2011/04/30 by Masayuki Ohzeki, Hitoshi Katsuda, Hidetoshi Nishimori
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Context (archaeology) #Non-equilibrium thermodynamics #Quantum #Quantum Mechanics and Applications #Quantum annealing #Quantum many-body systems #Spin glass #Transverse plane #Work (physics) #cond-mat.dis-nn #cond-mat.stat-mech #quant-ph
paper · pdf · doi:10.1143/jpsj.80.084002
17 pages, 5 figures, submitted to JPSJ
arxiv created 2011/05/27 · openalex publication_date 2011/07/25 · arxiv updated 2015/05/27 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.