Expansion Potentials for Exact Far-from-Equilibrium Spreading of Particles and Energy
Abstract
We report that the rates at which energy and particle densities move to equalize arbitrarily large temperature and chemical potential differences in an isolated quantum system have an emergent thermodynamical description whenever energy or particle current commutes with the Hamiltonian. Concrete examples include the energy current in the 1D spinless fermion model with nearest-neighbor interactions (XXZ spin chain), energy current in Lorentz-invariant theories or particle current in interacting Bose gases in arbitrary dimension. Even far from equilibrium, these rates are controlled by state functions, which we call "expansion potentials", expressed as integrals of equilibrium Drude weights. This relation between nonequilibrium quantities and linear response implies non-equilibrium Maxwell relations for the Drude weights. Lastly, we verify our results via DMRG calculations for the XXZ chain.
- Authors:
-
- Univ. of California, Berkeley, CA (United States). Dept. of Physics; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Materials Sciences Division
- Publication Date:
- Research Org.:
- Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1253354
- Alternate Identifier(s):
- OSTI ID: 1233948
- Grant/Contract Number:
- DMR-1206535
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Volume: 115; Journal Issue: 26; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Vasseur, Romain, Karrasch, Christoph, and Moore, Joel E. Expansion Potentials for Exact Far-from-Equilibrium Spreading of Particles and Energy. United States: N. p., 2015.
Web. doi:10.1103/PhysRevLett.115.267201.
Vasseur, Romain, Karrasch, Christoph, & Moore, Joel E. Expansion Potentials for Exact Far-from-Equilibrium Spreading of Particles and Energy. United States. https://doi.org/10.1103/PhysRevLett.115.267201
Vasseur, Romain, Karrasch, Christoph, and Moore, Joel E. Tue .
"Expansion Potentials for Exact Far-from-Equilibrium Spreading of Particles and Energy". United States. https://doi.org/10.1103/PhysRevLett.115.267201. https://www.osti.gov/servlets/purl/1253354.
@article{osti_1253354,
title = {Expansion Potentials for Exact Far-from-Equilibrium Spreading of Particles and Energy},
author = {Vasseur, Romain and Karrasch, Christoph and Moore, Joel E.},
abstractNote = {We report that the rates at which energy and particle densities move to equalize arbitrarily large temperature and chemical potential differences in an isolated quantum system have an emergent thermodynamical description whenever energy or particle current commutes with the Hamiltonian. Concrete examples include the energy current in the 1D spinless fermion model with nearest-neighbor interactions (XXZ spin chain), energy current in Lorentz-invariant theories or particle current in interacting Bose gases in arbitrary dimension. Even far from equilibrium, these rates are controlled by state functions, which we call "expansion potentials", expressed as integrals of equilibrium Drude weights. This relation between nonequilibrium quantities and linear response implies non-equilibrium Maxwell relations for the Drude weights. Lastly, we verify our results via DMRG calculations for the XXZ chain.},
doi = {10.1103/PhysRevLett.115.267201},
journal = {Physical Review Letters},
number = 26,
volume = 115,
place = {United States},
year = {Tue Dec 01 00:00:00 EST 2015},
month = {Tue Dec 01 00:00:00 EST 2015}
}
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