Exact<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="italic">c</mml:mi></mml:math>-Number Representation of Non-Markovian Quantum Dissipation

Stockburger, Jürgen T.; Grabert, Hermann

doi:10.1103/physrevlett.88.170407

Cited by 256 publications

(266 citation statements)

References 22 publications

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“…An unraveling procedure then leads to the SLN [21,23], which for the driven spin-boson model acquires the forṁ…”

Section: A Stochastic Liouville-von Neumann Equationmentioning

confidence: 99%

“…1). Exact numerical simulations within the recently developed stochastic Liouville-von Neumann scheme (SLN) [21,22] are compared to perturbative ones obtained within a simple Lindblad type of master equation and a quantum jump treatment [2]. Analytical calculations allow for a qualitative and in certain cases also quantitative understanding of the driven quantum dynamics.…”

Section: Introductionmentioning

confidence: 99%

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Work and heat for two-level systems in dissipative environments: Strong driving and non-Markovian dynamics

et al. 2015

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Work, moments of work and heat flux are studied for the generic case of a strongly driven twolevel system immersed in a bosonic heat bath in domains of parameter space where perturbative treatments fail. This includes particularly the interplay between non-Markovian dynamics and moderate to strong external driving. Exact data are compared with predictions from weak coupling approaches. Further, the role of system-bath correlations in the initial thermal state and their impact on the heat flux are addressed. The relevance of these results for current experimental activities on solid state devices is discussed.

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“…An unraveling procedure then leads to the SLN [21,23], which for the driven spin-boson model acquires the forṁ…”

Section: A Stochastic Liouville-von Neumann Equationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Work and heat for two-level systems in dissipative environments: Strong driving and non-Markovian dynamics

et al. 2015

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“…The only difference is that now the coupling with the center involving both u L andu L . The result for the influence functional is given by [49] …”

Section: B the Expression For Hxmentioning

confidence: 99%

Full-counting statistics of heat transport in harmonic junctions: Transient, steady states, and fluctuation theorems

Agarwalla

Wang

2012

Phys. Rev. E

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We study the statistics of heat transferred in a given time interval tM , through a finite harmonic chain, called the center (C), which is connected with two heat baths, the left (L) and the right (R), that are maintained at two different temperatures. The center atoms are driven by an external time-dependent force. We calculate the cumulant generating function (CGF) for the heat transferred out of the left lead, QL, based on two-time measurement concept and using nonequilibrium Green's function (NEGF) method. The CGF can be concisely expressed in terms of Green's functions of the center and an argument-shifted self-energy of the lead. The expression of CGF is valid in both transient and steady state regimes. We consider three different initial conditions for the density operator and show numerically, for one-dimensional (1D) linear chains, how transient behavior differs from each other but finally approaches the same steady state, independent of the initial distributions. We also derive the CGF for the joint probability distribution P (QL, QR), and discuss the correlations between QL and QR. We calculate the total entropy flow to the reservoirs. In the steady state we explicitly show that the CGF obeys steady state fluctuation theorem (SSFT). Classical results are obtained by taking → 0. The method is also applied to the counting of the electron number and electron energy, for which the associated self-energy is obtained from the usual lead self-energy by multiplying a phase or shifting the contour time, respectively.

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“…[52][53][54] Since jai is defined as the eigenstate of the annihilation operator, we thus get haja 1 j 5a Ã j haj, in this case,…”

Section: The Mtdpwd Methodsmentioning

confidence: 99%

Time‐dependent wavepacket diffusion method and its applications in organic semiconductors

Han

Zhong

et al. 2014

Int J of Quantum Chemistry

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Although the carriers in organic semiconductors commonly follow the hopping-type motions caused by strong carrierphonon interactions, they can also present a band-like behavior in well-performed organic crystals. In this article, we review a unified model to describe the carrier dynamics covering from the hopping-type to band-like motions, the timedependent wavepacket diffusion method proposed in our group recently. In the method, the effects of vibrational motions of organic molecules and inter or intramolecular electronic couplings are considered as the fluctuations to the carrier dynamics. Numerical simulations demonstrate that the computational cost of present method is similar to that of mixed quantum-classical methods, but it overcomes the deficiency in those methods that the detailed balance principle is not satisfied. We further present how to combine electronic structure calculations and molecular dynamics simulations with the present model to reveal the carrier dynamics in realistic organic semiconductors.

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Exactc-Number Representation of Non-Markovian Quantum Dissipation

Cited by 256 publications

References 22 publications

Work and heat for two-level systems in dissipative environments: Strong driving and non-Markovian dynamics

Work and heat for two-level systems in dissipative environments: Strong driving and non-Markovian dynamics

Full-counting statistics of heat transport in harmonic junctions: Transient, steady states, and fluctuation theorems

Time‐dependent wavepacket diffusion method and its applications in organic semiconductors

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