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Zeitschriftenartikel

Locality of temperature

MPG-Autoren

Riera,  A.
AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Volltexte (frei zugänglich)

1309.0816.pdf
(Preprint), 707KB

PhysRevX.4_031019.pdf
(beliebiger Volltext), 923KB

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Zitation

Kliesch, M., Gogolin, C., Kastoryano, M. J., Riera, A., & Eisert, J. (2014). Locality of temperature. Physical Review X, 4: 031019. doi:10.1103/PhysRevX.4.031019.


Zitierlink: http://hdl.handle.net/11858/00-001M-0000-0024-76E2-5
Zusammenfassung
This work is concerned with thermal quantum states of Hamiltonians on spin and fermionic lattice systems with short range interactions. We provide results leading to a local definition of temperature, thereby extending the notion of "intensivity of temperature" to interacting quantum models. More precisely, we derive a perturbation formula for thermal states. The influence of the perturbation is exactly given in terms of a generalized covariance. For this covariance, we prove exponential clustering of correlations above a universal critical temperature that upper bounds physical critical temperatures such as the Curie temperature. As a corollary, we obtain that above the critical temperature, thermal states are stable against distant Hamiltonian perturbations. Moreover, our results imply that above the critical temperature, local expectation values can be approximated efficiently in the error and the system size.