Measuring entanglement growth in quench dynamics of bosons in an optical lattice

TL;DR

This paper proposes a practical method to measure the growth of many-body entanglement during quench dynamics in bosonic optical lattices, utilizing two-copy setups and parity measurements, applicable to superfluid and Mott insulator states.

Contribution

It introduces a scheme to extract arbitrary order Renyi entropies in bosonic systems using tunnel-coupling and parity measurements, demonstrating robustness against experimental imperfections.

Findings

Scheme successfully extracts Renyi entropies in simulated setups.

Method applicable to superfluid and Mott insulator states.

Robustness demonstrated against measurement imperfections.

Abstract

We discuss a scheme to measure the many-body entanglement growth during quench dynamics with bosonic atoms in optical lattices. By making use of a 1D or 2D setup in which two copies of the same state are prepared, we show how arbitrary order Renyi entropies can be extracted using tunnel-coupling between the copies and measurement of the parity of on-site occupation numbers, as has been performed in recent experiments. We illustrate these ideas for a Superfluid-Mott insulator quench in the Bose-Hubbard model, and also for hard-core bosons, and show that the scheme is robust against imperfections in the measurements.