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Hu'nan Shifan Daxue xuebao. Ziran kexue ban

Quantum Entanglement of Many Particles in Spinor Bose-Einstein Condensates

Xie Yimin, Mao-Fa Fang

Published Jan 1, 2006• 0 citations
OpenAlex

Abstract

A theoretical treatment of the proposa for creating maximally entangled sates of many particles in spin-1 Bsoe-Einstein condensates(BECs) is presented by applying a single atom Raman transition.It is shown that the three-mode model suggested in reference [1] can be further reduced to an effective two-mode one by a simple method.It also suggests a scheme for generating the atom-atom continuous-variable entangled states in this system.

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A theoretical treatment of the proposa for creating maximally entangled sates of many particles in spin-1 Bsoe-Einstein condensates(BECs) is presented by applying a single atom Raman transition.It is shown that the three-mode model suggested in reference [1] can be further reduced to an effective two-mode one by a simple method.It also suggests a scheme for generating the atom-atom continuous-variable entangled states in this system.
We present a theoretical analysis of the experimental scheme for creating maximally entangled states of many atoms in spin-1 Bose-Einstein condensates by driving single atom Raman transition [Li You, Phys. Rev. Lett. 90, 030402 (2003)]. It is shown that, with the help of strong external laser pulses, the model proposed by You can be greatly simplified. Using this simplified interaction, an analytical expression is given for the entangled states between atoms with hyperfine spin $\ensuremath{-}1$ and 1. We also show how to generate the entangled state between atoms with hyperfine spin 0 and 1.
We propose a scheme to generate and detect various kinds of quantum entanglement in a spin-1 Bose-Einstein condensate. It is shown that substantial many-particle entanglement can be generated directly in the spin-1 condensate by free dynamical evolution with a properly prepared initial state. The scheme also provides a simple method to generate three-mode entanglement in the second-quantization picture and to detect the continuous variable type of entanglement between two effective modes in the spin-1 condensate.
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)].