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Chinese Physics Letters

Generation of Entangled Coherent States in Raman-Coupled Bose–Einstein Condensates

Kuang Le-Man, Aihua Zeng, Kuang Zhen-Hua

Published May 28, 2004• 4 citations
Publisher

Abstract

A method for producing entangled coherent states (ECSs) for atomic Bose–Einstein condensates (BECs) is presented. The proposed method involves a BEC with three internal states and two classical laser beams in a three-level Lambda configuration. We show how to generate multi-state ECSs through properly manipulating strengths of these interactions and laser detunings. A maximally entangled coherent state is obtained explicitly.

DOI
10.1088/0256-307x/21/6/005

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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 direct, coherent coupling scheme that can create massively entangled states of Bose-Einstein-condensed atoms. Our idea is based on an effective interaction between two atoms from coherent Raman processes through a (two-atom) molecular intermediate state. We compare our scheme with other recent proposals for generation of massive entanglement of Bose-Einstein-condensed atoms. We also present explicit calculations that support the possibility of detecting maximally entangled states without requiring single-atom resolved measurements.
We propose a scheme for generating many-atom maximal entanglement states in spin-1 Bose-Einstein condensates. By applying a far-off-resonate blue-detuned linear-polarized laser to the condensates, the hyperfine level F=1,m=0F=1,m=0F=1,m=0 ground state and the hyperfine F=0F=0F=0 excited state are conveniently coupled. Such a configuration is more efficient and provides a fast implementation of the maximally entangled GHZ state, using only half of the time that is required in single-atom Raman-transition-based schemes [You, Phys. Rev. Lett. 90, 030402 (2003)].