Expansion Potentials for Exact Far-from-Equilibrium Spreading of Particles and Energy

Vasseur, Romain; Karrasch, Christoph; Moore, Joel E.

doi:10.1103/PhysRevLett.115.267201

Title: Expansion Potentials for Exact Far-from-Equilibrium Spreading of Particles and Energy

Journal Article · Tue Dec 01 00:00:00 EST 2015 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.115.267201· OSTI ID:1253354

Vasseur, Romain ^[1]; Karrasch, Christoph ^[1]; Moore, Joel E. ^[1]

Univ. of California, Berkeley, CA (United States). Dept. of Physics; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Materials Sciences Division

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.

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Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: DMR-1206535

OSTI ID:: 1253354

Alternate ID(s):: OSTI ID: 1233948

Journal Information:: Physical Review Letters, Vol. 115, Issue 26; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 33 works

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