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arXiv:1105.5854 · Physical Review A

Steady-state entanglement in a double-well Bose-Einstein condensate through coupling to a superconducting resonator

H. T. Ng, Shih‐I Chu

Published Aug 23, 2011• 9 citations
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Abstract

We consider a two-component Bose-Einstein condensate in a double-well potential, where the atoms are magnetically coupled to a single mode of the microwave field inside a superconducting resonator. We find that the system has different dark-state subspaces in the strong- and weak-tunneling regimes. In the limit of weak tunnel coupling, steady-state entanglement between the two spatially separated condensates can be generated by evolving to a mixture of dark states via the dissipation of the photon field. We show that the entanglement can be faithfully indicated by an entanglement witness. Long-lived entangled states are useful for quantum-information processing with atom-chip devices.

DOI
10.1103/physreva.84.023629

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We consider a two-component Bose-Einstein condensate in a double-well potential, where the atoms are magnetically coupled to a single mode of the microwave field inside a superconducting resonator. We find that the system has different dark-state subspaces in the strong- and weak-tunneling regimes. In the limit of weak tunnel coupling, steady-state entanglement between the two spatially separated condensates can be generated by evolving to a mixture of dark states via the dissipation of the photon field. We show that the entanglement can be faithfully indicated by an entanglement witness. Long-lived entangled states are useful for quantum-information processing with atom-chip devices.
We study quantum dynamics of a Bose-Einstein condensate of spin-1 atoms inside a double-well potential. Under the single spatial mode approximation for condensate wave functions localized within each of the two wells, we examine quantum entanglement and pseudo-spin-squeezing properties in both the Rabi and Josephson regimes. Quantum fluctuations is found to be more stable leading to robust multipartite entanglement in the lower end of the Josephson regime, or the mean field self-trapped region. Substantial multipartite entanglement is witnessed not only due to pseudo-spin-squeezing by the axis-twisting interaction but also from redistribution of mode-entangled atoms between the wells by the tunneling coupling.
We address the dynamics induced by collective atomic recoil in a Bose-Einstein condensate in the presence of radiation losses and atomic decoherence. In particular, we focus on the linear regime of the lasing mechanism, and analyze the effects of losses and decoherence on the generation of entanglement. The dynamics is that of three bosons, two atomic modes interacting with a single-mode radiation field, coupled with a bath of oscillators. The resulting three-mode dissipative Master equation is solved analytically in terms of the Wigner function. We examine in details the two complementary limits of high-QQQ cavity and bad cavity, the latter corresponding to the so-called superradiant regime, both in the quasiclassical and quantum regimes. We found that three-mode entanglement as well as two-mode atom-atom and atom-radiation entanglement is generally robust against losses and decoherence, thus making the present system a good candidate for the experimental observation of entanglement in condensate systems. In particular, steady-state entanglement may be obtained both between atoms with opposite momenta and between atoms and photons.
We study the generation of two-mode entanglement in a two-component Bose-Einstein condensate trapped in a double-well potential. The dynamics of the system is shown to be equivalent to that of two coupled harmonic oscillators in the low excitation regime. Strong entanglement between the two components can be achieved if the interspecies interaction is sufficiently strong. In particular, the condensate constitutes a symmetric Gaussian system and hence its entanglement of formation can be measured directly by fluctuations in the quadratures of the two constituent components.
We propose a method to generate entangled light with a Bose–Einstein condensate trapped in a cavity, a system realized in recent experiments. The atoms of the condensate are trapped in a periodic potential generated by a cavity mode. The condensate is continuously pumped by a laser and spontaneously emits a pair of photons of different frequencies in two distinct cavity modes. In this way, the condensate mediates entanglement between two cavity modes, which leak out and can be separated and exhibit continuous variable entanglement. The scheme exploits the experimentally demonstrated strong, steady and collective coupling of condensate atoms to a cavity field.