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We investigate the notion of Bose-Einstein condensation of interacting particles. The definition of the condensate is based on the existence of the dominant eigenvalue of the single-particle density matrix. The statistical properties and…

Condensed Matter · Physics 2007-05-23 M. A. Cirone , K. Goral , K. Rzazewski , M. Wilkens

We discuss the atom-atom scattering problem across a Feshbach resonance in a two-dimensional dilute Bose gas at zero temperature, in the limit where the s-wave scattering length exceeds the width of the vertical confinement. We determine a…

Other Condensed Matter · Physics 2009-11-11 K. K. Rajagopal , P. Vignolo , M. P. Tosi

We theoretically study the out-of-equilibrium dynamics in momentum space of a weakly interacting disordered Bose gas launched with a finite velocity. In the absence of interactions, coherent multiple scattering gives rise to a background of…

Quantum Gases · Physics 2020-11-25 Thibault Scoquart , Thomas Wellens , Dominique Delande , Nicolas Cherroret

We explore the consequences of including the repulsive three-particle interaction in the model of Bose-Einstein condensate dark matter model or fuzzy dark matter. Such a model based on properly modified Gross-Pitaevskii equation is intended…

Astrophysics of Galaxies · Physics 2020-10-14 A. M. Gavrilik , M. V. Khelashvili , A. V. Nazarenko

Bose-Einstein condensation has been achieved in a magnetically trapped sample of 85Rb atoms. Long-lived condensates of up to 10^4 atoms have been produced by using a magnetic-field-induced Feshbach resonance to reverse the sign of the…

Condensed Matter · Physics 2009-10-31 S. L. Cornish , N. R. Claussen , J. L. Roberts , E. A. Cornell , C. E. Wieman

Temporal periodic modulation of the interatomic s-wave scattering length in Bose-Einstein condensates is shown to excite subharmonic patterns of atom density through a parametric resonance. The dominating wavelength of the spatial…

Statistical Mechanics · Physics 2009-11-07 Kestutis Staliunas , Stefano Longhi , German J. de Valcarcel

In this paper, we study the stability of three-dimensional Bose-Einstein condensates of finite temperatures at which both elastic and inelastic collisions are taken into account. The modeled governing Gross-Pitaevski equation reveals…

Quantum Gases · Physics 2025-04-08 R. Sasireka , O. T. Lekeufack , S. Sabari , A. Uthayakumar

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

We investigate the role of the interparticle-interaction strength in the distribution of two species of atoms inside a condensate. We focus upon the study of systems for which the minima of the trapping potentials for the species are…

Soft Condensed Matter · Physics 2009-11-07 D. M. Jezek , P. Capuzzi

These notes discuss two aspects of the physics of atomic Bose-Einstein condensates: optical properties and spinor condensates. The first topic includes light scattering experiments which probe the excitations of a condensate in both the…

Soft Condensed Matter · Physics 2015-06-24 Dan M. Stamper-Kurn , Wolfgang Ketterle

We propose an experiment for entangling two spatially separated Bose-Einstein condensates by Bragg scattering of light. When Bragg scattering in two condensates is stimulated by a common probe, the resulting quasiparticles in the two…

Quantum Physics · Physics 2009-11-07 B. Deb , G. S. Agarwal

We study the transport dynamics of matter-waves in the presence of disorder and nonlinearity. An atomic Bose-Einstein condensate that is localized in a quasiperiodic lattice in the absence of atom-atom interaction shows instead a slow…

Disordered Systems and Neural Networks · Physics 2015-02-27 E. Lucioni , B. Deissler , L. Tanzi , G. Roati , M. Modugno , M. Zaccanti , M. Larcher , F. Dalfovo , M. Inguscio , G. Modugno

We study Faraday and resonant waves in two-component quasi-one-dimensional (cigar-shaped) collisionally inhomogeneous Bose-Einstein condensates subject to periodic modulation of the radial confinement. We show by means of extensive…

Understanding the effect of interactions in the phase evolution of expanding atomic Bose Einstein condensates is fundamental to describe the basic phenomenon of matter wave interference. Many theoretical and experimental works tackled this…

Quantum Gases · Physics 2024-06-11 A. Burchianti , C. D'Errico , L. Marconi , F. Minardi , C. Fort , M. Modugno

In experiments conducted recently at MIT on Na Bose-Einstein condensates [S. Inouye et al, Nature 392, 151 (1998); J. Stenger et al, Phys. Rev. Lett. 82, 2422 (1999)], large loss rates were observed when a time-varying magnetic field was…

Condensed Matter · Physics 2009-10-31 V. A. Yurovsky , A. Ben-Reuven , P. S. Julienne , C. J. Williams

We study the limitations for entanglement due to collisional decoherence in a Bose-Einstein condensate. Specifically we consider relative number squeezing between photons and atoms coupled out from a homogeneous condensate. We study the…

Quantum Physics · Physics 2009-11-07 T. Gasenzer

We study Bragg spectroscopy of a strongly interacting Bose-Einstein condensate using time-dependent Hartree-Fock-Bogoliubov theory. We include approximatively the effect of the momentum dependent scattering amplitude which is shown to be…

Other Condensed Matter · Physics 2010-09-17 J. J. Kinnunen , M. J. Holland

The possibility that dark matter, whose existence is inferred from the study of the galactic rotation curves, and from the mass deficit in galaxy clusters, can be in a form of a Bose-Einstein Condensate, has been extensively investigated…

General Relativity and Quantum Cosmology · Physics 2015-09-01 Tiberiu Harko , Francisco S. N. Lobo

This paper deals with the theory of collisions between two ultracold particles with a special focus on molecules. It describes the general features of the scattering theory of two particles with internal structure, using a time-independent…

Atomic Physics · Physics 2017-03-28 Goulven Quéméner

The s-wave scattering length for elastic collisions between 87Rb atoms in the state |f,m_f>=|1,1> is measured in the vicinity of a Feshbach resonance near 1007 G. Experimentally, the scattering length is determined from the mean-field…

Condensed Matter · Physics 2007-05-23 Thomas Volz , Stephan Dürr , Sebastian Ernst , Andreas Marte , Gerhard Rempe