Evolution law of a negative binomial state in an amplitude dissipative channel
Chen Feng (陈锋)a b, Fan Hong-Yi (范洪义)b
a Department of Mathematics and Physics, Hefei University, Hefei 230022, China;
b Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China
Abstract For the first time we derive the evolution law of the negative binomial state in an amplitude dissipative channel with a damping constant κ. We find that after passing through the channel, the final state is still a negative binomial state, however the parameter γ evolves into γ’, where γ’=γ/(e-2κt(1-γ)+γ). The decay law of the average photon number is also obtained.
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