Quantum Billiards in Optical Lattices

TL;DR

This paper explores how finite two-dimensional spin lattices, or spin billiards, can exhibit integrable or chaotic dynamics based on their shape, and proposes their quantum simulation using ultra-cold atoms in optical lattices for quantum information applications.

Contribution

It introduces a method to simulate spin billiards with ultra-cold atoms in optical lattices and discusses experimental identification of their dynamical properties.

Findings

Demonstration of collective integrable and chaotic dynamics in spin billiards.

Proposal for quantum simulation of spin billiards using ultra-cold atoms.

Discussion of potential applications in quantum information processing.

Abstract

We study finite two dimensional spin lattices with definite geometry (spin billiards) demonstrating the display of collective integrable or chaotic dynamics depending on their shape. We show that such systems can be quantum simulated by ultra-cold atoms in optical lattices and discuss how to identify their dynamical features in a realistic experimental setup. Possible applications are the simulation of quantum information tasks in mesoscopic devices.