2015
DOI: 10.1088/1674-1056/24/8/080304
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Population dynamics of excited atoms in non-Markovian environments at zero and finite temperature

Abstract: The population dynamics of a two-atom system, which is in two independent Lorentzian reservoirs or in two independent Ohmic reservoirs respectively, where the reservoirs are at zero temperature or finite temperature, is studied by using the time-convolutionless master-equation method. The influences of the characteristics and temperature of a non-Markovian environment on the population of the excited atoms are analyzed. We find that the population trapping of the excited atoms is related to the characteristics… Show more

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Cited by 5 publications
(5 citation statements)
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References 42 publications
(40 reference statements)
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“…If λ > 2γ 0 , the relaxation time is greater than the reservoir correlation time and the dynamical evolution of the system is essentially Markovian. For λ < 2γ 0 , the reservoir correlation time is greater than or of the same order as the relaxation time and non-Markovian effects become relevant [28,29,30]. When the spectrum is peaked on the frequency of the state |E 1− , i.e.…”
Section: Dissipative Jaynes-cummings Modelmentioning
confidence: 99%
“…If λ > 2γ 0 , the relaxation time is greater than the reservoir correlation time and the dynamical evolution of the system is essentially Markovian. For λ < 2γ 0 , the reservoir correlation time is greater than or of the same order as the relaxation time and non-Markovian effects become relevant [28,29,30]. When the spectrum is peaked on the frequency of the state |E 1− , i.e.…”
Section: Dissipative Jaynes-cummings Modelmentioning
confidence: 99%
“…For λ < 2γ 0 , the reservoir correlation time is greater than or of the same order as the relaxation time and non-Markovian effects become relevant. [27][28][29] When the spectrum is peaked on the frequency of the state |ϕ 1 ⟩, i.e., ω 1 = ω 0 − Ω , the decay rates for the two dressed states |ϕ 1 ⟩ and |ϕ 2 ⟩ are respectively expressed as [24] γ…”
Section: Dissipative Two-atom Systemmentioning
confidence: 99%
“…we can acquire the matrix elements at all times from (2) 11 (t) = a 11 11 11 (0), 12 (t) = a 12 12 12 (0), 13 (t) = a 13 13 13 (0), 22 (t) = a 22 22 22 (0), 23 (t) = a 23 23 23 (0),…”
Section: Two-atom System In Dissipative Cavitiesmentioning
confidence: 99%
“…Sinayskiy et al [21] analyzed the population dynamics of an initial state of the system in the Ohmic reservoirs by the time-convolutionless master-equation method. Zou and Fang [22] investigate the population of excited atoms in Lorentzian reservoirs and Ohmic reservoirs at zero and finite temperature by the time-convolutionless masterequation method. The authors in Ref.…”
Section: Introductionmentioning
confidence: 99%