Dynamical algebra of observables in dissipative quantum systems

Sahar Alipour, Dariusz Chruściński, Paolo Facchi, Giuseppe Marmo, Saverio Pascazio, Ali T. Rezakhani

Research output: Contribution to journalArticleScientificpeer-review

5 Citations (Scopus)


Dynamics and features of quantum systems can be drastically different from classical systems. Dissipation is understood as a general mechanism through which quantum systems may lose part or all of their quantum aspects. Here we discuss a method to analyze behaviors of dissipative quantum systems in an algebraic sense. This method employs a time-dependent product between system's observables which is induced by the underlying dissipative dynamics. We argue that the long-time limit of the algebra of observables defined with this product yields a contractive algebra which reflects the loss of some quantum features of the dissipative system, and it bears relevant information about irreversibility. We illustrate this result through several examples of dissipation in various Markovian and non-Markovian systems.

Original languageEnglish
Article number065301
JournalJournal of Physics A: Mathematical and Theoretical
Issue number6
Publication statusPublished - 10 Jan 2017
MoE publication typeA1 Journal article-refereed


  • algebra of observables
  • dissipative quantum systems
  • irreversibility

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