Heat transfer in a nonequilibrium spin-boson model: A perturbative approach

Wu, Wei; Wen-li, Zhu

doi:10.1016/j.aop.2020.168203

Cited by 6 publications

(2 citation statements)

References 66 publications

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“…( 11) can be expanded in powers of the interaction Liouvillian Li . Only retaining the lowest-order term in the series, Σ(t) can be approximated as [54,55,68]…”

Section: B Gbementioning

confidence: 99%

Quantum parameter estimation in a dissipative environment

Shi

2020

Phys. Rev. A

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We investigate the performance of quantum parameter estimation based on a qubit-probe in a dissipative bosonic environment beyond the traditional paradigm of weak-coupling and rotating wave approximations. By making use of an exactly numerical hierarchical equations of motion method, we analyze the influences of the non-Markovian memory effect induced by the environment and the form of probe-environment interaction on the estimation precision. It is found that (i) the non-Markovainity can effectively boost the estimation performance; and (ii) the estimation precision can be improved by introducing a perpendicular probe-environment interaction. Our results indicate the scheme of parameter estimation in a noisy environment can be optimized via engineering the decoherence mechanism.

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“…( 11) can be expanded in powers of the interaction Liouvillian Li . Only retaining the lowest-order term in the series, Σ(t) can be approximated as [54,55,68]…”

Section: B Gbementioning

confidence: 99%

Quantum parameter estimation in a dissipative environment

Shi

2020

Phys. Rev. A

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“…Furthermore, the NESB model has been studied extensively using perturbative and numerically-exact techniques; a partial list includes Refs. 20,[30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][47][48] .…”

Section: Introductionmentioning

confidence: 99%

Quantum Thermal Transport Beyond Second Order with the Reaction Coordinate Mapping

Anto-Sztrikacs,

Ivander,

Segal

2022

Preprint

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Standard quantum master equation techniques such as the Redfield or Lindblad equations are perturbative to second order in the microscopic system-reservoir coupling parameter λ . As a result, characteristics of dissipative systems, which are beyond second order in λ , are not captured by such tools. Moreover, if the leading order in the studied effect is higher-than-quadratic in λ , a second-order description fundamentally fails even at weak coupling. Here, using the reaction coordinate (RC) quantum master equation framework, we are able to investigate and classify higherthan-second order transport mechanisms. This technique, which relies on the redefinition of the system-environment boundary, allows for the effects of system-bath coupling to be included to high orders. We study steady-state heat current beyond second-order in two models: The generalized spin-boson model with non-commuting system-bath operators and a three-level ladder system. In the latter model heat enters in one transition and it is extracted from a different one. Crucially, we identify two transport pathways: (i) System's current, where heat conduction is mediated by transitions in the system, with the heat current scaling as j q ∝ λ 2 to lowest order in λ . (ii) Inter-bath current, with the thermal baths directly exchanging energy between them, facilitated by the bridging quantum system. To the lowest order in λ , this current scales as j q ∝ λ 4 . These mechanisms are uncovered and examined using numerical and analytical tools. We contend that the RC mapping brings already at the level of the mapped Hamiltonian much insights on transport characteristics.

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Quantum bath effects on nonequilibrium heat transport in model molecular junctions

Carpio‐Martínez

Hanna

2021

The Journal of Chemical Physics

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Quantum–classical dynamics simulations enable the study of nonequilibrium heat transport in realistic models of molecules coupled to thermal baths. In these simulations, the initial conditions of the bath degrees of freedom are typically sampled from classical distributions. Herein, we investigate the effects of sampling the initial conditions of the thermal baths from quantum and classical distributions on the steady-state heat current in the nonequilibrium spin-boson model—a prototypical model of a single-molecule junction—in different parameter regimes. For a broad range of parameter regimes considered, we find that the steady-state heat currents are ∼1.3–4.5 times larger with the classical bath sampling than with the quantum bath sampling. Using both types of sampling, the steady-state heat currents exhibit turnovers as a function of the bath reorganization energy, with sharper turnovers in the classical case than in the quantum case and different temperature dependencies of the turnover maxima. As the temperature gap between the hot and cold baths increases, we observe an increasing difference in the steady-state heat currents obtained with the classical and quantum bath sampling. In general, as the bath temperatures are increased, the differences between the results of the classical and quantum bath sampling decrease but remain non-negligible at the high bath temperatures. The differences are attributed to the more pronounced temperature dependence of the classical distribution compared to the quantum one. Moreover, we find that the steady-state fluctuation theorem only holds for this model in the Markovian regime when quantum bath sampling is used. Altogether, our results highlight the importance of quantum bath sampling in quantum–classical dynamics simulations of quantum heat transport.

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Heat transfer in a nonequilibrium spin-boson model: A perturbative approach

Cited by 6 publications

References 66 publications

Quantum parameter estimation in a dissipative environment

Quantum parameter estimation in a dissipative environment

Quantum Thermal Transport Beyond Second Order with the Reaction Coordinate Mapping

Quantum bath effects on nonequilibrium heat transport in model molecular junctions

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