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We study the expansion of a Bose-Einstein condensate trapped in a combined optical-lattice and axially-symmetric harmonic potentials using the numerical solution of the mean-field Gross-Pitaevskii equation. First, we consider the expansion…

Soft Condensed Matter · Physics 2009-11-10 Sadhan K. Adhikari

In this work a two-particle irreducible (2PI) closed-time-path (CTP) effective action is used to describe the nonequilibrium dynamics of a Bose Einstein condensate (BEC) selectively loaded into every third site of a one-dimensional optical…

Soft Condensed Matter · Physics 2013-05-29 Ana Maria Rey , B. L. Hu , Esteban Calzetta , Albert Roura , Charles Clark

This chapter presents an overview of the properties of a Bose-Einstein condensate (BEC) trapped in a periodic potential. This system has attracted a wide interest in the last years, and a few excellent reviews of the field have already…

Statistical Mechanics · Physics 2015-05-13 A. Smerzi , A. Trombettoni

We prepare a Bose-Einstein condensed gas in a three-dimensional optical lattice and study the excitation spectrum of the superfluid phase for different interaction strengths. We probe the response of the system by modulating the depth of…

Superconductivity · Physics 2009-11-10 Christian Schori , Thilo Stöferle , Henning Moritz , Michael Köhl , Tilman Esslinger

We simulate three experimental methods which could be realized in the laboratory to probe the band excitation energies and the momentum distribution of a Bose-Einstein condensate inside an optical lattice. The values of the excitation…

Statistical Mechanics · Physics 2009-10-31 M. L. Chiofalo , S. Succi , M. P. Tosi

Ultra-cold atoms in optical lattices realize simple, fundamental models in condensed matter physics. Our 87Rb Bose-Einstein condensate is confined in a harmonic trapping potential to which we add an optical lattice potential. Here we…

Quantum Gases · Physics 2010-09-15 K. Jimenez-Garcia , R. L. Compton , Y. -J. Lin , W. D. Phillips , J. V. Porto , I. B. Spielman

We demonstrate single site addressability in a two-dimensional optical lattice with 600 nm lattice spacing. After loading a Bose-Einstein condensate in the lattice potential we use a focused electron beam to remove atoms from selected…

Other Condensed Matter · Physics 2009-10-13 Peter Würtz , Tim Langen , Tatjana Gericke , Andreas Koglbauer , Herwig Ott

A dense Bose gas with hard-core interaction is considered in an optical lattice. We study the phase diagram in terms of a special mean-field theory that describes a Bose-Einstein condensate and a Mott insulator with a single particle per…

Statistical Mechanics · Physics 2009-11-13 O. Fialko , Ch. Moseley , K. Ziegler

The dynamics of a 2D Bose-Einstein condensate in optical trap is studied taking into consideration fluctuations of the far-off-resonance laser field intensity. The problem is described in the frame of the mean field Gross-Pitaevskii…

Soft Condensed Matter · Physics 2007-05-23 F. Kh. Abdullaev , B. B. Baizakov , V. V. Konotop

We report observations of the formation and subsequent decay of a vortex lattice in a Bose-Einstein condensate confined in a hybrid optical-magnetic trap. Vortices are induced by rotating the anharmonic magnetic potential that provides…

Atomic Physics · Physics 2016-01-21 A. Rakonjac , A. L. Marchant , T. P. Billam , J. L. Helm , M. M. H. Yu , S. A. Gardiner , S. L. Cornish

We study the area-dependent entropy and two-site entanglement for two state Bose-Einstein condensates in a 2D optical lattice. We consider the case where the array of two component condensates behave like an ensemble of spin-half particles…

Quantum Physics · Physics 2015-06-26 H. T. Ng , K. Burnett

We have experimentally investigated the free expansion of a Bose-Einstein condensate in an array of two-dimensional traps created by a one-dimensional optical lattice. If the condensate held in a magnetic trap is loaded adiabatically into…

Soft Condensed Matter · Physics 2009-11-07 O. Morsch , M. Cristiani , J. H. Müller , D. Ciampini , E. Arimondo

Starting from an effective action for the order parameter field, we derive a coupled set of generalized hydrodynamic equations for a Bose condensate in an optical lattice at finite temperatures. Using the linearized hydrodynamic equations,…

Other Condensed Matter · Physics 2009-11-11 Satoru Konabe , Tetsuro Nikuni

We investigate the time evolution of a Bose-Einstein condensate in a periodic optical potential. Using an effective mass formalism, we study the equation of motion for the envelope function modulating the Bloch states of the lattice…

Soft Condensed Matter · Physics 2009-11-07 H. Pu , L. O. Baksmaty , W. Zhang , N. P. Bigelow , P. Meystre

A weakly interacting, spin-orbit coupled, two-component, ultracold Bose gas bound to a Bravais lattice is studied. Motivated by recent experimental advances in the field of synthetically spin-orbit coupled, ultracold, neutral atomic gases…

Quantum Gases · Physics 2020-11-24 Kristian Mæland

The hydrodynamic equations of superfluids for a weakly interacting Bose gas are generalized to include the effects of periodic optical potentials produced by stationary laser beams. The new equations are characterized by a renormalized…

Condensed Matter · Physics 2009-11-07 M. Kraemer , L. Pitaevskii , S. Stringari

We explore the effect of transverse confinement on the stability of a Bose-Einstein condensate (BEC) loaded in a shaken one-dimensional or two-dimensional square lattice. We calculate the decay rate from two-particle collisions. We predict…

Quantum Gases · Physics 2016-02-12 Sayan Choudhury , Erich J. Mueller

Using mean field theory, we have studied Bose-Fermi mixtures in a one-dimensional optical lattice in the case of an attractive boson-fermion interaction. We consider that the fermions are in the degenerate regime and that the laser…

Other Condensed Matter · Physics 2009-11-11 M. Centelles , M. Guilleumas , M. Barranco , R. Mayol , M. Pi

We report on the observation of the confinement-induced collapse dynamics of a dipolar Bose-Einstein condensate (dBEC) in a one-dimensional optical lattice. We show that for a fixed interaction strength the collapse can be initiated in-trap…

Quantum Gases · Physics 2012-11-26 J. Billy , E. A. L. Henn , S. Müller , T. Maier , H. Kadau , A. Griesmaier , M. Jona-Lasinio , L. Santos , T. Pfau

The recent experimental condensation of ultracold atoms in a triangular optical lattice with negative effective tunneling energies paves the way to study frustrated systems in a controlled environment. Here, we explore the critical behavior…

Quantum Gases · Physics 2016-12-20 Peter Janzen , Wen-Min Huang , Ludwig Mathey