An Entropic Gradient Structure for Lindblad Equations and Couplings of Quantum Systems to Macroscopic Models

An Analog of the 2-Wasserstein Metric in Non-Commutative Probability Under Which the Fermionic Fokker–Planck Equation is Gradient Flow for the Entropy

(2014) Eric A. Carlen et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Symmetries and conserved quantities in Lindblad master equations

(2014) Victor V. Albert et al.   PHYSICAL REVIEW A

On the Relation between Gradient Flows and the Large-Deviation Principle, with Applications to Markov Chains and Diffusion

(2014) A. Mielke et al.   POTENTIAL ANALYSIS

Entropic Fluctuations of Quantum Dynamical Semigroups

(2013) V. Jakšić et al.   JOURNAL OF STATISTICAL PHYSICS

GENERIC formalism of a Vlasov–Fokker–Planck equation and connection to large-deviation principles

(2013) Manh Hong Duong et al.   NONLINEARITY

Ricci Curvature of Finite Markov Chains via Convexity of the Entropy

(2012) Matthias Erbar et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

Geodesic convexity of the relative entropy in reversible Markov chains

(2012) Alexander Mielke   CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS

THE STRUCTURES OF STATE SPACE CONCERNING QUANTUM DYNAMICAL SEMIGROUPS

(2012) BERNHARD BAUMGARTNER et al.   REVIEWS IN MATHEMATICAL PHYSICS

Fokker–Planck Equations for a Free Energy Functional or Markov Process on a Graph

(2011) Shui-Nee Chow et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

Formulation of thermoelastic dissipative material behavior using GENERIC

(2011) Alexander Mielke   CONTINUUM MECHANICS AND THERMODYNAMICS

The geometry and thermodynamics of dissipative quantum systems

(2011) Hans Christian Öttinger   EPL

Gradient flows of the entropy for finite Markov chains

(2011) Jan Maas   JOURNAL OF FUNCTIONAL ANALYSIS

A gradient structure for reaction–diffusion systems and for energy-drift-diffusion systems

(2011) Alexander Mielke   NONLINEARITY

Emission properties and photon statistics of a single quantum dot laser

(2010) S. Ritter et al.   OPTICS EXPRESS

Nonlinear thermodynamic quantum master equation: Properties and examples

(2010) Hans Christian Öttinger   PHYSICAL REVIEW A

Analysis of quantum semigroups with GKS–Lindblad generators: I. Simple generators

(2008) Bernhard Baumgartner et al.   Journal of Physics A-Mathematical and Theoretical

Analysis of quantum semigroups with GKS–Lindblad generators: II. General

(2008) Bernhard Baumgartner et al.   Journal of Physics A-Mathematical and Theoretical