Fractional generalization of the quantum Markovian master equation

DOI10.1007/s11232-009-0015-5zbMath1176.81070arXiv0909.0965OpenAlexW1990615645MaRDI QIDQ1034411

Vasily E. Tarasov

Publication date: 6 November 2009

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.0965

zbMATH Keywords

completely positive semigroupfractional power of an operatornon-Hamiltonian quantum systemquantum Markovian equation

Mathematics Subject Classification ID

Markov processes (60J99) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57) Open systems, reduced dynamics, master equations, decoherence (81S22)

Related Items (8)

Time-dependent fractional dynamics with memory in quantum and economic physics ⋮ Quantum dissipation from power-law memory ⋮ The effect of time fractality on the transition coefficients: historical Stern-Gerlach experiment revisited ⋮ Non-Markovian dynamics of open quantum system with memory ⋮ Generalized diffusion equation with fractional derivatives within Renyi statistics ⋮ The time independent fractional Schrödinger equation with position-dependent mass ⋮ REVIEW OF SOME PROMISING FRACTIONAL PHYSICAL MODELS ⋮ Fractional quantum field theory: from lattice to continuum

Uses Software

• Isar

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fractional Heisenberg equation
• General state changes in quantum theory
• The domain algebra of a CP-semigroup.
• Quantum dynamical semigroups and applications. (Based on Lectures given at the 20th Symposium on Theoretical Chemistry held 1984 in Emmetten, Switzerland)
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• On the generators of quantum dynamical semigroups
• Brownian motion of a quantum harmonic oscillator
• An algebraic condition for the approach to equilibrium of an open N-level system
• Quantum dynamical semigroups and the neutron diffusion equation
• Properties of quantum Markovian master equations
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Chaos, fractional kinetics, and anomalous transport
• Fractional generalization of Kac integral
• Pure operations and measurements
• Operations and measurements. II
• Quantum stochastic processes. II
• PHASE SPACE REPRESENTATION FOR OPEN QUANTUM SYSTEMS WITHIN THE LINDBLAD THEORY
• FRACTIONAL DERIVATIVE AS FRACTIONAL POWER OF DERIVATIVE
• Path integral for quantum operations
• Quantum computer with mixed states and four-valued logic
• Asymptotic solutions of Lindblad equations
• The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
• Fractional kinetic equations: solutions and applications
• Fractional generalization of gradient and Hamiltonian systems
• Fractional variations for dynamical systems: Hamilton and Lagrange approaches
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

This page was built for publication: Fractional generalization of the quantum Markovian master equation