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By doing quantum Monte Carlo ab initio simulations we show that dipolar excitons, which are now under experimental study, actually are strongly correlated systems. Strong correlations manifest in significant deviations of excitation spectra…

Strongly Correlated Electrons · Physics 2009-11-13 Yu. E. Lozovik , I. L. Kurbakov , G. E. Astrakharchik , J. Boronat , M. Willander

The derivation of mean-field limits for quantum systems at zero temperature has attracted many researchers in the last decades. Recent developments are the consideration of pair correlations in the effective description, which lead to a…

Mathematical Physics · Physics 2019-12-12 Sören Petrat , Peter Pickl , Avy Soffer

We apply the microscopic Bogoliubov theory of dilute Bose-Einstein condensates to analyze quantum and thermal fluctuations in a flowing atomic condensate in the presence of a sonic horizon. For the simplest case of a step-like horizon,…

Quantum Gases · Physics 2014-11-20 A. Recati , N. Pavloff , I. Carusotto

We study the Bogoliubov excitations of a Bose-condensed gas in an optical lattice. Of primary interest is the long wavelength phonon dispersion for both current-free and current-carrying condensates. We obtain the dispersion relation by…

Soft Condensed Matter · Physics 2012-05-10 E. Taylor , E. Zaremba

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 formulate the basic theoretical methods for Bose-Einstein Condensation of atoms close to a Feshbach resonance, in which the tunable scattering length of the atoms is described using a system of coupled atom and molecule fields. These…

Atomic and Molecular Clusters · Physics 2011-09-15 Catarina E Sahlberg , C W Gardiner

We review the properties of chaoticity and coherence in Bose-Einstein condensation and correlations, for a dense boson system in its mean-field represented approximately by a harmonic oscillator potential. The order parameter and the nature…

High Energy Physics - Phenomenology · Physics 2015-01-27 Cheuk-Yin Wong , Wei-Ning Zhang , Jie Liu , Peng Ru

We study the effects of random scatterers on the ground state of the one-dimensional Lieb-Liniger model of interacting bosons on the unit interval in the Gross-Pitaevskii regime. We prove that Bose Einstein condensation survives even a…

Mathematical Physics · Physics 2013-01-25 R. Seiringer , J. Yngvason , V. A. Zagrebnov

We theoretically investigate the physics of interacting Bose-Einstein condensates at equilibrium in a weak (possibly random) potential. We develop a perturbation approach to derive the condensate wavefunction for an amplitude of the…

Other Condensed Matter · Physics 2007-05-23 Laurent Sanchez-Palencia

We have numerically solved the low-energy excitation spectra of ferromagnetic Bose-Einstein condensates subject to dipolar interparticle interactions. The system is assumed to be harmonically confined by purely optical means, thereby…

Quantum Gases · Physics 2011-10-31 J. A. M. Huhtamäki , P. Kuopanportti

We investigate the effects of correlations on the properties of the ground state of the rotating harmonically-trapped Bose gas by adding Bogoliubov fluctuations to the mean-field ground state of an $N$-particle single-vortex system. We…

Quantum Gases · Physics 2015-03-17 Soheil Baharian , Gordon Baym

We perform numerical simulation based on the time-dependent mean-field Gross-Pitaevskii equation to understand some aspects of a recent experiment by Donley et al. on the dynamics of collapsing and exploding Bose-Einstein condensates of…

Soft Condensed Matter · Physics 2009-11-07 Sadhan K. Adhikari

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 study the non-equilibrium evolution of binary Bose-Einstein condensates in the presence of weak random potential with a Gaussian correlation function using the time-dependent perturbation theory. We apply this theory to construct a…

Disordered Systems and Neural Networks · Physics 2021-12-28 Abdelaali Boudjemaa

We experimentally and theoretically investigate the lowest-lying axial excitation of an atomic Bose-Einstein condensate in a cylindrical box trap. By tuning the atomic density, we observe how the nature of the mode changes from a…

We investigate the influence of quantum fluctuations upon dipolar Bose gases by means of the Bogoliubov-de Gennes theory. Thereby, we make use of the local density approximation to evaluate the dipolar exchange interaction between the…

Atomic Physics · Physics 2011-10-27 Aristeu R. P. Lima , Axel Pelster

A mixture of two distinguishable Bose-Einstein condensates confined in a ring potential has numerous interesting properties under rotational and solitary-wave excitation. The lowest-energy states for a fixed angular momentum coincide with a…

Quantum Gases · Physics 2015-06-04 J. Smyrnakis , M. Magiropoulos , A. D. Jackson , G. M. Kavoulakis

We propose a four wave mixing experiment to probe the elementary excitation spectrum of a non-equilibrium Bose-Einstein condensate of exciton-polaritons under non-resonant pumping. Analytical calculations based on mean-field theory show…

Other Condensed Matter · Physics 2009-11-13 Michiel Wouters , Iacopo Carusotto

We study the effects of random scatterers on the ground state of the one-dimensional Lieb-Liniger model of interacting bosons on the unit interval in the Gross-Pitaevskii regime. We prove that Bose Einstein condensation survives even a…

Mathematical Physics · Physics 2013-06-04 Robert Seiringer , Jakob Yngvason , Valentin A. Zagrebnov

Bose-Einstein-condensed gases in external spatially random potentials are considered in the frame of a stochastic self-consistent mean-field approach. This method permits the treatment of the system properties for the whole range of the…

Disordered Systems and Neural Networks · Physics 2007-12-04 V. I. Yukalov , E. P. Yukalova , K. V. Krutitsky , R. Graham