Quantum Inf Process (2017) 16:47
Entanglement of two hybrid optomechanical cavities
composed of BEC atoms under Bell detection
· V. Ameri
Received: 30 October 2016 / Accepted: 21 December 2016 / Published online: 31 December 2016
© Springer Science+Business Media New York 2016
Abstract In this paper, ﬁrstly, we consider bipartite entanglement between each part
of an optomechanical cavity composed of one-dimensional Bose–Einstein conden-
sate (BEC). We investigate atomic collision on the behaviour of the BEC in the week
photon–atom coupling constant and use Bogoliubov approximation for the BEC.
Secondly under above condition, we propose a scheme for entanglement swapping
protocol which involves tripartite systems. In our investigation, we consider a sce-
nario where BECs, moving mirrors, and optical cavity modes are given in a Gaussian
state with a covariance matrix. By applying the Bell measurement to the output optical
ﬁeld modes, we show how the remote entanglement between two BECs, two moving
mirrors, and BEC-mirror modes in different optomechanical cavity can be generated.
Keywords Entanglement swapping · Optomechanics · Hybrid Systems · Bose–
In recent years, non-classical entanglement states play an essential role for the com-
munication and computation processing . Entangled states of continuous variable
(CV) systems are attractive for this purpose [2,3]. As an example of continuous vari-
able systems, Gaussian states play a key role in the quantum information since they
have been formulated easily and they can be created and controlled experimentally.
Department of Physics, University of Kashan, Kashan, Iran
Department of Physics, Faculty of Science, University of Hormozgan, Bandar-Abbas, Iran