Construction of localized wave functions for a disordered optical lattice and analysis of the resulting Hubbard model parameters

TL;DR

This paper introduces a method to construct localized wave functions in disordered optical lattices, enabling the calculation of Hubbard model parameters and their probability distributions, with implications for understanding disordered quantum systems.

Contribution

The paper presents a novel approach using imaginary time projection to determine localized wave functions and Hubbard parameters in disordered optical lattices.

Findings

Successful construction of localized wave functions in disordered potentials

Distribution analysis of Hubbard model parameters

Validation of localization and eigen-energy convergence

Abstract

We propose a method to construct localized single particle wave functions using imaginary time projection and thereby determine lattice Hamiltonian parameters. We apply the method to a specific disordered potential generated by an optical lattice experiment and calculate for each instance of disorder, the equivalent lattice model parameters. The probability distributions of the Hubbard parameters are then determined. Tests of localization and eigen-energy convergence are examined.