Dynamics of Thermalization in Small Hubbard-Model Systems

S. Genway, A. F. Ho, and D. K. K. Lee
Phys. Rev. Lett. 105, 260402 – Published 28 December 2010

Abstract

We study numerically the thermalization and temporal evolution of a two-site subsystem of a fermionic Hubbard model prepared far from equilibrium at a definite energy. Even for very small systems near quantum degeneracy, the subsystem can reach a steady state resembling equilibrium. This occurs for a nonperturbative coupling between the subsystem and the rest of the lattice where relaxation to equilibrium is Gaussian in time, in sharp contrast to perturbative results. We find similar results for random couplings, suggesting such behavior is generic for small systems.

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  • Received 9 June 2010

DOI:https://doi.org/10.1103/PhysRevLett.105.260402

© 2010 The American Physical Society

Authors & Affiliations

S. Genway1, A. F. Ho2, and D. K. K. Lee1

  • 1Blackett Laboratory, Imperial College London, London SW7 2AZ, United Kingdom
  • 2Department of Physics, Royal Holloway University of London, Egham, Surrey TW20 0EX, United Kingdom

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Issue

Vol. 105, Iss. 26 — 31 December 2010

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