Properties of Thermal Quantum States: Locality of Temperature, Decay of Correlations, and More

Publikationstyp
Book Part
Date Issued
2018
Sprache
English
Author(s)
Kliesch, Martin  
Riera, Arnau  
TORE-URI
http://hdl.handle.net/11420/14091
First published in
Fundamental theories of physics  
Number in series
195
Start Page
481
End Page
502
Citation
In: Binder, F., Correa, L., Gogolin, C., Anders, J., Adesso, G. (eds) Thermodynamics in the Quantum Regime. Fundamental theories of physicsl 195.: 481-502 (2018)
Publisher DOI
10.1007/978-3-319-99046-0_20
Scopus ID
2-s2.0-85085308454
Publisher
Springer
ISBN
978-3-319-99046-0
We review several properties of thermal states of spin Hamiltonians with short range interactions. In particular, we focus on those aspects in which the application of tools coming from quantum information theory has been specially successful in the recent years. This comprises the study of the correlations at finite and zero temperature, the stability against distant and/or weak perturbations, the locality of temperature and their classical simulatability. For the case of states with a finite correlation length, we review the results on their energy distribution and the equivalence of the canonical and microcanonical ensemble.
DDC Class
600: Technology