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arXiv:1006.4027

Proposal for testing non-locality of single photons in cavities

Tanumoy Pramanik, Satyabrata Adhikari, A. S. Majumdar, Dipankar Home

Published Jun 21, 2010• 2 citations
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Abstract

A scheme is formulated for testing nonlocality of single photons by considering the state of a single photon that could be located within one of two spatially separated cavities. The outcomes of four experiments on this state involving the resonant interactions of two-level atoms with these cavities and a couple of other auxiliary ones is shown to lead to a contradiction with the criterion of locality.

DOI
10.48550/arxiv.1006.4027

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A scheme is formulated for testing nonlocality of single photons by considering the state of a single photon that could be located within one of two spatially separated cavities. The outcomes of four experiments on this state involving the resonant interactions of two-level atoms with these cavities and a couple of other auxiliary ones is shown to lead to a contradiction with the criterion of locality.
There have been studies on the formation of quantum-nonlocal states in two spatially separate cavities. We suggest a nonlocal test for a field prepared in two cavities. We couple classical driving fields with cavities where a nonlocal state is prepared. Two independent two-level atoms are then sent through respective cavities to interact off-resonantly with the cavity fields. The atomic states are measured after the interaction. Bell's inequality can be tested by the joint probabilities of the two-level atoms being in their excited or ground states. We find that a violation of Bell's inequality can also be tested using a single atom sequentially interacting with the two cavities. Potential experimental errors are also considered. We show that with the present experimental condition of 5% error in the atomic velocity distribution, the violation of Bell's inequality can be measured.
We present a scheme to demonstrate loophole-free Bell inequality violation where the entanglement between photon pairs is transferred to solid state (spin) qubits mediated by cavity QED interactions. As this transfer can be achieved in a heralded way, our scheme is basically insensitive to losses on the channel, and works also in the weak coupling regime. We consider potential experimental realizations using single atom, colour centre and quantum dot cavity systems. Finally our scheme appears to be promising for implementing quantum information protocols based on non-locality. Here we discuss a possible implementation of device-independent quantum key distribution.
Recently, much interest has been directed toward designing setups that achieve realistic loss thresholds for decisive tests of local realism---in particular in the optical regime. We analyze the feasibility of such Bell tests based on a WWW state shared between multiple parties, which can be realized, for example, by a single photon shared between spatial modes. We develop a general error model to obtain thresholds for the efficiencies required to violate local realism and also consider two concrete optical-measurement schemes.
The decay of a single photon in a microwave cavity is shown to be retarded by interaction with a resonant two-level atom in the experimental setup recently developed by Nogues and co-workers [see G. Nogues, A. Rauschenbeutel, S. Osnaghi, M. Brune, J. M. Raimond and S. Haroche, Nature vol 400, 239(1999)]. The effect may be interpreted in terms of the temporary removal of the photon from the cavity thereby protecting it from the effects of the environment to wich the cavity is coupled. Realistic parameters lead to a significative increase of the survival probability of the photon subsequently to the monitoring interaction.