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We study the entangled states that can be generated using two species of atoms trapped in independently movable, two-dimensional optical lattices. We show that using two sets of measurements it is possible to measure a set of entanglement…

Quantum Physics · Physics 2010-12-23 Emilio Alba , Geza Toth , Juan Jose Garcia-Ripoll

We investigate schemes to dynamically create many particle entangled states of a two component Bose-Einstein condensate in a very short time proportional to 1/N where $N$ is the number of condensate particles. For small $N$ we compare exact…

Soft Condensed Matter · Physics 2009-11-07 A. Micheli , D. Jaksch , J. I. Cirac , P. Zoller

A Bose-Einstein condensate is dispersively coupled to a single mode of an ultra-high finesse optical cavity. The system is governed by strong interactions between the atomic motion and the light field even at the level of single quanta.…

We study the equilibrium states of a vortex in a Bose-Einstein condensate in a one-dimensional optical lattice. We find that quantum effects can be important and that it is even possible for the vortex to be strongly squeezed, which…

Statistical Mechanics · Physics 2014-10-13 J. -P. Martikainen , H. T. C. Stoof

We investigate the properties of a coherent array containing about 200 Bose-Einstein condensates produced in a far detuned 1D optical lattice. The density profile of the gas, imaged after releasing the trap, provides information about the…

Soft Condensed Matter · Physics 2011-02-23 P. Pedri , L. Pitaevskii , S. Stringari , C. Fort , S. Burger , F. S. Cataliotti , P. Maddaloni , F. Minardi , M. Inguscio

We discuss effects of particle interaction on Bose condensation in inhomogeneous traps with and without optical lattice. Interaction pushes normal particles away from the condensate droplet, which is located in the center of the trap,…

Other Condensed Matter · Physics 2009-11-13 S. Chatterjee , A. E. Meyerovich

We analyze the physics of Bose-Einstein condensates confined in 2D quasi-periodic optical lattices, which offer an intermediate situation between ordered and disordered systems. First, we analyze the time-of-flight interference pattern that…

Other Condensed Matter · Physics 2016-08-16 Laurent Sanchez-Palencia , Luis Santos

We investigate the vortex-lattice structure for single- and two-component Bose-Einstein condensates in the presence of an optical lattice, which acts as a pinning potential for the vortices. The problem is considered in the mean-field…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. P. Mink , C. Morais Smith , R. A. Duine

We consider the condensate wavefunction of a rapidly rotating two-component Bose gas with an equal number of particles in each component. If the interactions between like and unlike species are very similar (as occurs for two hyperfine…

Condensed Matter · Physics 2009-11-07 Erich J. Mueller , Tin-Lun Ho

We analyze the entanglement properties of the Bogoliubov vacuum, which is obtained as a second order approximation to the ground state of an interacting Bose--Einstein condensate. We work on one and two dimensional lattices and study the…

Other Condensed Matter · Physics 2009-11-10 U. V. Poulsen , T. Meyer , M. Lewenstein

In this paper we examine the excitations observable in atoms confined in an optical lattice around the superfluid-insulator transition. We use increases in the number variance of atoms, subsequent to tilting the lattice as the primary…

Soft Condensed Matter · Physics 2013-05-29 K. Braun-Munzinger , J. A. Dunningham , K. Burnett

We derive closed analytical expressions for the order parameter $\Phi (x)$ and for the chemical potential $\mu $ of a Bose-Einstein Condensate loaded into a harmonically confined, one dimensional optical lattice, for sufficiently weak,…

Other Condensed Matter · Physics 2015-05-13 C. Trallero-Giner , V. Lopez-Richard , Ming-Chiang Chung , Andreas Buchleitner

We consider one-dimensional solitons in a binary Bose-Einstein condensate with linear coupling between the components, trapped in an optical-lattice potential. The inter-species and intra-species interactions may be both repulsive or…

Other Condensed Matter · Physics 2009-11-13 Sadhan K. Adhikari , Boris A. Malomed

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 theoretically study the black-hole lasing phenomenon in a flowing one-dimensional, coherently coupled two component atomic Bose-Einstein condensate whose constituent atoms interact via a spin-dependent s-wave contact interaction. We show…

Quantum Gases · Physics 2017-07-18 Salvatore Butera , Patrik Öhberg , Iacopo Carusotto

We study the entanglement entropy and spectrum between components in binary Bose-Einstein condensates in $d$ spatial dimensions. We employ effective field theory to show that the entanglement spectrum exhibits an anomalous square-root…

Quantum Gases · Physics 2021-04-21 Takumi Yoshino , Shunsuke Furukawa , Masahito Ueda

We consider a rapidly rotating two-component Bose-Einstein condensate with short-range s-wave interactions as well as dipolar coupling. We calculate the phase diagram of vortex lattice structures as a function of the intercomponent s-wave…

Quantum Gases · Physics 2015-06-18 N. Ghazanfari , A. Keleş , M. Ö. Oktel

By effectively controlling the dipole-dipole interaction, we investigate the characteristics of the ground state of bright solitons in a spin-orbit coupled dipolar Bose-Einstein condensate. The dipolar atoms are trapped within a…

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 that the entropy of entanglement and the distillable entanglement of regions with respect to the rest of a general harmonic lattice system in the ground or a thermal state scale at most as the boundary area of the region.…

Quantum Physics · Physics 2009-11-11 M. Cramer , J. Eisert , M. B. Plenio , J. Dreissig