Locality of temperature in spin chains

Senaida Hernández-Santana, Arnau Riera, Karen V. Hovhannisyan, Martí Perarnau-Llobet, Luca Tagliacozzo, Antonio Acín

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Abstract

In traditional thermodynamics, temperature is a local quantity: a subsystem of a large thermal system is in a thermal state at the same temperature as the original system. For strongly interacting systems, however, the locality of temperature breaks down. We study the possibility of associating an effective thermal state to subsystems of infinite chains of interacting spin particles of arbitrary finite dimension. We study the effect of correlations and criticality in the definition of this effective thermal state and discuss the possible implications for the classical simulation of thermal quantum systems.

Original languageEnglish
Article number085007
Number of pages19
JournalNew Journal of Physics
Volume17
Issue number8
DOIs
Publication statusPublished - 18 Aug 2015

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Keywords

  • local temperature
  • many-body interacting systems
  • quantum correlations
  • effective thermal state
  • thermodynamics

Cite this

Hernández-Santana, S., Riera, A., Hovhannisyan, K. V., Perarnau-Llobet, M., Tagliacozzo, L., & Acín, A. (2015). Locality of temperature in spin chains. New Journal of Physics, 17(8), [085007]. https://doi.org/10.1088/1367-2630/17/8/085007