On a quantum phase transition in a steady state out of equilibrium (Q2832459)
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scientific article; zbMATH DE number 6652140
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a quantum phase transition in a steady state out of equilibrium |
scientific article; zbMATH DE number 6652140 |
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On a quantum phase transition in a steady state out of equilibrium (English)
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11 November 2016
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open systems
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non-equilibrium quantum statistical mechanics
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quasi-free fermions
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Hilbert space scattering theory
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non-equilibrium steady state
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entropy production
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non-equilibrium quantum phase transition
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The author studies transport and quantum phase transition properties for the quasi-free fermionic system over the two-sided discrete line associated to the isotropic XY spin chain. He works in the operator algebraic approach to quantum statistical mechanics in which a physical system is defined by an algebra of observables, a group of time evolution automorphisms, and a normalized positive linear state functional on this algebra. In this framework, the author introduces the concept of magnetic NESS (non-equilibrium steady state) some properties of which are displayed. The entropy production rate is obtained and the non-equilibrium quantum phase transition is analyzed.
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