Locality of temperature in spin chains

2015/06/30 by Senaida Hernández-Santana, Arnau Riera, Karen Hovhannisyan +4 · 1 citation
Chemistry · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Criticality #Locality #Quantum #Quantum many-body systems #Spin (aerodynamics) #State (computer science) #Theoretical and Computational Physics #Thermal #Thermal fluctuations #Thermal state #cond-mat.stat-mech #quant-ph

paper · pdf · doi:10.1088/1367-2630/17/8/085007

published as New J. Phys. 17, 085007 (2015) · 18+9 pages, 12 figures

openalex publication_date 2015/08/18 · arxiv created 2015/10/09 · arxiv updated 2015/10/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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.

Citations

• Approximating Gibbs states of local Hamiltonians efficiently with projected entangled pair states
• Solving gapped Hamiltonians locally
• Many-body physics with ultracold gases
• Non-equilibrium coherence dynamics in one-dimensional Bose gases
• The absence of finite-temperature phase transitions in low-dimensional many-body models: a survey and new results
• Matrix product states represent ground states faithfully
• Conformal Field Theory

Cited by

• Virtual temperatures as a key quantifier for passive states in quantum thermodynamic processes