Quantum Many-Body Scars in Dual-Unitary Circuits

Abstract

Dual-unitary circuits are a class of quantum systems for which exact calculations of various quantities are possible, even for circuits that are nonintegrable. The array of known exact results paints a compelling picture of dual-unitary circuits as rapidly thermalizing systems. However, in this Letter, we present a method to construct dual-unitary circuits for which some simple initial states fail to thermalize, despite the circuits being "maximally chaotic," ergodic and mixing. This is achieved by embedding quantum many-body scars in a circuit of arbitrary size and local Hilbert space dimension. We support our analytic results with numerical simulations showing the stark contrast in the rate of entanglement growth from an initial scar state compared to nonscar initial states. Our results are well suited to an experimental test, due to the compatibility of the circuit layout with the native structure of current digital quantum simulators.

6 pages + 7 pages appendices, 5 figures

References in corpus (3)

• Many body localization and thermalization in quantum statistical mechanics
• Scrambling in Random Unitary Circuits: Exact Results
• Many Body Quantum Chaos and Dual Unitarity Round-a-Face

Cited by in corpus (14)

• Theory of robust quantum many-body scars in long-range interacting systems
• Exactly solvable many-body dynamics from space-time duality
• Unraveling PXP Many-Body Scars through Floquet Dynamics
• Eigenstate Correlations in Dual-Unitary Quantum Circuits: Partial Spectral Form Factor
• Fundamental charges for dual-unitary circuits
• Hayden-Preskill recovery in chaotic and integrable unitary circuit dynamics
• Exact Correlation Functions for Dual-Unitary Quantum circuits with exceptional points
• Observing quantum many-body scars in random quantum circuits
• Exploring quantum criticality and ergodicity-breaking dynamics in spin-1 Kitaev chains via single-ion anisotropies
• Hilbert subspace ergodicity
• Taking the temperature of quantum many-body scars
• ScarFinder: a detector of optimal scar trajectories in quantum many-body dynamics
• Anomalous transport in U(1)-symmetric quantum circuits
• Entanglement structure for finite system under dual-unitary dynamics