Abstract
We explore time evolution of squeezed chaotic state (SCS) in amplitude dissipation channel with damping coefficient κ. By using the technique of integration within ordered product (IWOP) of operators we recast the initial density operator ρ 0 of SCS into the form of normally ordered Gaussian operator with two definite variances σ i ( i = 1, 2), which is related to the average photon number of the chaotic field and the squeezing parameter. We find that ρ 0 evolves to ρ t keeping the Gaussian form invariant except for σ i 2 → σ ′ i 2 = 1 − ( 1 − σ i 2 ) e − 2 κ t , which tells that the variance can be characteristic of the damping of SCS. Based upon the form of σ ′ i 2 we further describe the damping of SCS in terms of the damping rule for squeezing parameter and the mean photon number of chaotic field.
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