Locality of temperature in spin chains

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.

18+9 pages, 12 figures

References in corpus (12)

• Many-Body Physics with Ultracold Gases
• Thermalization and its mechanism for generic isolated quantum systems
• Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
• Non-equilibrium coherence dynamics in one-dimensional Bose gases
• Matrix product states represent ground states faithfully
• The Physics of Maxwell's demon and information
• The thermodynamic meaning of negative entropy
• Strong and weak thermalization of infinite non-integrable quantum systems
• Absence of Thermalization in Nonintegrable Systems
• Algorithms for finite Projected Entangled Pair States
• Approximating Gibbs states of local Hamiltonians efficiently with PEPS
• Matrix product states for critical spin chains: finite size scaling versus finite entanglement scaling

Cited by in corpus (23)

• Canonical Typicality of Energy Eigenstates of an Isolated Quantum System
• Subsystem ETH
• Strong coupling corrections in quantum thermodynamics
• Low-temperature thermometry can be enhanced by strong coupling
• Probing the temperature of cold many-body quantum systems
• Thermalization and Heating Dynamics in Open Generic Many-Body Systems
• Local Temperatures Out of Equilibrium
• Operational definition of the temperature of a quantum state
• Prethermalization at Low Temperature: the Scent of Long-Range Order
• Eigenstate thermalization from the clustering property of correlation
• Pushing the limits of the reaction-coordinate mapping
• Simulating the out-of-equilibrium dynamics of local observables by trading entanglement for mixture
• Critical quantum thermometry and its feasibility in spin systems
• Fundamental limits on anomalous energy flows in correlated quantum systems
• Energy measurements remain thermometrically optimal beyond weak coupling
• Local Quantum Thermometry using Unruh-De Witt detectors
• Structure of the Hamiltonian of mean force
• Long-time equilibration can determine transient thermality
• Clustering of conditional mutual information and quantum Markov structure at arbitrary temperatures
• Properties of thermal quantum states: locality of temperature, decay of correlations, and more
• Locality of temperature and correlations in the presence of non-zero-temperature phase transitions
• Stability of thermal equilibrium in long-range quantum systems
• Locally accurate tensor networks for thermal states and time evolution