Stable many-body resonances in open quantum systems

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.

10 pages, 10 figures. Submitted to Symmetry journal

References in corpus (18)

• Many-Body Physics with Ultracold Gases
• Supplementary information for "Quantum supremacy using a programmable superconducting processor"
• The density-matrix renormalization group in the age of matrix product states
• Quantum algorithm for solving linear systems of equations
• Probing many-body dynamics on a 51-atom quantum simulator
• Many body localization and thermalization in quantum statistical mechanics
• Quantum computational advantage using photons
• Simulated Quantum Computation of Molecular Energies
• Strong quantum computational advantage using a superconducting quantum processor
• Strongly Interacting Polaritons in Coupled Arrays of Cavities
• Quantum random access memory
• Quantum phase transitions of light
• Photon blockade induced Mott transitions and XY spin models in coupled cavity arrays
• Quantum advantage in learning from experiments
• Spectral signatures of many-body localization with interacting photons
• Coherence and Decay of Higher Energy Levels of a Superconducting Transmon Qubit
• Scalable quantum memory in the ultrastrong coupling regime
• Classical approaches to prethermal discrete time crystals in one, two, and three dimensions

Cited by in corpus (3)

• Dynamical phases transitions in periodically driven Bardeen-Cooper-Schrieffer systems
• Steering spin fluctuations in lattice systems via two-tone Floquet engineering
• Scalable phonon-laser arrays with self-organized synchronization