Quantum Statistical Properties of Coupled Nonlinear Oscillators with Losses

J. Peřina Joint Laboratory of Optics, Palacký University, 771 46, Olomouc, Czechoslovakia

R. Horák Joint Laboratory of Optics, Palacký University, 771 46, Olomouc, Czechoslovakia

Z. Hradil Joint Laboratory of Optics, Palacký University, 771 46, Olomouc, Czechoslovakia

C. Sibilia Dipartimento di Energetica, Università di Roma ‘La Sapienza’, 00161, Roma, Italy; Gruppo Nazionale di Elettronica Quantistica e Plasmi del C.N.R., Italy

M. Bertolotti Dipartimento di Energetica, Università di Roma ‘La Sapienza’, 00161, Roma, Italy; Gruppo Nazionale di Elettronica Quantistica e Plasmi del C.N.R., Italy

Abstract

The statistical properties of two coupled nonlinear oscillators including losses are discussed using the statistics for the generalized superposition of coherent fields and quantum noise. Exact and approximate formulae for squeezing of vacuum fluctuations are derived. The photon statistics are shown to be Poissonian from the nonlinear dynamics of the lossless case. Non-classical behaviour is degraded by noise.

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Quantum Statistical Properties of Coupled Nonlinear Oscillators with Losses

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