TY - JOUR

T1 - Geometric phase gate for entangling two Bose-Einstein condensates

AU - Hussain, Mahmood Irtiza

AU - Ilo-Okeke, Ebubechukwu O.

AU - Byrnes, Tim

PY - 2014/5/9

Y1 - 2014/5/9

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84900449136&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.89.053607

DO - 10.1103/PhysRevA.89.053607

M3 - Article

AN - SCOPUS:84900449136

SN - 1050-2947

VL - 89

JO - Physical Review A - Atomic, Molecular, and Optical Physics

JF - Physical Review A - Atomic, Molecular, and Optical Physics

IS - 5

M1 - 053607

ER -