Nonequilibrium work on spin glasses in longitudinal and transverse fields

Masayuki Ohzeki, Hitoshi Katsuda, Hidetoshi Nishimori

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)


We derive a number of exact relations between equilibrium and nonequilibrium quantities for spin glasses in external fields using the Jarzynski equality and gauge symmetry. For randomly-distributed longitudinal fields, a lower bound is established for the work done on the system in nonequilibrium processes, and identities are proven to relate equilibrium and nonequilibrium quantities. In the case of uniform transverse fields, identities are proven between physical quantities and exponentiated work done to the system at different parts of the phase diagram with the context of quantum annealing in mind. Additional relations are given, which relate the exponentiated work in quantum and simulated (classical) annealing. It is also suggested that the Jarzynski equality may serve as a guide to develop a method to perform quantum annealing under non-adiabatic conditions.

Original languageEnglish
Article number084002
JournalJournal of the Physical Society of Japan
Issue number8
Publication statusPublished - 2011 Aug


  • Gauge symmetry
  • Jarzynski equality
  • Quantum annealing
  • Spin glass


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