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arXiv:0803.1760 · Physical Review A

Entanglement of two distant Bose-Einstein condensates by detection of Bragg-scattered photons

Bimalendu Deb, G. S. Agarwal

Published Jul 31, 2008• 11 citations
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Abstract

We show that it is possible to generate entanglement between two distant Bose-Einstein condensates by detection of Hanbury--Brown-Twiss-type correlations in photons Bragg scattered by the condensates. Upon coincident detection of two photons by two detectors, the projected joint state of two condensates is shown to be non-Gaussian. We verify the existence of entanglement by showing that the partially transposed state is negative. Further, we use the inequality in terms of higher-order moments to confirm entanglement. Our proposed scheme can be generalized for multiple condensates and also for spinor condensates with Bragg scattering of polarized light, with the latter capable of producing hyperentanglement.

DOI
10.1103/physreva.78.013639

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We show that it is possible to generate entanglement between two distant Bose-Einstein condensates by detection of Hanbury--Brown-Twiss-type correlations in photons Bragg scattered by the condensates. Upon coincident detection of two photons by two detectors, the projected joint state of two condensates is shown to be non-Gaussian. We verify the existence of entanglement by showing that the partially transposed state is negative. Further, we use the inequality in terms of higher-order moments to confirm entanglement. Our proposed scheme can be generalized for multiple condensates and also for spinor condensates with Bragg scattering of polarized light, with the latter capable of producing hyperentanglement.
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We propose an experiment for entangling two spatially separated Bose-Einstein condensates by Bragg scattering of light. When Bragg scattering in two condensates is stimulated by a common probe, the resulting quasiparticles or particles in the two condensates get entangled due to quantum communication between the condensates via the probe beam. The entanglement is shown to be significant and occurs in both number and quadrature phase variables and depends strongly on the relative detuning of the two pumps and the relative atom-field coupling strengths of the two condensates. We present two methods of detecting the generated entanglement.
We show that it is possible to entangle three different many-particle states by Bragg spectroscopy with nonclassical light in a Bose condensate of weakly interacting atomic gases. Among these three states, two are of atoms corresponding to two opposite momentum side modes of the condensate; and the other is of single-mode photons of the output probe beam. We demonstrate strong dependence of the multiparticle entanglement on the quantum statistics of the probe light. We present detailed results on entanglement keeping in view the possible experimental situation.
We propose a technique that enables the creation of quantum discord between two distant nodes, each containing a cavity consisting of the Bose–Einstein condensate (BEC), by applying a nonideal Bell-like detection on the output modes of optical cavities. We find the covariance matrix of the system after the nonideal Bell-like detection, showing explicitly that one enables manipulation of the quantum correlations, and particularly quantum discord, between remote BECs. We also find that the nonideal Bell-like detection can create entanglement between distant BECs at the two remote sites.
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Establishing quantum entanglement between pairs of distant quantum memories (QMs) is essential for numerous applications in quantum networks. In this paper, we propose some heralded schemes for entanglement generation between multiple pairs of QMs placed in long-distance separated nodes, where the qubits are encoded on QMs coupled to a one-dimensional waveguide. By distributing a pair of spatial-polarization hyperentangled photons to two distant nodes, where each photon scatters with QMs, we can generate entanglement between multiple pairs of distant QMs. In our schemes, the faulty scattering events can be filtered out and discarded via detecting the polarization states of scattered photon components within each module QM. Moreover, the responses from single-photon detectors placed at the end of each node enable us to obtain direct entangled states between QMs in a heralded manner. Eventually, we theoretically extend the proposed schemes by demonstrating specific regularities that arise when entangling more pairs of QMs. With recent advancements in hyperentanglement generation, our schemes become increasingly feasible for practical implementation.