Nonequilibrium work on spin glasses in longitudinal and transverse fields

Masayuki Ohzeki, Hitoshi Katsuda, Hidetoshi Nishimori

研究成果: Article

8 引用 (Scopus)

抜粋

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.

元の言語English
記事番号084002
ジャーナルjournal of the physical society of japan
80
発行部数8
DOI
出版物ステータスPublished - 2011 8 1
外部発表Yes

ASJC Scopus subject areas

  • Physics and Astronomy(all)

フィンガープリント Nonequilibrium work on spin glasses in longitudinal and transverse fields' の研究トピックを掘り下げます。これらはともに一意のフィンガープリントを構成します。

  • これを引用