Quantum Markovian master equations: Resonance theory shows validity for all time scales

@article{Merkli2020QuantumMM,
  title={Quantum Markovian master equations: Resonance theory shows validity for all time scales},
  author={Marco Merkli},
  journal={Annals of Physics},
  year={2020}
}
  • M. Merkli
  • Published 6 August 2019
  • Physics, Mathematics
  • Annals of Physics
View PDF on arXiv
21 Citations
Highly Influential Citations
1
Background Citations
11
Methods Citations
3
Results Citations
2

21 Citations

Dynamics of Open Quantum Systems II, Markovian Approximation
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A finite quantum system S is coupled to a thermal, bosonic reservoir R. Initial SR states are possibly correlated, obtained by applying a quantum operation taken from a large class, to the uncoupled…
Derivation of the Redfield Quantum Master Equation and Corrections to It by the Bogoliubov Method
  • A. Trushechkin
  • Physics
    Proceedings of the Steklov Institute of Mathematics
  • 2021
Abstract Following the ideas N. N. Bogoliubov used to derive the classical and quantum nonlinear kinetic equations, we derive the Redfield quantum linear master equation, which is widely used in the…
Perturbation Analysis of Quantum Reset Models
TLDR
This paper proves the existence of a unique steady state for the perturbed reset Lindbladian, analytic in the coupling constant, and analyzes the large times dynamics of the corresponding CPTP Markov semigroup that describes the approach to the steady state.
Completely positive master equation for arbitrary driving and small level spacing
TLDR
A recently derived Markovian coarse-grained master equation (CGME), already known to be completely positive, has a much expanded range of applicability compared to the Davies equation, and moreover, is locally generated and can be generalized to accommodate arbitrarily fast driving.
Dynamics of Open Quantum Systems I, Oscillation and Decay
We develop a framework to analyze the dynamics of a finite-dimensional quantum system S in contact with a reservoir R. The full, interacting SR dynamics is unitary. The reservoir has a stationary…
Steady state in ultrastrong coupling regime: perturbative expansion and first orders
Understanding better the dynamics and steady states of systems strongly coupled to thermal baths is a great theoretical challenge with promising applications in several fields of quantum technologies.…
Unified Gorini-Kossakowski-Lindblad-Sudarshan quantum master equation beyond the secular approximation
Derivation of a quantum master equation for a system weakly coupled to a bath which takes into account nonsecular effects, but nevertheless has the mathematically correct Gorini–Kossakowski–…
Hamiltonian of mean force in the weak-coupling and high-temperature approximations and refined quantum master equations
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 bath is…
Steady state in ultrastrong coupling regime: expansion and first orders
Understanding better the dynamics and steady states of systems strongly coupled to thermal baths is a great theoretical challenge with promising applications in several fields of quantum technologies.…
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References

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