The structures of state space concerning quantum dynamical semigroups (Q2892019)
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scientific article; zbMATH DE number 6047148
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The structures of state space concerning quantum dynamical semigroups |
scientific article; zbMATH DE number 6047148 |
Statements
18 June 2012
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open system
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time evolution
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Lindblad generator
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Schrödinger's cat
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semigroup
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The structures of state space concerning quantum dynamical semigroups (English)
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Let \(T\) be a Markov semigroup acting on \(B(H)\), where \(H\) is the system Hilbert space. Then \(H\) can be orthogonally decomposed into subspaces according to asymptotic properties the corresponding vector states fulfill under \(T\).NEWLINENEWLINEThe authors concentrate on finite-dimensional \(H\) and on the case of a discrete-time semigroup \(T\). They derive a number of results and illustrate, particularly, cases that exist only in the discrete-time case.
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