Quantum Many-Body Scars in Dual-Unitary Circuits
arXiv:2307.06755 · doi:10.1103/PhysRevLett.132.010401
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.
arXiv comment6 pages + 7 pages appendices, 5 figures
References in corpus (32)
- Chaos and Quantum Thermalization
- Many body localization and thermalization in quantum statistical mechanics
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- Many-body localization, thermalization, and entanglement
- Average Entropy of a Subsystem
- Quantum many-body scars
- Quantum Many-Body Scars and Weak Breaking of Ergodicity
- Thermalization and prethermalization in isolated quantum systems: a theoretical overview
- Quantum Many-Body Scars and Hilbert Space Fragmentation: A Review of Exact Results
- Exact Spectral Form Factor in a Minimal Model of Many-Body Quantum Chaos
- Exact Correlation Functions for Dual-Unitary Lattice Models in 1+1 Dimensions
- Quantum Many-Body Scars: A Quasiparticle Perspective
- Exact dynamics in dual-unitary quantum circuits
- Entanglement spreading in a minimal model of maximal many-body quantum chaos
- Unitary circuits of finite depth and infinite width from quantum channels
- The Eigenstate Thermalization Hypothesis and Out of Time Order Correlators
- Ergodic and non-ergodic dual-unitary quantum circuits with arbitrary local Hilbert space dimension
- Scrambling in Random Unitary Circuits: Exact Results
- Particle-Time Duality in the Kicked Ising Chain II: Applications to the Spectrum
- Particle-Time Duality in the Kicked Ising Chain I: The Dual Operator
- Maximum velocity quantum circuits
- Influence matrix approach to many-body Floquet dynamics
- Random Matrix Spectral Form Factor of Dual-Unitary Quantum Circuits
- Computational power of one- and two-dimensional dual-unitary quantum circuits
- Eigenstate thermalization in dual-unitary quantum circuits: Asymptotics of spectral functions
- Robust quantum sensing in strongly interacting systems with many-body scars
- Extensive multipartite entanglement from su(2) quantum many-body scars
- Maximal entanglement velocity implies dual unitarity
- Entanglement enhanced metrology with quantum many-body scars
- Exact dynamics in dual-unitary quantum circuits with projective measurements
- Many Body Quantum Chaos and Dual Unitarity Round-a-Face
- Growth of entanglement of generic states under dual-unitary dynamics
Cited by in corpus (15)
- Theory of robust quantum many-body scars in long-range interacting systems
- Entanglement Entropy of Free Fermions in Timelike Slices
- 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
- Entanglement structure for finite system under dual-unitary dynamics
- Anomalous transport in U(1)-symmetric quantum circuits