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Physics Letters A

On the non-classical structure of the vacuum

Lawrence J. Landau

Published Jul 1, 1987• 26 citations
Publisher
DOI
10.1016/0375-9601(87)90288-x

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Non-classical states of the radiation field play very important role in quantum optics and have extensive application background in practice,therefore more and more people are greatly interested in how to construct non-classical states of various kinds.In this paper,we construct a new class of non-classical state of the radiation field,called superposed state of two-mode vacuum state and two-mode coherent state,we construct the mathematical structure of the superposed state of two-mode vacuum state and two-mode coherent state,discuss its quasi-probability distribution,furthermore the numerical results show that the superposed state of two-mode vacuum state and two-mode coherent state possess very obvious non-classical properties.Therefore it is a class of new non-classical quantum state.
Quantum electrodynamics (QED) predicts that the vacuum should behave as a non-linear medium. For many schemes aimed at verifying this fundamental prediction, the signal consists of one or more photons in a certain mode (determined by polarization σσσ and wave-number k\boldsymbol{k}k) which would be empty in the absence of a QED vacuum non-linearity. Here we consider modifying these schemes by sending in a classical or non-classical (e.g., squeezed) photon state instead of the initial vacuum state in that mode. We find that the detectability can be improved significantly.