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انجمن اپتیک و فوتونیک ایران

Decoherence of Photon-added Even/Odd Coherent States in Photon-loss Channel

Arezoo Mohammadbeigi, Mohammad Kazem Tavassoly

Published Feb 15, 2014• 0 citations
OpenAlex

Abstract

In this paper we study the effect of decoherence on the photon-added even/odd coherent states. For this purpose, the time-dependent Wigner function of the considered states during their interaction with the environment in zero temperature (that is called photon-loss channel) is obtained in the framework of standard master equation. Then, by analyzing the evolution of Wigner distribution of the mentioned states, the loss of nonclassicality behavior as a result of decoherence is clearly shown.

Related papers

The decoherence of the quantum excitation of even/odd coherent states in a photon-loss channel

Arezoo Mohammadbeigi, Mohammad Kazem Tavassoly

In this paper, the decoherence of the quantum excitation (the photon-added case) of even/odd coherent states, in a photon-loss channel is studied via the evaluation of the negative part of the Wigner quasi-distribution function in terms of the rescaled time ( ). We first obtain the explicit form of the time-dependent Wigner functions of the states considered, for arbitrary values of the photon excitations. To achieve this purpose, an equivalent Fokker–Planck-like equation which describes the time evolution of the Wigner function in the framework of the standard master equation of the density matrix is used. Then, by analyzing the time variation of the corresponding Wigner functions, the loss of the nonclassicality behavior and, hence, the decay of the negative part of the Wigner functions as a result of decoherence are clearly shown. In particular, we derive the threshold value of the rescaled time for single-photon-added even and odd coherent states; through this it is observed that the associated Wigner functions become positive whenever the rescaled time exceeds that value, i.e., the decoherence has become complete. By virtue of numerical calculations, it is also illustrated that the negative volume of the corresponding Wigner functions decreases with increasing time. In addition, the states with larger values of the excitation number m generally (but not absolutely always) possess smaller values of the rescaled threshold time.

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In this paper we study the effect of decoherence on the photon-added even/odd coherent states. For this purpose, the time-dependent Wigner function of the considered states during their interaction with the environment in zero temperature (that is called photon-loss channel) is obtained in the framework of standard master equation. Then, by analyzing the evolution of Wigner distribution of the mentioned states, the loss of nonclassicality behavior as a result of decoherence is clearly shown.
In this paper, the decoherence of the quantum excitation (the photon-added case) of even/odd coherent states, in a photon-loss channel is studied via the evaluation of the negative part of the Wigner quasi-distribution function in terms of the rescaled time ( ). We first obtain the explicit form of the time-dependent Wigner functions of the states considered, for arbitrary values of the photon excitations. To achieve this purpose, an equivalent Fokker–Planck-like equation which describes the time evolution of the Wigner function in the framework of the standard master equation of the density matrix is used. Then, by analyzing the time variation of the corresponding Wigner functions, the loss of the nonclassicality behavior and, hence, the decay of the negative part of the Wigner functions as a result of decoherence are clearly shown. In particular, we derive the threshold value of the rescaled time for single-photon-added even and odd coherent states; through this it is observed that the associated Wigner functions become positive whenever the rescaled time exceeds that value, i.e., the decoherence has become complete. By virtue of numerical calculations, it is also illustrated that the negative volume of the corresponding Wigner functions decreases with increasing time. In addition, the states with larger values of the excitation number m generally (but not absolutely always) possess smaller values of the rescaled threshold time.
We investigate the nonclassicality of photon-added coherent states in the photon-loss channel by exploring the entanglement potential and negative Wigner distribution. The total negative probability defined by the volume of the negative part of the Wigner function reduces with the decay time. The total negative probability and the entanglement potential of pure photon-added coherent states exhibit the similar dependence on the beam intensity. The reduce of the total negative probability is consistent with the behavior of entanglement potential for the dissipative single-photon-added coherent state at short decay times.
In this paper the photon addition-then-subtraction coherent state (PASCS) is put forward by first adding multiphotons to and then subtracting multiphotons from the coherent state. By taking advantage of the technique of integration within an ordered product of operators, the analytical expressions of the normalization constant, photon-number distribution, Mandel’s Q parameter, the P function, the Q function, and the Wigner function (WF) of the PASCS are derived. The fidelity between the PASCS and the initial coherent state is also deduced and its nonclassicality discussed. In addition, the time evolution of the WF is derived analytically and the decoherence of the PASCS in the photon-loss channel is studied.
We investigate the time evolution of a quantum state in the laser channel with cavity gain coefficient g and loss coefficient κ by virtue of the thermo entangled state representation. This is a new approach for solving master equations. We exactly calculate the evolving result of the photon-added coherent state (PACS) governed by the master equation describing the laser process, and the normal ordered form of the density operator in the laser channel is derived, based on which we calculate the Wigner function analytically and graphically. The corresponding law of the PACS evolution in the laser channel is evaluated.
Using the coherent state representation of the Wigner operator, the Wigner function for the photon-added even and odd coherent state (PAEOCS) is obtained. In terms of the variations of the Wigner function with the complex parameter α in the phase space, the non-classical properties of the PAEOCS are discussed. It is found that the PAEOCS always exhibits the non-classical properties, and the photon-added even (or odd) coherent state exhibits the non-classical properties more easily when m is odd (or even). By virtue of the marginal distributions of the Wigner function for the PAEOCS, we illuminate the physical meaning of the Wigner function. Finally, based on the intermidate coordinate-momentum presentation the quantum tomogram function for the PAEOCS is obtained.
Decoherence of q−q-q−Deformed Photon Added Coherent State
In this study, we explore the behavior of photon added coherent states in a deformed harmonic oscillator subjected to dissipative decoherence. We use q−q-q−deformation as our nonlinear function to model our system. By adjusting the deformation parameter, we show that q−q-q−deformed photon added coherent state (DPACS) exhibit greater nonclassicality and resilience to decoherence compared to those of a standard harmonic oscillator. Additionally, we investigate the nonclassical properties and entanglement of DPACS under decoherence induced by interaction with a dissipative photon-loss environment.