A Tutorial on Quantum Master Equations: Tips and tricks for quantum optics, quantum computing and beyond

F Campaioli, JH Cole, H Hapuarachchi - arXiv preprint arXiv:2303.16449, 2023 - arxiv.org
Quantum master equations are an invaluable tool to model the dynamics of a plethora of
microscopic systems, ranging from quantum optics and quantum information processing, to …

Toward exact predictions of spin-phonon relaxation times: An ab initio implementation of open quantum systems theory

A Lunghi - Science Advances, 2022 - science.org
Spin-phonon coupling is the main driver of spin relaxation and decoherence in solid-state
semiconductors at finite temperature. Controlling this interaction is a central problem for …

Canonically consistent quantum master equation

T Becker, A Schnell, J Thingna - Physical Review Letters, 2022 - APS
We put forth a new class of quantum master equations that correctly reproduce the
asymptotic state of an open quantum system beyond the infinitesimally weak system-bath …

Decoherence and lead-induced interdot coupling in nonequilibrium electron transport through interacting quantum dots: A hierarchical quantum master equation …

R Haertle, G Cohen, DR Reichman, AJ Millis - Physical Review B, 2013 - APS
The interplay between interference effects and electron-electron interactions in electron
transport through an interacting double quantum dot system is investigated using a …

Unified diagrammatic approach to quantum transport in few-level junctions for bosonic and fermionic reservoirs: Application to the quantum Rabi model

L Magazzù, E Paladino, M Grifoni - Physical Review B, 2024 - APS
We apply the Nakajima-Zwanzig approach to open quantum systems to study steady-state
transport across generic multilevel junctions coupled to bosonic or fermionic reservoirs. The …

Vibrational instabilities in resonant electron transport through single-molecule junctions

R Härtle, M Thoss - Physical Review B—Condensed Matter and Materials …, 2011 - APS
We analyze various limits of vibrationally coupled resonant electron transport in single-
molecule junctions. Based on a master equation approach, we discuss analytic and …

Open quantum systems beyond Fermi's golden rule: Diagrammatic expansion of the steady-state time-convolutionless master equations

MS Ferguson, O Zilberberg, G Blatter - Physical Review Research, 2021 - APS
Steady-state observables, such as occupation numbers and currents, are crucial
experimental signatures in open quantum systems. The time-convolutionless (TCL) master …

Exact calculation of the time convolutionless master equation generator: Application to the nonequilibrium resonant level model

L Kidon, EY Wilner, E Rabani - The Journal of chemical physics, 2015 - pubs.aip.org
The generalized quantum master equation provides a powerful tool to describe the
dynamics in quantum impurity models driven away from equilibrium. Two complementary …

Thermoelectrics in Coulomb-coupled quantum dots: Cotunneling and energy-dependent lead couplings

N Walldorf, AP Jauho, K Kaasbjerg - Physical Review B, 2017 - APS
We study thermoelectric effects in Coulomb-coupled quantum-dot (CCQD) systems beyond
lowest-order tunneling processes and the often applied wide-band approximation. To this …

Time-dependent quantum transport: Causal superfermions, exact fermion-parity protected decay modes, and Pauli exclusion principle for mixed quantum states

RB Saptsov, MR Wegewijs - Physical Review B, 2014 - APS
We extend the recently developed causal superfermion approach to the real-time
diagrammatic transport theory to time-dependent decay problems. Its usefulness is …