Many-body state engineering using measurements and fixed unitary dynamics

TL;DR

This paper introduces a method for high-dimensional quantum state engineering using repeated projections and fixed unitary dynamics, enabling efficient preparation of complex states like Schrödinger cats in atomic systems.

Contribution

The authors propose a novel control scheme combining static projections with fixed unitaries, demonstrating its effectiveness compared to existing methods in high-dimensional quantum systems.

Findings

Method is competitive with other control schemes.

Successfully prepares Schrödinger cat states in optical lattices.

Applicable to generic Hamiltonians and Bose-Hubbard systems.

Abstract

We develop a scheme to prepare a desired state or subspace in high-dimensional Hilbert-spaces using repeated applications of a single static projection operator onto the desired target and fixed unitary dynamics. Benchmarks against other control schemes, performed on generic Hamiltonians and on Bose-Hubbard systems, establish the competitiveness of the method. As a concrete application of the control of mesoscopic atomic samples in optical lattices we demonstrate the near deterministic preparation of Schr\"{o}dinger cat states of all atoms residing on either the odd or the even sites.