Geometric phase gate for entangling two Bose-Einstein condensates

Mahmood Irtiza Hussain, Ebubechukwu O. Ilo-Okeke, Tim Byrnes

Research output: Contribution to journalArticlepeer-review

19 Citations (Scopus)

Abstract

We propose a method of entangling two spinor Bose-Einstein condensates using a geometric phase gate. The scheme relies upon only the ac Stark shift and a common controllable optical mode coupled to the spins. Our scheme allows for the creation of an SzSz-type interaction where Sz is the total spin. The geometric phase gate can be executed in times of the order of 2πâ., /G, where G is the magnitude of the Stark shift. In contrast to related schemes which relied on a fourth-order interaction to produce entanglement, this is a second-order interaction in the number of atomic transitions. Closed expressions for the entangling phase are derived and the effects of decoherence due to cavity decay, spontaneous emission, and incomplete de-entangling of the light to the Bose-Einstein condensates are analyzed.

Original languageEnglish
Article number053607
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume89
Issue number5
DOIs
Publication statusPublished - 9 May 2014
Externally publishedYes

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