Quantum Monte Carlo simulations of a particle in a random potential

Details Quantum Monte Carlo simulations of a particle in a random potential Quantum Monte Carlo simulations of a particle in a random potential

1996-12-23

arxiv.org/abs/cond-mat/9612208v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

23 pages, 7 figures included as eps files, uses RevTeX. Accepted for publication in J. of Physics A: Mathematical and General

Scientific paper

10.1088/0305-4470/30/6/008

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 behavior is discussed.

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