Sufficient Conditions for Conservativity of Minimal Quantum Dynamical Semigroups
Alexander Chebotarev (Moscow State University), Franco Fagnola, (Universit\`a di Genova)
TL;DR
This paper establishes conditions under which minimal quantum dynamical semigroups are conservative, using a reference subharmonic operator, with applications in mathematical physics and quantum probability.
Contribution
It introduces a new criterion for conservativity of quantum dynamical semigroups based on subharmonic operators, expanding theoretical understanding.
Findings
Conservativity is guaranteed under the existence of a suitable subharmonic operator.
The criteria apply to quantum systems in mathematical physics.
Applications demonstrate relevance to quantum probability theory.
Abstract
The conservativity of a minimal quantum dynamical semigroup is proved whenever there exists a ``reference'' subharmonic operator bounded from below by the dissipative part of the infinitesimal generator. We discuss applications of this criteria in mathematical physics and quantum probability.
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Taxonomy
Topicsadvanced mathematical theories · Quantum Mechanics and Applications · Advanced Thermodynamics and Statistical Mechanics