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After almost half a century since the work of Anderson [Phys. Rev. {\bf 109}, 1492 (1958)], at present there is no well established theoretical framework for understanding the dynamics of interacting particles in the presence of disorder.…

Quantum Gases · Physics 2010-12-01 S. G. Bhongale , Paata Kakashvili , C. J. Bolech , H. Pu

We present the results of Bragg spectroscopy performed on an accelerating Bose-Einstein condensate. The Bose condensate undergoes circular micro-motion in a magnetic TOP trap and the effect of this motion on the Bragg spectrum is analyzed.…

Condensed Matter · Physics 2009-11-10 R. Geursen , N. R. Thomas , A. C. Wilson

Spin-orbit coupling (SOC), the intrinsic interaction between a particle spin and its motion, is responsible for various important phenomena, ranging from atomic fine structure to topological condensed matter physics. The recent experimental…

Quantum Gases · Physics 2013-07-05 Yongping Zhang , Gang Chen , Chuanwei Zhang

We report on the realisation of a stiff magnetic trap with independently adjustable trap frequencies, $\omega_z$ and $\omega_r$, in the axial and radial directions respectively. This has been achieved by applying an axial modulation to a…

Statistical Mechanics · Physics 2009-10-31 E. Hodby , G. Hechenblaikner , O. M. Marago' , J. Arlt , S. Hopkins , C. J. Foot

An optical speckle potential is used to investigate the static and dynamic properties of a Bose-Einstein condensate in the presence of disorder. For strong disorder the condensate is localized in the deep wells of the potential. With…

Other Condensed Matter · Physics 2009-11-10 J. E. Lye , L. Fallani , M. Modugno , D. Wiersma , C. Fort , M. Inguscio

The expansion of an initially confined Bose-Einstein condensate into either free space or a tilted optical lattice is investigated in a mean-field approach. The effect of the interactions is to enhance or suppress the transport depending on…

Quantum Gases · Physics 2017-12-29 Samy Mailoud Sekkouri , Sandro Wimberger

We report on the optimized production of a Bose-Einstein condensate of cesium atoms using an optical trapping approach. Based on an improved trap loading and evaporation scheme we obtain more than $10^5$ atoms in the condensed phase. To…

Other Condensed Matter · Physics 2007-05-23 Tobias Kraemer , Jens Herbig , Michael Mark , Tino Weber , Cheng Chin , Hanns-Christoph Naegerl , Rudolf Grimm

We examine an effectively repulsive Bose-Einstein condensate of atoms, that rotates in a quadratic-plus-quartic trapping potential. We investigate the phase diagram of the system as a function of the angular frequency of rotation and of the…

Statistical Mechanics · Physics 2015-06-24 A. D. Jackson , G. M. Kavoulakis

In this work we perform a numerical study of a rotating, harmonically trapped, Bose-Einstein condensate of microcavity polaritons. An efficient numerical method (toolbox) to solve the complex Gross-Pitaevskii equation is developed. Using…

Quantum Gases · Physics 2015-05-12 Bikash Padhi , Romain Duboscq , Ankita Niranjan , Ravi K. Soni

We discuss the transport of a tracer particle through the Bose Einstein condensate of a Bose gas. The particle interacts with the atoms in the Bose gas through two-body interactions. In the limiting regime where the particle is very heavy…

Mathematical Physics · Physics 2015-06-05 Juerg Froehlich , Zhou Gang

In this short review we present our recent results concerning the rotation of atomic Bose-Einstein condensates confined in quadratic or quartic potentials, and give an overview of the field. We first describe the procedure used to set an…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Sabine Stock , Baptiste Battelier , Vincent Bretin , Zoran Hadzibabic , Jean Dalibard

We discuss the recently achieved Bose-Einstein condensation for alkali-metal atoms in magnetic traps. The theoretically predicted low-energy collective oscillations of the condensate have been experimentally confirmed by laser imaging…

chao-dyn · Physics 2009-10-31 Luca Salasnich

We present theoretical as well as experimental results on resonantly enhanced quantum tunneling of Bose-Einstein condensates in optical lattices both in the linear case of single particle dynamics and in the presence of atom-atom…

Quantum Gases · Physics 2011-04-14 Ennio Arimondo , Sandro Wimberger

We apply a path integral variational approach to obtain analytical expressions for condensate wave functions of an ultracold, interacting trapped Bose gases. As in many recent experiments, the particles are confined in a 1D or 3D harmonic…

Quantum Gases · Physics 2014-03-07 Wattana Ratismith , Holger Hauptmann , Walter T. Strunz

Considering an effectively attractive quasi-one-dimensional Bose-Einstein condensate of atoms confined in a toroidal trap, we find that the system undergoes a phase transition from a uniform to a localized state, as the magnitude of the…

Condensed Matter · Physics 2009-11-07 G. M. Kavoulakis

We solve the Gross-Pitaevskii equation to study energy transfer from an oscillating `object' to a trapped Bose-Einstein condensate. Two regimes are found: for object velocities below a critical value, energy is transferred by excitation of…

Statistical Mechanics · Physics 2009-10-31 B. Jackson , J. F. McCann , C. S. Adams

By cyclic adiabatic change of two control parameters of an optical trap one can induce a circulating current of condensed bosons. The amount of particles that are transported per period depends on the "radius" of the cycle, and this…

Other Condensed Matter · Physics 2008-07-02 Moritz Hiller , Tsampikos Kottos , Doron Cohen

The state of a rotating Bose-Einstein condensate in a harmonic trap is modeled by a wave function that minimizes the Gross-Pitaevskii functional. The resulting minimization problem has two new features compared to other similar functionals…

Analysis of PDEs · Mathematics 2014-08-29 Ayman Kachmar

A large number of effects related to the phenomenon of Bose-Einstein Condensation (BEC) can be understood in terms of lowest order mean field theory, whereby the entire system is assumed to be condensed, with thermal and quantum…

Other Condensed Matter · Physics 2015-05-13 N. P. Proukakis

We study the normal modes of a two-dimensional rotating Bose-Einstein condensate confined in a quadratic plus quartic trap. Hydrodynamic theory and sum rules are used to derive analytical predictions for the collective frequencies in the…

Statistical Mechanics · Physics 2009-11-10 M. Cozzini , A. L. Fetter , B. Jackson , S. Stringari