Realizing discontinuous quantum phase transitions in a strongly-correlated driven optical lattice

TL;DR

This study demonstrates how a driven ultracold atom system in an optical lattice can exhibit tunable quantum phase transitions from continuous to discontinuous, revealing metastability and hysteresis phenomena.

Contribution

It introduces a method to control the nature of quantum phase transitions in a strongly-interacting driven optical lattice, highlighting the role of shaking amplitude.

Findings

Discontinuous (first-order) transition observed at weak shaking amplitudes.

Metastability and hysteresis confirmed experimentally.

Numerical simulations agree with experimental results.

Abstract

Discontinuous quantum phase transitions and the associated metastability play central roles in diverse areas of physics ranging from ferromagnetism to false vacuum decay in the early universe. Using strongly-interacting ultracold atoms in an optical lattice, we realize a driven many-body system whose quantum phase transition can be tuned from continuous to discontinuous. Resonant shaking of a one-dimensional optical lattice hybridizes the lowest two Bloch bands, driving a novel transition from a Mott insulator to a $\pi$-superfluid, i.e., a superfluid state with staggered phase order. For weak shaking amplitudes, this transition is discontinuous (first-order) and the system can remain frozen in a metastable state, whereas for strong shaking, it undergoes a continuous transition toward a $\pi$-superfluid. Our observations of this metastability and hysteresis are in good quantitative agreement with numerical simulations and pave the way for exploring the crucial role of quantum fluctuations in discontinuous transitions.