Path-integral methodology and simulations of quantum thermal transport: Full counting statistics approach

Kilgour, Michael; Agarwalla, Bijay Kumar; Segal, Dvira

doi:10.1063/1.5084949

Cited by 47 publications

(44 citation statements)

References 87 publications

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“…The nonequilibrium spin-boson model (NESB) serves as a toy model for exploring the role of anharmonicity in quantum thermal transport. Its transport characteristics have been extensively examined with different theoretical techniques; partial list includes [36][37][38][39][40][41][42][43] .…”

Section: Non-equilibrium Spin-boson Model: Tur Violation For Strumentioning

confidence: 99%

Thermodynamic uncertainty relation in thermal transport

et al. 2019

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We use the fundamental nonequilibrium steady state fluctuation symmetry and derive a condition on the validity of the thermodynamic uncertainty relation (TUR) in thermal transport problems, classical or quantum alike. We test this condition and study the breakdown of the TUR in different thermal transport junctions of bosonic and electronic degrees of freedom. First, we prove that the TUR is valid in harmonic oscillator junctions. In contrast, in the nonequilibrium spin-boson model, which realizes many-body effects, it is satisfied in the Markovian limit, but violations arise as we tune (reduce) the cutoff frequency of the thermal baths, thus observing non-Markovian dynamics. Finally, we consider heat transport by noninteracting electrons in a tight-binding chain model. Here we show that the TUR is feasibly violated by tuning e.g. the hybridization energy of the chain to the metal leads. These results manifest that the validity of the TUR relies on the statistics of the participating carriers, their interaction, and the nature of their couplings to the macroscopic contacts (metal electrodes, phonon baths).

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Section: Non-equilibrium Spin-boson Model: Tur Violation For Strumentioning

confidence: 99%

Thermodynamic uncertainty relation in thermal transport

et al. 2019

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“…Full counting statistics [13,14] involves the distribution of the number of transferred charges. Full counting statistics is an effective and powerful technique in quantum statistical mechanics [15,16]. Conventional transport measurements mainly focused on the average current (the first order cumulant).…”

Section: Introductionmentioning

confidence: 99%

Suppression of shot noise in a spin–orbit coupled quantum dot

et al. 2021

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We study theoretically the transport properties of electrons in a quantum dot system with spin–orbit coupling. By using the quantum master equation approach, the shot noise and skewness of the transport electrons are calculated. We obtain super-Poisson noise behaviour by investigating the full counting statistics of the transport system. We discover super-Poisson behaviour is more obvious with the spin polarization increasing. More importantly, we discover the suppression of shot noise induced by spin–orbit coupling. The value of shot noise is gradually decreasing when spin–orbit coupling strength increases.

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“…[32][33][34] the authors start from the generating function of the heat current to study its first moment. Numerical studies include simulations based on hierarchical equations of motion [35][36][37][38][39][40] the quasiadiabatic propagator path integral (QuAPI) [41,42], the iterative full counting statistics path integral [43], the multiconfiguration time-dependent Hartree (MCTDH) approach [44], the stochastic Liouvillian algorithm [45], and other Monte Carlo approaches [46]. Other recent contributions are Refs.…”

Section: Introductionmentioning

confidence: 99%

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

2020

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We study the heat current flowing between two baths consisting of harmonic oscillators interacting with a qubit through a spin-boson coupling. An explicit expression for the generating function of the total heat flowing between the right and left baths is derived by evaluating the corresponding Feynman-Vernon path integral by performing the noninteracting blip approximation (NIBA). We recover the known expression, obtained by using the polaron transform. This generating function satisfies the Gallavotti-Cohen fluctuation theorem, both before and after performing the NIBA. We also verify that the heat conductance is proportional to the variance of the heat current, retrieving the well-known fluctuation dissipation relation. Finally, we present numerical results for the heat current.

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Path-integral methodology and simulations of quantum thermal transport: Full counting statistics approach

Cited by 47 publications

References 87 publications

Thermodynamic uncertainty relation in thermal transport

Thermodynamic uncertainty relation in thermal transport

Suppression of shot noise in a spin–orbit coupled quantum dot

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

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