Optimization of finite-size errors in finite-temperature calculations of unordered phases

Deepak Iyer, Mark Srednicki, Marcos Rigol

Research output: Contribution to journalArticle

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Abstract

It is common knowledge that the microcanonical, canonical, and grand-canonical ensembles are equivalent in thermodynamically large systems. Here, we study finite-size effects in the latter two ensembles. We show that contrary to naive expectations, finite-size errors are exponentially small in grand canonical ensemble calculations of translationally invariant systems in unordered phases at finite temperature. Open boundary conditions and canonical ensemble calculations suffer from finite-size errors that are only polynomially small in the system size. We further show that finite-size effects are generally smallest in numerical linked cluster expansions. Our conclusions are supported by analytical and numerical analyses of classical and quantum systems.

Original languageEnglish (US)
Article number062142
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume91
Issue number6
DOIs
Publication statusPublished - Jun 29 2015

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All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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