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The Observables of a Dissipative Quantum System

2011/02/08 by Dariusz Chruściński, Paolo Facchi, G. Marmo +2
Computer Science · Mathematics · Physics and Astronomy · #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum optics and atomic interactions #math-ph #math.MP #quant-ph

paper · pdf · doi:10.1142/s1230161212500023

published as Open Systems & Information Dynamics 19 (2012) 1250002 · 4 pages

arxiv created 2011/02/08 · openalex publication_date 2012/03/01 · arxiv updated 2012/05/07 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

A time-dependent product is introduced between the observables of a dissipative quantum system, that accounts for the effects of dissipation on observables and commutators. In the t → ∞ limit this yields a contracted algebra. This product can be transported back by duality on the space of states. The general ideas are corroborated by a few explicit examples.

Citations