Irreversible quantum evolution with quadratic generator
AE Teretenkov - … Analysis, Quantum Probability and Related Topics, 2019 - World Scientific
We review results on GKSL-type equations with multi-modal generators which are quadratic
in bosonic or fermionic creation and annihilation operators. General forms of such equations …
in bosonic or fermionic creation and annihilation operators. General forms of such equations …
Open quantum system dynamics and the mean force Gibbs state
The dynamical convergence of a system to the thermal distribution, or Gibbs state, is a
standard assumption across all of the physical sciences. The Gibbs state is determined just …
standard assumption across all of the physical sciences. The Gibbs state is determined just …
[图书][B] Nonlinear Markov processes and kinetic equations
VN Kolokoltsov - 2010 - books.google.com
A nonlinear Markov evolution is a dynamical system generated by a measure-valued
ordinary differential equation with the specific feature of preserving positivity. This feature …
ordinary differential equation with the specific feature of preserving positivity. This feature …
Structure of uniformly continuous quantum Markov semigroups
The structure of uniformly continuous quantum Markov semigroups with atomic decoherence-
free subalgebra is established providing a natural decomposition of a Markovian open …
free subalgebra is established providing a natural decomposition of a Markovian open …
Calculation of coherences in Förster and modified Redfield theories of excitation energy transfer
A Trushechkin - The Journal of chemical physics, 2019 - pubs.aip.org
Förster and modified Redfield theories play one of the central roles in the description of
excitation energy transfer in molecular systems. However, in the present state, these …
excitation energy transfer in molecular systems. However, in the present state, these …
Quantum Markov chains: A unification approach
L Accardi, A Souissi, EG Soueidy - Infinite Dimensional Analysis …, 2020 - World Scientific
In this paper, we study a unified approach for quantum Markov chains (QMCs). A new
quantum Markov property that generalizes the old one, is discussed. We introduce Markov …
quantum Markov property that generalizes the old one, is discussed. We introduce Markov …
Higher-order corrections to the Redfield equation with respect to the system-bath coupling based on the hierarchical equations of motion
AS Trushechkin - Lobachevskii Journal of Mathematics, 2019 - Springer
The Redfield equation describes the dynamics of a quantum system weakly coupled to one
or more reservoirs and is widely used in theory of open quantum system. However, the …
or more reservoirs and is widely used in theory of open quantum system. However, the …
[PDF][PDF] Hilbert modules and applications in quantum probability
M Skeide - preprint of a book, 2001 - unimol.it
In these notes we treat problems related to that part of quantum probability dealing with the
theory of dilations of semigroups of completely positive mappings on a unital C∗–algebra …
theory of dilations of semigroups of completely positive mappings on a unital C∗–algebra …
Flows in non-equilibrium quantum systems and quantum photosynthesis
A three-level quantum system interacting with non-equilibrium environment is investigated.
The stationary state of the system is found (both for non-coherent and coherent environment) …
The stationary state of the system is found (both for non-coherent and coherent environment) …
[图书][B] Quantum stochastics
MH Chang - 2015 - books.google.com
The classical probability theory initiated by Kolmogorov and its quantum counterpart,
pioneered by von Neumann, were created at about the same time in the 1930s, but …
pioneered by von Neumann, were created at about the same time in the 1930s, but …