Quantum Monte Carlo simulations of a particle in a random potential

Hsuan Yi Chen, Yadin Y. Goldschmidt

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

In this paper we carry out quantum Monte Carlo simulations of a quantum particle in a one-dimensional random potential (plus a fixed harmonic potential) at a finite temperature. This is the simplest model of an interface in a disordered medium and may also pertain to an electron in a dirty metal. We compare with previous analytical results, and also derive an expression for the sample-to-sample fluctuations of the mean square displacement from the origin which is a measure of the glassiness of the system. This quantity as well as the mean square displacement of the particle are measured in the simulation. The similarity to the quantum spin glass in a transverse field is noted. The effect of quantum fluctuations on the glassy behaviour is discussed.

Original languageEnglish
Pages (from-to)1803-1816
Number of pages14
JournalJournal of Physics A: Mathematical and General
Volume30
Issue number6
DOIs
StatePublished - 21 Mar 1997

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