Abstract
By using the solution of the equation for density operator of the single-mode cavity driven by an oscillating external field in the thermal bath (Master equation) and the coherent representation of the initial Wigner operator we derive time evolution of Wigner operator with a direct approach. For an initial state known as quasi-classical state, we extract time evolution of some quasi-probability functions. In order to study the effects of external field on the behavior of the single-mode cavity we analyze these distribution functions and their relation with the nature of damping in the thermal bath.
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References
Restrepo, J., Ciuti, C., Favero, I.: Single-polariton optomechanics. Phys. Rev. Lett. 112(1), 013601 (2014)
Meng, X.-G., Wang, J.-S., Gao, H.-C.: Kraus operator-sum solution to the master equation describing the single-mode cavity driven by an oscillating external field in the heat reservoir. Int. J. Theor. Phys. 55(8), 3630–3636 (2016)
Scully, M.O., Zubairy, M.S.: Quantum Optics, p. 630. Cambridge University Press (1997)
Orszag, M.: “Quantum Optics: Including Noise Reduction, Trapped Ions,” Quantum Trajectories and Decoherence, p. 2000. Springer, Berlin (2000)
Walls, D.F., Milburn, G.J.: Quantum Optics. Springer Science & Business Media (2007)
Carmichael, H.J.: Statistical Methods in Quantum Optics 1:Master Equations and Fokker-Planck Equations. Springer Science & Business Media (2009)
Kraus, K.: States, Effects and Operations: Fundamental Notions of Quantum Theory. Springer (1983)
Chen, F., Fan, H.: A new approach to the time evolution of characteristic function of the density operator obtained by virtue of thermal entangled state representation. Sci. China Physics, Mech. Astron. 55(11), 2076–2080 (2012)
Fan, H., Fan, Y.: New representation for thermo excitation and de-excitation in thermofield dynamics☆. Phys. Lett. A. 282(4–5), 269–275 (2001)
Fan, H., Hu, L.: Operator-sum representation of density operators as solutions to master equations obtained via the entangled state approach. Mod. Phys. Lett. B. 22(25), 2435–2468 (2008)
Wigner, E.: On the quantum correction for thermodynamic equilibrium. Phys. Rev. 40(5), 749–759 (1932)
Fan, H., Yuan, H., Jiang, N.: Deriving new operator identities by alternately using normally, antinormally, and Weyl ordered integration technique. Sci. China Physics, Mech. Astron. 53(9), 1626–1630 (2010)
Fan, H., Zhou, J.: Coherent state and normal ordering method for transiting Hermite polynomials to Laguerre polynomials. Sci. China Physics, Mech. Astron. 55(4), 605–608 (2012)
Gerry, C., Knight, P.: Introductory Quantum Optics. Cambridge university press (2005)
Shähandeh, F., Bazrafkan, M.R.: The general boson ordering problem and its combinatorial roots. Phys. Scr. 2013(T153), 14056 (2013)
Shähandeh, F., Bazrafkan, M.R.: General ordering problem and its combinatorial roots. J. Phys. A Math. Theor. 45(15), 155204 (2012)
Hu, L.-Y., Wang, Q., Wang, Z.-S., Xu, X.: Kraus operator-sum representation and time evolution of distribution functions in phase-sensitive reservoirs. Int. J. Theor. Phys. 51(2), 331–349 (2012)
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Dehestani, J. The Effects of an Oscillating External Field on the Damping Behavior of the Single-Mode Cavity in the Thermal Bath. Int J Theor Phys 58, 1603–1612 (2019). https://doi.org/10.1007/s10773-019-04055-1
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DOI: https://doi.org/10.1007/s10773-019-04055-1