High-accuracy Trotter-formula method for path integrals

Kevin Schmidt, Michael A. Lee

Research output: Contribution to journalArticle

27 Citations (Scopus)

Abstract

Path integrals are a powerful method for calculating real time, finite temperature, and ground state properties of quantum systems. By exploiting some remarkable properties of the symmetric Trotter formula and the discrete Fourier transform, we arrive at a high-accuracy method for removing "time slice" errors in Trotter-approximated propagators. We provide an explicit demonstration of the method applied to the two-body density matrix of He4. Our method is simultaneously fast, high precision, and computationally simple and can be applied to a wide variety of quantum propagators.

Original languageEnglish (US)
Pages (from-to)5495-5498
Number of pages4
JournalPhysical Review E
Volume51
Issue number6
DOIs
StatePublished - 1995

Fingerprint

Curvilinear integral
High Accuracy
propagation
Propagator
ground state
Discrete Fourier transform
Density Matrix
Finite Temperature
Slice
Quantum Systems
Ground State
temperature

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics

Cite this

High-accuracy Trotter-formula method for path integrals. / Schmidt, Kevin; Lee, Michael A.

In: Physical Review E, Vol. 51, No. 6, 1995, p. 5495-5498.

Research output: Contribution to journalArticle

Schmidt, Kevin ; Lee, Michael A. / High-accuracy Trotter-formula method for path integrals. In: Physical Review E. 1995 ; Vol. 51, No. 6. pp. 5495-5498.
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