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Chinese Physics B

Damping of displaced chaotic light field in amplitude dissipation channel*

Ke Zhang, Lanlan Li, Hong-Yi Fan

Published Jun 5, 2020• 4 citations
Publisher

Abstract

We explore how a displaced chaotic light (DCL) behaves in an amplitude dissipation channel, and what is its time evolution formula of photon number distribution. With the use of the method of integration within ordered product product of operator (IWOP) and the new binomial theorem involving two-variable Hermite polynomials we obtain the evolution law of DCL in the channel.

DOI
10.1088/1674-1056/ab99b2

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中国物理B：英文版•Jan 1, 2015•0 citations
We explore how a displaced chaotic light (DCL) behaves in an amplitude dissipation channel, and what is its time evolution formula of photon number distribution. With the use of the method of integration within ordered product product of operator (IWOP) and the new binomial theorem involving two-variable Hermite polynomials we obtain the evolution law of DCL in the channel.
We examine how a Laguerre-polynomial-weighted chaotic photon field (LPWCPF), whose density operator is [Formula: see text], evolves in an amplitude-damping channel. By using a newly derived generating function of two-variable Hermite polynomials we obtain the evolution law of LPWCPF, which turns out to be a new LPWCPF with a new parameter, depending on 1 − e−2κt, where κ represents decay rate. The technique of integration (summation) within an ordered product of operators is used in our discussions.
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.
We propose a new photon field in quantum field theory, named Laguerre-polynomial-weighted chaotic field. This field will emerge when an initial photon-added chaotic field, which is represented by its density operator [Formula: see text], dissipates in an amplitude damping channel described by time evolution equation [Formula: see text], where κ is a damping coefficient, that is, the initial field will evolve into [Formula: see text] with [Formula: see text], where Ls is the s-order Laguerre-polynomial, and : : denotes normal ordering. We employ the method of summation within an ordered product of operators to obtain our result.
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.