Non-Markovian master equation for quantum transport of fermionic carriers

Maksimov D.N.; Aksenov S.V.; Kolovsky A.R.

Дополнительные ссылки: eLibrary

База данных: Каталог библиотеки СФУ

Библиографическое описание: Non-Markovian master equation for quantum transport of fermionic carriers : научное издание / D. N. Maksimov, S. V. Aksenov, A. R. Kolovsky. - Текст : непосредственный // Journal of Physics: Condensed Matter. - 2024. - Т. 36, № 4. - С. 045301. - ISSN 0953-8984. - ISSN 1361-648X, DOI 10.1088/1361-648x/ad0351.

Аннотация: Abstract We propose a simple, yet feasible, model for quantum transport of fermionic carriers across tight-binding chain connecting two reservoirs maintained at arbitrary temperatures and chemical potentials. The model allows for elementary derivation of the master equation for the reduced single particle density matrix (SPDM) in a closed form in both Markov and Born approximations. In the Markov approximation the master equation is solved analytically, whereas in the Born approximation the problem is reduced to an algebraic equation for the SPDM in the Redfield form. The non-Markovian equation is shown to lead to resonant transport similar to Landauer’s conductance. It is shown that in the deep non-Markovian regime the transport current can be matched with that obtained by the non-equilibrium Green’s function method.

Год издания: 2024

Авторы: Maksimov D.N., Aksenov S.V., Kolovsky A.R.

Издательство: Institute of Physics and IOP Publishing Limited

Источник: Journal of Physics: Condensed Matter

Выпуск: Т. 36, № 4

Номера страниц: 045301

Количество экземпляров:

Твёрдая копия издания отсутствует в фонде библиотеки

Показать дополнительные сведения

Deriving Landauer's formula by using the master equation approach : статья из журнала

Kolovsky Andrey R.
2024 год

Quantum State of the Fermionic Carriers in a Transport Channel Connecting Particle Reservoirs : научное издание

Kolovsky Andrey R. и др.
2019 год

Resonant transmission of fermionic carriers: Comparison between solid-state physics and quantum… : научное издание

Kolovsky Andrey R. и др.
2021 год

Conservative second-order monotonic numerical method for solving two-dimensional continuity equation : научное издание

Shaydurov Vladimir V. и др.
2025 год

Signatures of quantum chaos and fermionization in the incoherent transport of bosonic carriers in… : научное издание

Muraev P.S. и др.
2024 год

Master equation approach to conductivity of bosonic and fermionic carriers in one- and two… : статья из журнала

Kolovsky A.R.
2014 год

On the Existence of Solution of Some Inverse Problem for the Elliptic Equation : статья из журнала

Lyubanova Anna и др.
2026 год

Successive Approximation for the Inhomogeneous Burgers Equation : статья из журнала

Mera Azal и др.
2018 год

An Inverse Problem for a Quasilinear Elliptic Equation : научное издание

Lyubanova A. Sh. и др.
2023 год

Landauer-Buttiker equation for bosonic carriers : сборник научных трудов

Kolovsky Andrey R. и др.
2018 год

On the Cauchy Problem for the Biharmonic Equation : статья из журнала

Shodiev Dilshod
2022 год

A Classical Limit for the Dirac Equation in the Context of Magueijo-Smolin Model of the Doubly… : статья из журнала

Haouam Ilyas
2024 год

A Conservative Semi-Lagrangian Method for a Continuity Equation with Various Time Steps in… : статья из журнала

Vyatkin A. V. и др.
2024 год

Temporal Causal Reasoning with (Non-Recursive) Structural Equation Models : научное издание

Gladyshev Maksim и др.
2025 год

An identification problem of coefficient for two-dimensional semilinear parabolic equation with… : статья из журнала

Kriger E.N. и др.
2015 год

Linear inverse problems for the heat equation and non-local boundary value problems with… : научное издание

Kozhanov A. I. и др.
2023 год

Библиотечно-издательский комплекс СФУ

Non-Markovian master equation for quantum transport of fermionic carriers
статья из журнала

Похожие публикации