Quantum phase transition using quantum walks in an optical lattice

TL;DR

This paper introduces a method using quantum walks to efficiently manipulate ultracold atom distributions in optical lattices, enabling faster quantum phase transitions through controllable quantum walk parameters.

Contribution

It presents a novel approach leveraging quantum walks to control atom density profiles and accelerate quantum phase transitions in optical lattices.

Findings

Quantum walks can reshape atom density profiles in optical lattices.

The method achieves a quadratic speedup in quantum phase transition processes.

Implementation strategies are discussed for current ultracold atom setups.

Abstract

We present an approach using quantum walks (QWs) to redistribute ultracold atoms in an optical lattice. Different density profiles of atoms can be obtained by exploiting the controllable properties of QWs, such as the variance and the probability distribution in position space using quantum coin parameters and engineered noise. The QW evolves the density profile of atoms in a superposition of position space resulting in a quadratic speedup of the process of quantum phase transition. We also discuss implementation in presently available setups of ultracold atoms in optical lattices.