Large deviations and fluctuation theorem for the quantum heat current in the spin-boson model

Aurell, Erik; Donvil, Brecht; Mallick, Kirone

doi:10.1103/physreve.101.052116

Cited by 16 publications

(17 citation statements)

References 88 publications

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“…For κ = 100, the momentum degree of freedom has been thermalized [exp(−2τ ) ≈ 0 in Eq. (38)] while the coordinate degree of freedom remains frozen [exp[−2(ω 2 0 /κ 2 )τ ] ≈ 1 in Eq. (38)].…”

Section: Numerical Resultsmentioning

confidence: 99%

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Quantum-classical correspondence principle for heat distribution in quantum Brownian motion

Chen,

Qiu,

Quan

2021

Preprint

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Quantum Brownian motion, described by the Caldeira-Leggett model, brings insights to understand phenomena and essence of quantum thermodynamics, especially the quantum work and heat associated with their classical counterparts. By employing the phase-space formulation approach, we study the heat distribution of a relaxation process in the quantum Brownian motion model.The analytical result of the characteristic function of heat is obtained at any relaxation time with an arbitrary friction coefficient. By taking the classical limit, such a result approaches the heat distribution of the classical Brownian motion described by the Langevin equation, indicating the quantum-classical correspondence principle for heat distribution. We also demonstrate that the fluctuating heat at any relaxation time satisfies the exchange fluctuation theorem of heat, and its long-time limit reflects complete thermalization of the system. Our research brings justification for the definition of the quantum fluctuating heat via two-point measurements.

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Section: Numerical Resultsmentioning

confidence: 99%

“…(38)] while the coordinate degree of freedom remains frozen [exp[−2(ω 2 0 /κ 2 )τ ] ≈ 1 in Eq. (38)]. Thus, the distribution in the right-lower subfigure is different from the middle-lower subfigure.…”

Section: Numerical Resultsmentioning

confidence: 99%

Quantum-classical correspondence principle for heat distribution in quantum Brownian motion

Chen,

Qiu,

Quan

2021

Preprint

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“…Remarkably, the model was recently realized in superconducting quantum circuits demonstrating a thermal diode effect 17 . The heat current in the SB model displays a turnover behavior at strong coupling: While in the weak coupling limit the steady state heat current grows monotonically with the system-bath interaction energy, at strong coupling the current is suppressed [18][19][20][21][22][23] .…”

Section: Introductionmentioning

confidence: 99%

Strong coupling effects in quantum thermal transport with the reaction coordinate method

Anto-Sztrikacs,

Segal

2021

Preprint

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We present a semi-analytical approach for studying quantum thermal energy transport beyond the weak system-bath coupling regime. Our treatment, which results in a renormalized, effective Hamiltonian model is based on the reaction coordinate method. In our technique, applied to the nonequilibrium spin-boson model, a collective coordinate is extracted from each environment and added into the system to construct an enlarged system. After performing additional Hamiltonian's truncation and transformation, we attain an effective twolevel system with renormalized parameters, which is weakly coupled to its environments, thus can be simulated using a perturbative Markovian quantum master equation approach. We compare the heat current characteristics in our method to other techniques, and demonstrate that we properly capture strong system-bath signatures such as the turnover behavior of the heat current as a function of system-bath coupling strength. We further investigate the thermal diode effect and demonstrate that strong couplings moderately improve the rectification ratio relative to the weak coupling limit. The effective Hamiltonian method that we developed here offers fundamental insight into the strong coupling behavior, and is computationally economic. Applications of the method towards studying quantum thermal machines are anticipated.

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“…Compared to work statistics, heat statistics relevant to thermal transport associated with a nonequilibrium stationary state has been extensively studied [ 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 ], but the heat statistics in a finite-time quantum thermodynamic process [ 39 , 40 , 41 ] and its quantum–classical correspondence have been less explored. A challenge is that the precise description of the bath dynamics requires handling a huge number of degrees of freedom of the heat bath.…”

Section: Introductionmentioning

confidence: 99%

Quantum–Classical Correspondence Principle for Heat Distribution in Quantum Brownian Motion

Chen

Qiu

Quan

2021

Entropy

View full text Add to dashboard Cite

Quantum Brownian motion, described by the Caldeira–Leggett model, brings insights to the understanding of phenomena and essence of quantum thermodynamics, especially the quantum work and heat associated with their classical counterparts. By employing the phase-space formulation approach, we study the heat distribution of a relaxation process in the quantum Brownian motion model. The analytical result of the characteristic function of heat is obtained at any relaxation time with an arbitrary friction coefficient. By taking the classical limit, such a result approaches the heat distribution of the classical Brownian motion described by the Langevin equation, indicating the quantum–classical correspondence principle for heat distribution. We also demonstrate that the fluctuating heat at any relaxation time satisfies the exchange fluctuation theorem of heat and its long-time limit reflects the complete thermalization of the system. Our research study justifies the definition of the quantum fluctuating heat via two-point measurements.

show abstract

Large deviations and fluctuation theorem for the quantum heat current in the spin-boson model

Cited by 16 publications

References 88 publications

Quantum-classical correspondence principle for heat distribution in quantum Brownian motion

Quantum-classical correspondence principle for heat distribution in quantum Brownian motion

Strong coupling effects in quantum thermal transport with the reaction coordinate method

Quantum–Classical Correspondence Principle for Heat Distribution in Quantum Brownian Motion

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