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中国物理B：英文版

A new optical field generated as an output of the displaced Fock state in an amplitude dissipative channel

许雪芬, 范洪义

Published Jan 1, 2015• 0 citations
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Abstract

We propose a new optical field and show that such an optical field can be generated as an output of a displaced Fock state in an amplitude dissipative channel.We derive new generating function formulas and binomial formula involving twovariable Hermite polynomials to reach this result.The photon number average in this new optical field is m+|α|2e-2κt,which indicates that controlling the photon number can be realized by adjusting the value of m or|α|2orκ.The time evolution law of displaced Fock state in a thermo reservoir is thus revealed.

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We propose a new optical field and show that such an optical field can be generated as an output of a displaced Fock state in an amplitude dissipative channel.We derive new generating function formulas and binomial formula involving twovariable Hermite polynomials to reach this result.The photon number average in this new optical field is m+|α|2e-2κt,which indicates that controlling the photon number can be realized by adjusting the value of m or|α|2orκ.The time evolution law of displaced Fock state in a thermo reservoir is thus revealed.
We propose a new optical field and show that such an optical field can be generated as an output of a displaced Fock state in an amplitude dissipative channel. We derive new generating function formulas and binomial formula involving two-variable Hermite polynomials to reach this result. The photon number average in this new optical field is which indicates that controlling the photon number can be realized by adjusting the value of m or |α| 2 or κ . The time evolution law of displaced Fock state in a thermo reservoir is thus revealed.
According to the combinational binomial-negative-binomial distribution, we propose a binomial-negative-binomial combinational optical field state, which can be generated in the process of a Fock state |m>m| passing through a quantum-mechanical diffusion channel. We derive the second-order coherence degree formula, g(2)(t) =2-((m2+m)/(m+κt2)), which is the diffusion constant. We find that in the process of the Fock state undergoing quantum diffusion and becoming classical, the corresponding photon statistics evolves from sub-Poissonian distribution to Poisson distribution and finally goes to a chaotic state. We also find that the more photons in the initial Fock state, the longer time is needed for quantum decoherence.