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  Locality of temperature

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.

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 Creators:
Kliesch, M., Author
Gogolin, C., Author
Kastoryano, M. J., Author
Riera, A.1, Author
Eisert, J., Author
Affiliations:
1AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, ou_24008              

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Free keywords: Quantum Physics, quant-ph, Condensed Matter, Statistical Mechanics, cond-mat.stat-mech,Mathematical Physics, math-ph,Mathematics, Mathematical Physics, math.MP
 Abstract: 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.

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 Dates: 2013-09-032014-08-012014
 Publication Status: Issued
 Pages: 11 pages + 6 pages appendix, 6 figures; proof of the clustering theorem corrected, improved presentation
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Title: Physical Review X
  Other : Phys. Rev. X
  Abbreviation : PHYS REV X
Source Genre: Journal
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Publ. Info: AMER PHYSICAL SOC
Pages: - Volume / Issue: 4 Sequence Number: 031019 Start / End Page: - Identifier: Other: 2160-3308
CoNE: https://pure.mpg.de/cone/journals/resource/2160-3308