Density-matrix operatorial solution of the non-Markovian master equation for quantum Brownian motion

Intravaia, Francesco; Maniscalco, Sabrina; Messina, A.

doi:10.1103/physreva.67.042108

Cited by 78 publications

(136 citation statements)

References 27 publications

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“…The former term ∆(t) is known as diffusion coefficient and is directly proportional to the reservoir temperature [1]. It is worth mentioning here that performing a secular approximation does not affect the non-Markovian short time dynamics of certain observables in the weak coupling limit [16]. In this paper we focus on the dynamics of one of such observables, namely the heating function.…”

Section: Master Equation For Qbmmentioning

confidence: 99%

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Environment-dependent dissipation in quantum Brownian motion

et al. 2009

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The dissipative dynamics of a quantum Brownian particle is studied for different types of environment. We derive analytic results for the time evolution of the mean energy of the system for Ohmic, sub-Ohmic and super-Ohmic environments, without performing the Markovian approximation. Our results allow to establish a direct link between the form of the environmental spectrum and the thermalization dynamics. This in turn leads to a natural explanation of the microscopic physical processes ruling the system time evolution both in the short-time non-Markovian region and in the long-time Markovian one. Our comparative study of thermalization for different environments sheds light on the physical contexts in which non-Markovian dissipation effects are dominant.

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Section: Master Equation For Qbmmentioning

confidence: 99%

“…The QBM model is one of the few models of open quantum systems amenable to an analytical solution [1,2,[8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24].…”

Section: Introductionmentioning

confidence: 99%

Environment-dependent dissipation in quantum Brownian motion

et al. 2009

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“…In the weak coupling and high temperature regime r(t) and Π(t) can be neglected [31]. In this case, and for times t ≪ t th , with t th the thermalization time, the approximate master equation describing the system dynamics is given by [32] …”

Section: A Non-markovian Master Equationmentioning

confidence: 99%

“…(5) in terms of the quantum characteristic function was derived in Ref. [8]. The corresponding Wigner function is written as the sum of three terms: two describing the evolution of the peaks and one giving the interference term dynamics [32].…”

Section: Controlling Decoherence Via Reservoir Engineeringmentioning

confidence: 99%

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Decoherence control in different environments

Paavola

Maniscalco

2010

Phys. Rev. A

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We investigate two techniques for controlling decoherence, focusing on the crucial role played by the environmental spectrum. We show how environments with different spectra lead to very different dynamical behaviours. Our study clearly proves that such differences must be taken into account when designing decoherence control schemes. The two techniques we consider are reservoir engineering and quantum-Zeno control. We focus on a quantum harmonic oscillator initially prepared in a nonclassical state and derive analytically its non-Markovian dynamics in presence of different bosonic thermal environments. On the one hand we show how, by modifying the spectrum of the environment, it is possible to prolong or reduce the life of a Schrödinger cat state. On the other hand we study the effect of nonselective energy measurements on the degradation of quantumness of initial Fock states. In this latter case we see that the crossover between Zeno (QZE) and anti-Zeno (AZE) effects, discussed by Maniscalco et al. [Phys. Rev. Lett. 97, 130402 (2006)], is highly sensitive to the details of the spectrum. In particular, for certain types of spectra, even very small variations of the system frequency may cause a measurement-induced acceleration of decoherence rather than its inhibition.

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Optimal Control of Continuous Variable Quantum Dense Coding Under Bosonic Structured Environments

Yang

2014

Int J Theor Phys

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Density-matrix operatorial solution of the non-Markovian master equation for quantum Brownian motion

Cited by 78 publications

References 27 publications

Environment-dependent dissipation in quantum Brownian motion

Environment-dependent dissipation in quantum Brownian motion

Decoherence control in different environments

Optimal Control of Continuous Variable Quantum Dense Coding Under Bosonic Structured Environments

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