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TIME EVOLUTION OF QUASI-HERMITIAN OPEN SYSTEMS AND GENERALIZED ENTROPY FUNCTIONAL

F. MASILLO

Dipartimento di Fisica, Università del Salento, Sezione di Lecce, I-73100 Lecce, Italy

INFN, Sezione di Lecce, I-73100 Lecce, Italy

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L. SOLOMBRINO

Dipartimento di Fisica, Università del Salento, Sezione di Lecce, I-73100 Lecce, Italy

INFN, Sezione di Lecce, I-73100 Lecce, Italy

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, and

G. SCOLARICI

Department of Mathematics, Koc University, 34450 Sariyer, Istanbul, Turkey

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https://doi.org/10.1142/S0219887810004683Cited by:0 (Source: Crossref)

Abstract

We study general properties of dynamical maps preserving Hermiticity and quasi-Hermiticity, and prove that the generator of a dynamical semigroup is always a pseudo-Hermitian operator. Moreover, improving a previous proposal by Jakob and Stenholm, we introduce two new Lyapunov functionals for degenerate open systems, and apply such results to a physical example.

Keywords:

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