Dynamically contracted algebra of observables for dissipative quantum systems

Abstract

A method is discussed to analyze the dynamics of a dissipative quantum system. The method hinges upon the definition of an alternative (time-dependent) product among the observables of the system. In the long time limit this yields a contracted algebra. This contraction irreversibly affects some of the quantum features of the dissipative system.

15 pages

References in corpus (3)

• Quantum Non-Markovianity: Characterization, Quantification and Detection
• Observation of Dicke Superradiance for Two Artificial Atoms in a Cavity with High Decay Rate
• Coherent quantum dynamics in steady-state manifolds of strongly dissipative systems

Cited by in corpus (7)

• Contact manifolds and dissipation, classical and quantum
• Asymptotics of quantum channels
• Can decay be ascribed to classical noise?
• Tensorial dynamics on the space of quantum states
• The quantum-to-classical transition: contraction of associative products
• Geometrical Structures for Classical and Quantum Probability Spaces
• Asymptotic Dynamics of Open Quantum Systems and Modular Theory