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Chinese Physics Letters

Quantum Teleportation between Two Distant Bose—Einstein Condensates

Yu Guo, Xiaobing Luo

Published Jun 1, 2012• 5 citations
Publisher

Abstract

We propose protocols for quantum teleportation of superposed coherent states of atomic Bose—Einstein condensates. We use the photon entanglement states as the quantum channel, which makes it possible to realize the distant teleportation of atomic states. Two robust protocols are introduced: one is a single-photon scheme in which an entangled single-photon state serves as the quantum channel, and the other is a multi-photon scheme where an entangled coherent state of the probe lasers is used as the quantum channel.

DOI
10.1088/0256-307x/29/6/060303

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We propose a method to generate entangled coherent states between two spatially separated atomic Bose-Einstein condensates (BECs) via the technique of electromagnetically induced transparency (EIT). Two strong coupling laser beams and two entangled probe laser beams are used to cause two distant BECs to be in EIT states and to generate an atom-photon entangled state between probe lasers and distant BECs. The two BECs are initially in unentangled product coherent states while the probe lasers are initially in an entangled state. Entangled states of two distant BECs can be created through the performance of projective measurements upon the two outgoing probe lasers under certain conditions. Concretely, we propose two protocols to show how to generate entangled coherent states of the two distant BECs. One is a single-photon scheme in which an entangled single-photon state is used as the quantum channel to generate entangled distant BECs. The other is a multiphoton scheme where an entangled coherent state of the probe lasers is used as the quantum channel. Additionally, we also obtain some atom-photon entangled states of particular interest such as entangled states between a pair of optical Bell states (or quasi-Bell-states) and a pair of atomic entangled coherent states (or quasi-Bell-states).
We propose a scheme to generate maximally entangled states of two distant Bose—Einstein condensates, which are trapped in different potential wells of a one-dimensional optical lattice. We show how such maximally entangled state can be used to test the Bell inequality and realize quantum teleportation of a Bose—Einstein condensate state. The scheme proposed here is based on the interference of Bose—Einstein condensates leaking out from different potential wells of optical lattice. It is briefly pointed out that this scheme can be extended to generate maximally entangled Greenberger—Horne—Zeilinger (GHZ) states of 2m (m > 1) distant Bose—Einstein condensates.