Stirring trapped atoms into fractional quantum Hall puddles

TL;DR

This paper proposes a method to generate few-body fractional quantum Hall states in optical lattice traps by dynamically rotating the traps, achieving high fidelity state transfer.

Contribution

It introduces a theoretical protocol for creating highly correlated fractional quantum Hall states in small atom clusters within optical lattices.

Findings

Achieves over 99% fidelity in state transfer.

Demonstrates feasibility of generating fractional quantum Hall analogs in few-atom systems.

Provides a theoretical framework for controlled state preparation.

Abstract

We theoretically explore the generation of few-body analogs of fractional quantum Hall states. We consider an array of identical few-atom clusters (n=2,3,4), each cluster trapped at the node of an optical lattice. By temporally varying the amplitude and phase of the trapping lasers, one can introduce a rotating deformation at each site. We analyze protocols for coherently transferring ground state clusters into highly correlated states, producing theoretical fidelities in excess of 99%.