21 Citations
Dynamics of Open Quantum Systems II, Markovian Approximation
- Mathematics, PhysicsQuantum
- 2022
A finite-dimensional quantum system is coupled to a bath of oscillators in thermal equilibrium at temperature T>0. We show that for fixed, small values of the coupling constant λ, the true reduced…
Correlation decay and Markovianity in open systems
- Physics
- 2021
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
- PhysicsProceedings 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
- MathematicsJournal of statistical physics
- 2021
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
- MathematicsQuantum
- 2020
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
- Physics, MathematicsQuantum
- 2022
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
- Physics
- 2021
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
- Physics, MathematicsPhysical Review A
- 2021
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
- PhysicsInternational Journal of Modern Physics A
- 2022
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
- Physics
- 2021
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.…
References
SHOWING 1-10 OF 64 REFERENCES
A Resonance Theory for Open Quantum Systems with Time-Dependent Dynamics
- Physics
- 2009
We develop a resonance theory to describe the evolution of open systems with time-dependent dynamics. Our approach is based on piecewise constant Hamiltonians: we represent the evolution on each…
Markovian master equations: a critical study
- Physics, Mathematics
- 2010
The results of these illustrative examples serve to clarify the general properties of other open quantum system scenarios subject to treatment within a Markovian approximation, and assess the robustness of the assumptions usually made in the process of deriving the reduced Markovians.
On the irreversible dynamics emerging from quantum resonances
- Physics, Mathematics
- 2015
We consider the dynamics of quantum systems which possess stationary states as well as slowly decaying, metastable states arising from the perturbation of bound states. We give a decomposition of the…
Preservation of positivity by dynamical coarse graining
- Physics
- 2008
We compare different quantum master equations for the time evolution of the reduced density matrix. The widely applied secular approximation (rotating wave approximation) applied in combination with…
Refined weak-coupling limit: Coherence, entanglement, and non-Markovianity
- Physics
- 2016
We study the properties of a refined weak coupling limit that preserves complete positivity in order to describe non-Markovian dynamics in the spin-boson model. With this tool, we show the system…
Quantum Dynamical Semigroups and Applications
- Physics
- 1987
In this text the authors develop quantum dynamics of open systems for a wide class of irreversible processes starting from the concept of completely positive semigroups. This unified approach makes…
Markovian master equations
- Mathematics, Physics
- 1974
We give a rigorous proof that under certain technical conditions the memory effects in a quantum-mechanical master equation become negligible in the weak coupling limit. This is sufficient to show…
Fermionic reaction coordinates and their application to an autonomous Maxwell demon in the strong coupling regime
- Physics
- 2018
We establish a theoretical method which goes beyond the weak-coupling and Markovian approximations while remaining intuitive, using a quantum master equation in a larger Hilbert space. The method is…
OPEN QUANTUM DYNAMICS: COMPLETE POSITIVITY AND ENTANGLEMENT
- Physics
- 2005
We review the standard treatment of open quantum systems in relation to quantum entanglement, analyzing, in particular, the behavior of bipartite systems immersed in the same environment. We first…