scholarly journals Time evolution law of Wigner operator in diffusion channel

2020 ◽  
Vol 69 (9) ◽  
pp. 090301
Author(s):  
Ke Zhang ◽  
Lan-Lan Li ◽  
Gang Ren ◽  
Jian-Ming Du ◽  
Hong-Yi Fan
Keyword(s):  
Time Evolution ◽  
Diffusion Channel ◽  
Wigner Operator ◽  
Evolution Law

New approach for obtaining the time-evolution law of a chaotic light field in a damping—gaining process

2012 ◽  
Vol 21 (8) ◽  
pp. 080302 ◽  
Author(s):  
Li-Hua Gong ◽  
Nan-Run Zhou ◽  
Li-Yun Hu ◽  
Hong-Yi Fan
Keyword(s):  
Time Evolution ◽  
Light Field ◽  
New Approach ◽  
Evolution Law

Evolution law of photocounting probability in a diffusion channel

2014 ◽  
Vol 28 (18) ◽  
pp. 1450145 ◽  
Author(s):  
Hong-Yi Fan ◽  
Fang Jia ◽  
Peng-Fei Zhang ◽  
Rui He
Keyword(s):  
Diffusion Process ◽  
Density Operator ◽  
Laguerre Polynomial ◽  
Initial Density ◽  
Optical Fields ◽  
Diffusion Channel ◽  
Normal Ordering ◽  
Evolution Law ◽  
Field L ◽  
New Formula

We find that in optical fields' diffusion process, the l-photocounting probability formula [Formula: see text] at time t = 0 should be generalized to a new formula [Formula: see text] at time t, where ρ(0) is the initial density operator of the field, Ll is the Laguerre polynomial, : : denotes normal ordering, and ξ is the quantum efficiency of the photocounting detector. This new formula brings much convenience for different ρ0, because for deriving [Formula: see text] there is no need to derive the corresponding ρ(t) in the diffusion channel.

Time Evolution of Wigner Function in Diffusion Channel

2014 ◽  
Vol 54 (4) ◽  
pp. 1225-1232 ◽  
Author(s):  
Jian Ming Du ◽  
Rui He ◽  
Gang Ren ◽  
Hai-Jun Yu
Keyword(s):  
Time Evolution ◽  
Wigner Function ◽  
Diffusion Channel

Time evolution law of the Laguerre-polynomial-weighted chaotic photon field in an amplitude-damping channel

2015 ◽  
Vol 93 (3) ◽  
pp. 283-289 ◽  
Author(s):  
Cheng Da ◽  
Qian-Fan Chen ◽  
Peng-Fei Zhang ◽  
Hong-Yi Fan
Keyword(s):  
Decay Rate ◽  
Time Evolution ◽  
Generating Function ◽  
Density Operator ◽  
Laguerre Polynomial ◽  
Hermite Polynomials ◽  
Evolution Law ◽  
Amplitude Damping ◽  
Photon Field ◽  
Amplitude Damping 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.

Time Evolution of the Wigner Operator as a Quasi-density Operator in Amplitude Dessipative Channel

2018 ◽  
Vol 57 (6) ◽  
pp. 1888-1893
Author(s):  
Zhisong Yu ◽  
Guihua Ren ◽  
Ziyang Yu ◽  
Chenhuinan Wei ◽  
Hongyi Fan
Keyword(s):  
Time Evolution ◽  
Density Operator ◽  
Wigner Operator
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