Noether’s theorem for dissipative quantum dynamical semi-groups

DOI10.1063/1.4907985zbMath1311.81161arXiv1410.7711OpenAlexW2024743898WikidataQ61948642 ScholiaQ61948642MaRDI QIDQ5178169

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

Publication date: 13 March 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.7711

zbMATH Keywords

quantum dynamical semigroupopen quantum systemfixed point spaceinvariant observables

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Markov semigroups and applications to diffusion processes (47D07) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Open systems, reduced dynamics, master equations, decoherence (81S22)

Related Items (4)

Noether theorems and quantum anomalies ⋮ Symmetries versus conservation laws in dynamical quantum systems: a unifying approach through propagation of fixed points ⋮ A Noether theorem for stochastic operators on Schatten classes ⋮ Information geometry and local asymptotic normality for multi-parameter estimation of quantum Markov dynamics

Cites Work

• Long-time asymptotic properties of dynamical semigroups on W*-algebras
• On the generators of quantum dynamical semigroups
• Defining quantum dynamical entropy
• A Yang–Mills Inequality for Compact Surfaces
• Completely positive dynamical semigroups of N-level systems
• Notes on the Qualitative Behaviour of Quantum Markov Semigroups
• A Noether theorem for Markov processes

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