas is considered at zero temperature. First, we summarize the derivation of the autocorrelation function of…

Quantum Gases · Physics 2015-06-04 Bakhodir Abdullaev , Axel Pelster

We investigate systems of identical bosons with the focus on two-body correlations and attractive finite-range potentials. We use a hyperspherical adiabatic method and apply a Faddeev type of decomposition of the wave function. We discuss…

Condensed Matter · Physics 2009-11-10 O. Sørensen , D. V. Fedorov , A. S. Jensen

The dispersive interaction of a Bose-Einstein condensate with a single mode of a high-finesse optical cavity realizes the radiation pressure coupling Hamiltonian. In this system the role of the mechanical oscillator is played by a single…

Quantum Physics · Physics 2013-07-26 D. Nagy , G. Szirmai , P. Domokos

The extended Bose-Hubbard model subjected to a disordered potential is predicted to display a rich phase diagram. In the case of uniform random disorder one finds two insulating quantum phases -- the Mott-insulator and the Haldane insulator…

Quantum Gases · Physics 2015-06-12 X. Deng , R. Citro , E. Orignac , A. Minguzzi , L. Santos

A hydrodynamic description is used to study the normal modes of a vortex in a zero-temperature Bose-Einstein condensate. In the Thomas-Fermi (TF) limit, the circulating superfluid velocity far from the vortex core provides a small…

Condensed Matter · Physics 2009-10-31 Anatoly Svidzinsky , Alexander Fetter

We demonstrate how solutions to quantum few-fermion scattering problems can be the point-of-departure of a new treatment of a generalized many-body wave function. Our focus is on a particular ansatz for the ground state wave function of a…

Statistical Mechanics · Physics 2016-08-31 Shina Tan

We show that the expansion of an initially confined interacting 1D Bose-Einstein condensate can exhibit Anderson localization in a weak random potential with correlation length \sigma_R. For speckle potentials the Fourier transform of the…

Screening in plasma with Bose-Einstein condensate is studied. Finite temperature effects are taken into account. It is shown that, due to condensate effects, the potential has several unusual features. It contains two oscillating terms, one…

High Energy Physics - Theory · Physics 2012-09-18 Angela Lepidi

We investigate thermal relaxation of superfluid turbulence in a highly oblate Bose-Einstein condensate. We generate turbulent flow in the condensate by sweeping the center region of the condensate with a repulsive optical potential. The…

Quantum Gases · Physics 2015-01-13 Woo Jin Kwon , Geol Moon , Jae-yoon Choi , Sang Won Seo , Yong-il Shin

We show that, within mean-field theory, the density profile of a rapidly rotating harmonically trapped Bose-Einstein condensate is of the Thomas-Fermi form as long as the number of vortices is much larger than unity. Two forms of the…

Soft Condensed Matter · Physics 2009-11-10 Gentaro Watanabe , Gordon Baym , C. J. Pethick

We consider the propagation of a dark soliton in a quasi 1D Bose-Einstein condensate in presence of a random potential. This configuration involves nonlinear effects and disorder, and we argue that, contrarily to the study of stationary…

Other Condensed Matter · Physics 2009-11-11 N. Bilas , N. Pavloff