Quantum master equations and steady states for the ultrastrong-coupling limit and the strong-decoherence limit

A Trushechkin - Physical Review A, 2022 - APS
In the framework of the theory of open quantum systems, we derive quantum master
equations for the ultrastrong system-bath coupling regime and, more generally, the strong …

Optimal control for quantum optimization of closed and open systems

LC Venuti, D D'Alessandro, DA Lidar - Physical Review Applied, 2021 - APS
Optimization is one of the key applications of quantum computing where a quantum
speedup has been an eagerly anticipated outcome. A promising approach to optimization …

Invalidation of the Bloch-Redfield equation in the sub-Ohmic regime via a practical time-convolutionless fourth-order master equation

E Crowder, L Lampert, G Manchanda, B Shoffeitt… - Physical Review A, 2024 - APS
Despite recent advances in quantum sciences, a quantum master equation that accurately
and simply characterizes open quantum dynamics across extremely long timescales and in …

Unification of the first law of quantum thermodynamics

R Dann, R Kosloff - New Journal of Physics, 2023 - iopscience.iop.org
Underlying the classical thermodynamic principles are analogous microscopic laws, arising
from the fundamental axioms of quantum mechanics. These define quantum thermodynamic …

Hamiltonian of mean force in the weak-coupling and high-temperature approximations and refined quantum master equations

GM Timofeev, AS Trushechkin - International Journal of Modern …, 2022 - World Scientific
The Hamiltonian of mean force is a widely used concept to describe the modification of the
usual canonical Gibbs state for a quantum system whose coupling strength with the thermal …

Markovian and non-Markovian master equations versus an exactly solvable model of a qubit in a cavity

Z **a, J Garcia-Nila, DA Lidar - Physical Review Applied, 2024 - APS
Quantum master equations are commonly used to model the dynamics of open quantum
systems, but their accuracy is rarely compared with the analytical solution of exactly solvable …

Geometric-arithmetic master equation in large and fast open quantum systems

D Davidović - Journal of Physics A: Mathematical and Theoretical, 2022 - iopscience.iop.org
Understanding nonsecular dynamics in open quantum systems is addressed here, with
emphasis on systems with large numbers of Bohr frequencies, zero temperature, and fast …

Dynamics of the nonequilibrium spin-boson model: A benchmark of master equations and their validity

G Suárez, M Łobejko, M Horodecki - Physical Review A, 2024 - APS
In recent years, there has been tremendous focus on identifying whether effective
descriptions of open quantum systems such as master equations can accurately describe …

Non-Markovian dynamics under time-translation symmetry

R Dann, N Megier, R Kosloff - Physical Review Research, 2022 - APS
A dynamical symmetry is employed to determine the structure of the quantum non-
Markovian time-local master equation. Such a structure is composed from two components …

Quantum thermo-dynamical construction for driven open quantum systems

R Dann, R Kosloff - Quantum, 2021 - quantum-journal.org
Quantum dynamics of driven open systems should be compatible with both quantum
mechanic and thermodynamic principles. By formulating the thermodynamic principles in …