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Physical Review A

Testing the symmetrization postulate for photons using Rydberg atoms and cavity QED

Christopher C. Gerry, Robert C. Hilborn

Published Jun 1, 1997• 14 citations
Publisher

Abstract

We propose a test for small violations of the symmetrization postulate (SP) for microwave photons using Rydberg atoms in cavity QED. The method requires sequences of two properly prepared and manipulated atoms interacting with the cavity field in a dispersive manner. The cavity field is assumed to be prepared in a q-deformed coherent state. In the case when the SP holds, a sequence of two atoms would always be detected in the same state, but a small violation yields a nonzero probability that the second atom will be found in a different state. We make some estimates of the feasibility of the proposed experiment.

DOI
10.1103/physreva.55.4126

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•Jan 1, 2006•3 citations
We propose a test for small violations of the symmetrization postulate (SP) for microwave photons using Rydberg atoms in cavity QED. The method requires sequences of two properly prepared and manipulated atoms interacting with the cavity field in a dispersive manner. The cavity field is assumed to be prepared in a q-deformed coherent state. In the case when the SP holds, a sequence of two atoms would always be detected in the same state, but a small violation yields a nonzero probability that the second atom will be found in a different state. We make some estimates of the feasibility of the proposed experiment.
We propose a scheme for testing the small violations of the symmetrization postulate (SP) for photons in cavity QED. In the scheme, a degenerate Λ-type three-level atom is sent through a cavity field initially in a q -deformed coherent state. After an appropriate interaction time, the atom is measured by a state-selective detector. The probability that the atom makes a transition from one of the lower states to the other characterizes the violation of the SP. In the scheme, only one atom is required and classical fields are unnecessary, which is prior to the previous schemes.
We present the experimental realisation of a cavity QED atom interferometer based on two consecutive resonant interactions of a circular Rydberg atom with the field mode of a high Q microwave resonator that is initially prepared in the vacuum state. The interferometer scheme is analogous to the Ramsey method with the classical field replaced by the quantum field stored in the cavity mode. We demonstrate the possibility to use this technique to probe, by dispersive interaction, the field stored in a second mode of the resonator.
We propose two experimental schemes to generate the cluster states in the context of microwave cavity quantum electrodynamics (QED). In the first scheme to prepare many cavities into the cluster states, we encode the vacuum state and one-photon state of the microwave cavity as the logic zero and one of the qubits. The second scheme is to prepare many atoms into the cluster states, where qubits are represented by the states of Rydberg atoms. Both schemes require the resonant atom-cavity interaction so that the quantum dynamics operates at a high speed, which is important in view of decoherence.
We propose a Ramsey interferometry experiment using an entangled state of N atoms to approach the Heisenberg limit for the estimation of an atomic phase shift if the atom number parity is perfectly determined. In a more realistic situation, due to statistical fluctuations of the atom source and the finite detection efficiency, the parity is unknown. We then achieve about half the Heisenberg limit. The scheme involves an ensemble of circular Rydberg atoms which dispersively interact successively with two initially empty microwave cavities. The scheme does not require very high-Q cavities. An experimental realization with about ten entangled Rydberg atoms is achievable with a state of art apparatus.
We propose a Ramsey interferometry experiment using an entangled state of N atoms to reach the Heisenberg limit for the estimation of an atomic phase shift if the atom number parity is perfectly determined. In a more realistic situation, due to statistical fluctuations of the atom source and the finite detection efficiency, the parity is unknown. We then achieve about half the Heisenberg limit. The scheme involves an ensemble of circular Rydberg atoms which dispersively interact successively with two initially empty microwave cavities. The scheme does not require very high-Q cavities. An experimental realization with about ten entangled Rydberg atoms is achievable with state of art apparatuses. 1