Entanglement between atomic condensates in an optical lattice: effects of interaction range

Abstract

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 with the interaction to its nearest neighbors and next nearest neighbors. We show how the Hamiltonian of their Bose-Einstein condensate lattice with nearest-neighbor and next-nearest-neighbor interactions can be mapped into a harmonic lattice. We use this to determine the entropy and entanglement content of the lattice.

5 pages, 3 figures, title changed

References in corpus (4)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Bose-Einstein condensation of chromium
• Spatial quantum noise interferometry in expanding ultracold atom clouds
• Spatial structures and localization of vacuum entanglement in the linear harmonic chain

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• Many-Body Localization: Concepts and Simple Models
• Production of mesoscopic superpositions with ultracold atoms
• Entangled light from Bose-Einstein condensates
• Controlling quantum coherence of a two-component Bose-Einstein condensate via an impurity atom