Feynman, Wigner, and Hamiltonian structures describing the dynamics of open quantum systems

DOI10.1134/S1064562414010190zbMath1295.81097arXiv1403.7172WikidataQ61948650 ScholiaQ61948650MaRDI QIDQ403935

O. G. Smolyanov, Tudor S. Ratiu, John E. Gough

Publication date: 29 August 2014

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.7172

Mathematics Subject Classification ID

Open systems, reduced dynamics, master equations, decoherence (81S22) Quantum control (81Q93)

Related Items (7)

A phase-space formulation and Gaussian approximation of the filtering equations for nonlinear quantum stochastic systems ⋮ Wigner measures and quantum control ⋮ Wigner measures and coherent quantum control ⋮ Reduced dynamics of the Wigner function ⋮ Wigner function of open quantum system ⋮ Wigner quantization of Hamilton-Dirac systems ⋮ Feynman approximations of the dynamics of the Wigner function

Cites Work

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• Hamiltonian and Feynman aspects of secondary quantization
• Wigner measures on infinite-dimensional spaces and the Bogolyubov equations for quantum systems
• Reduced dynamics of subsystems of quantum systems with quadratic Hamiltonians
• Properties of infinite dimensional Hamiltonian systems
• Hamiltonian aspects of quantum theory
• One-Parameter Semigroups for Linear Evolution Equations
• Principles and applications of quantum control engineering

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