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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…

We present a generic model for the description of non-equilibrium Bose-Einstein condensates, suited for the modelling of non-resonantly pumped polariton condensates in a semiconductor microcavity. The excitation spectrum and scattering of…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. Wouters , I. Carusotto

We consider a quantum theory of elastic light scattering from macroscopic atomic sample existing in the Bose-Einstein condensate (BEC) phase. Following to the second quantized formalism we introduce a set of coupled and closed diagram…

Quantum Physics · Physics 2017-01-17 Victoria Ezhova , Leonid Gerasimov , Dmitriy Kupriyanov

We introduce a classical stochastic field method that accounts for the quantum fluctuations responsible for spontaneous initiation of various atom optics processes. We assume a delta-correlated Gaussian noise in all initially empty modes of…

Soft Condensed Matter · Physics 2009-11-10 J. Chwedenczuk , M. Trippenbach , K. Rzazewski

Elastic scattering probes directly the interaction potential. For weakly interacting condensates this potential is given by the condensate density. We investigate how the differential and total cross sections reflect the density. In…

Quantum Physics · Physics 2009-09-25 Ivo Haering , Jan M Rost

General theory in case of homogenous Bose-Einstein condensed systems with spinor condensate is presented for the correlation functions of density and spin fluctuations and for the one-particle propagators as well. The random phase…

Statistical Mechanics · Physics 2009-10-31 Peter Szepfalusy , Gergely Szirmai

The fluctuations of a number of particles in the Bose-Einstein condensate are studied in the grand canonical ensemble with an effective single-mode Hamiltonian, which is derived from an assumption that the mode corresponding to the…

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

Mean field approximation treats only coherent aspects of the evolution of a Bose Einstein condensate. However, in many experiments some atoms scatter out of the condensate. We study an analytic model of two counter-propagating atomic…

Other Condensed Matter · Physics 2009-11-10 P. Zin , J. Chwedenczuk , A. Perez , K. Rzazewski , M. Trippenbach

We study the quantum corrections to the Gross-Pitaevskii equation for two weakly linked Bose-Einstein condensates. The goals are: 1) to investigate dynamical regimes at the borderline between the classical and quantum behaviour of the…

Statistical Mechanics · Physics 2016-08-31 Augusto Smerzi , Srikanth Raghavan

We study the inelastic scattering of a probe particle on a Bose-Einstein condensate confined in a double-well potential. We identify prominent signatures of the underlying mean-field phase space in the scattering signal and derive an…

Quantum Physics · Physics 2012-03-05 Stefan Hunn , Moritz Hiller , Tsampikos Kottos , Doron Cohen , Andreas Buchleitner

This article gives a rigorous analysis of the fluctuations of the Bose-Einstein condensate for a system of non-interacting bosons in an arbitrary potential, assuming that the system is governed by the canonical ensemble. As a result of the…

Probability · Mathematics 2014-03-05 Sourav Chatterjee , Persi Diaconis

We consider elementary excitations of an interacting Bose-Einstein condensate in the mean-field framework. As a building block for understanding the dynamics of systems comprising interaction and disorder, we study the scattering of…

Other Condensed Matter · Physics 2008-06-18 Christopher Gaul , Cord Axel Müller

We experimentally study cosmological particle production in a two-dimensional Bose-Einstein condensate, whose density excitations map to an analog cosmology. The expansion of spacetime is realized with tunable interactions. The particle…

We numerically calculate the density profile and excitation spectrum of a two-species Bose-Einstein condensate for the parameters of recent experiments. We find that the ground state density profile of this system becomes unstable in…

Condensed Matter · Physics 2009-10-31 D. Gordon , C. M. Savage

We present a new method of calculating the distribution function and fluctuations for a Bose-Einstein condensate (BEC) of N interacting atoms. The present formulation combines our previous master equation and canonical ensemble…

Statistical Mechanics · Physics 2009-11-11 Anatoly A. Svidzinsky , Marlan O. Scully

A uniform dilute Bose gas of known density has a universal behavior as the atomic scattering length tends to infinity at unitarity while most of its properties are determined by a universal parameter $\xi$ relating the energies of the…

Quantum Gases · Physics 2015-06-04 Luis E. Young-S , S. K. Adhikari , P. Muruganandam

We present a theoretical analysis of excitation modes in Bose-Einstein condensates in ultracold alkali-metal gases for large scattering lengths and momenta where corrections to the mean field approximation become important. We assume that…

Quantum Gases · Physics 2009-12-18 R. Sarjonen , M. Saarela , F. Mazzanti

We investigate how Bose-Einstein condensates, whose initial state is either irrotational or contains a single vortex, scatter off a one-dimensional Gaussian potential barrier. We find that for low atom densities the vortex structure within…

Other Condensed Matter · Physics 2009-11-11 A. M. Martin , R. G. Scott , T. M. Fromhold

We have developed a mean-field model to describe the dynamics of a non-equilibrium Bose-Einstein condensate of exciton-polaritons in a semiconductor microcavity. The spectrum of elementary excitations around the stationary state is…

Other Condensed Matter · Physics 2009-11-13 M. Wouters , I. Carusotto

We present a formal derivation of the mean-field expansion for dilute Bose-Einstein condensates with two-particle interaction potentials which are weak and finite-range, but otherwise arbitrary. The expansion allows for a controlled…

Other Condensed Matter · Physics 2007-05-23 Ralf Schützhold , Michael Uhlmann , Yan Xu , Uwe R. Fischer
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