Stable many-body resonances in open quantum systems

TL;DR

This paper demonstrates that fractional resonances in open quantum many-body systems are stable under local noise, offering insights into stable nonequilibrium states with potential quantum memory applications.

Contribution

It shows the stability of fractional resonances under noise and explores their implications for stable nonequilibrium quantum states.

Findings

Fractional resonances remain stable under local noise models.

Numerical simulations of Bose-Hubbard models support the stability.

Potential for quantum memory applications in noisy environments.

Abstract

Periodically driven quantum many-body systems exhibit novel nonequilibrium states such as prethermalization, discrete time crystals, and many-body localization. Recently, the general mechanism of fractional resonances has been proposed that leads to slowing the many-body dynamics in systems with both $U(1)$ and parity symmetry. Here, we show that fractional resonance is stable under local noise models. To corroborate our finding, we numerically study the dynamics of a small-scale Bose-Hubbard model that can readily be implemented in existing noisy intermediate-scale quantum (NISQ) devices. Our findings suggest a possible pathway toward a stable nonequilibrium state of matter, with potential applications of quantum memories for quantum information processing.