Embedding Quantum Many-Body Scars into Decoherence-Free Subspaces
arXiv:2304.08515 · doi:10.1103/PhysRevLett.132.150401
Abstract
Quantum many-body scars are non-thermal excited eigenstates of non-integrable Hamiltonians, which could support coherent revival dynamics from special initial states when scars form an equally spaced tower in the energy spectrum. For open quantum systems, engineering many-body scarred dynamics by a controlled coupling to the environment remains largely unexplored. In this paper, we provide a general framework to exactly embed quantum many-body scars into the decoherence-free subspaces of Lindblad master equations. The dissipative scarred dynamics manifest persistent periodic oscillations for generic initial states, and can be practically utilized to prepare scar states with potential quantum metrology applications. We construct the Liouvillian dissipators with the local projectors that annihilate the whole scar towers, and utilize the Hamiltonian part to rotate the undesired states out of the null space of dissipators. We demonstrate our protocol through several typical models hosting many-body scar towers, and propose an experimental scheme to observe the dissipative scarred dynamics based on digital quantum simulations and resetting ancilla qubits.
7+11 pages, 3+4 figures
References in corpus (81)
- Chaos and Quantum Thermalization
- Probing many-body dynamics on a 51-atom quantum simulator
- Decoherence Free Subspaces for Quantum Computation
- Quantum metrology with nonclassical states of atomic ensembles
- Noiseless Quantum Codes
- Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
- An Open-System Quantum Simulator with Trapped Ions
- Quantum many-body scars
- Quantum trajectories and open many-body quantum systems
- Entanglement, Non-linear Dynamics, and the Heisenberg Limit
- A Rydberg Quantum Simulator
- Preparation of Entangled States by Quantum Markov Processes
- Fisher information and multiparticle entanglement
- Multipartite entanglement and high precision metrology
- Preserving coherence in quantum computation by pairing quantum bits
- Topology by Dissipation in Atomic Quantum Wires
- Quantum Many-Body Scars and Weak Breaking of Ergodicity
- Cavity Loss Induced Generation of Entangled Atoms
- High-fidelity parallel entangling gates on a neutral atom quantum computer
- Quantum Many-Body Scars and Hilbert Space Fragmentation: A Review of Exact Results
- Quantum scarred eigenstates in a Rydberg atom chain: entanglement, breakdown of thermalization, and stability to perturbations
- On the Entangling Power of Quantum Evolutions
- Controlling many-body dynamics with driven quantum scars in Rydberg atom arrays
- Dissipative production of a maximally entangled steady state
- A note on symmetry reductions of the Lindblad equation: transport in constrained open spin chains
- Stabilizing entanglement autonomously between two superconducting qubits
- Emergent SU(2) dynamics and perfect quantum many-body scars
- Entanglement of Exact Excited States of AKLT Models: Exact Results, Many-Body Scars and the Violation of Strong ETH
- Non-stationary coherent quantum many-body dynamics through dissipation
- Exact Quantum Many-Body Scar States in the Rydberg-Blockaded Atom Chain
- Weak Ergodicity Breaking and Quantum Many-Body Scars in Spin-1 XY Magnets
- Exact Excited States of Non-Integrable Models
- Entanglement of Quantum Evolutions
- Mesoscopic Rydberg Gate based on Electromagnetically Induced Transparency
- Lattice gauge theories and string dynamics in Rydberg atom quantum simulators
- Quantum collision models: open system dynamics from repeated interactions
- Observation of a dissipative time crystal
- Discrete Time-Crystalline Order in Cavity and Circuit QED Systems
- Quantum Many-Body Scars: A Quasiparticle Perspective
- Quantum simulation of open-system dynamical maps with trapped ions
- Towards a theory of metastability in open quantum dynamics
- Operator space entanglement entropy in transverse Ising chain
- Quantum Many-Body Scar States with Emergent Kinetic Constraints and Finite-Entanglement Revivals
- Unified structure for exact towers of scar states in the AKLT and other models
- Onsager's Scars in Disordered Spin Chains
- Eta-Pairing in Hubbard Models: From Spectrum Generating Algebras to Quantum Many-Body Scars
- Observation of many-body scarring in a Bose--Hubbard quantum simulator
- Relaxion Stars and their detection via Atomic Physics
- Quantum Many-Body Scars and Space-Time Crystalline Order from Magnon Condensation
- Robustness of Decoherence-Free Subspaces for Quantum Computation
- Eta-pairing states as true scars in an extended Hubbard Model
- Removing leakage-induced correlated errors in superconducting quantum error correction
- Operator entanglement entropy of the time evolution operator in chaotic systems
- Quantum scars from zero modes in an Abelian lattice gauge theory on ladders
- Systematic construction of scarred many-body dynamics in 1D lattice models
- Operator Space Entanglement Entropy in XY Spin Chains
- Many-body Hilbert space scarring on a superconducting processor
- Topological many-body scar states in dimensions 1, 2, and 3
- Quantum many-body scars from virtual entangled pairs
- Universal simulation of Markovian quantum dynamics
- Stable Quantum-Correlated Many Body States through Engineered Dissipation
- Discrete time-crystalline order enabled by quantum many-body scars: entanglement steering via periodic driving
- Dissipation-induced d-Wave Pairing of Fermionic Atoms in an Optical Lattice
- A proposal for realising quantum scars in the tilted 1D Fermi-Hubbard model
- Group theoretic approach to many-body scar states in fermionic lattice models
- Weak Ergodicity Breaking in the Schwinger Model
- Time Crystals Protected by Floquet Dynamical Symmetry in Hubbard Models
- Hilbert Space Fragmentation and Exact Scars of Generalized Fredkin Spin Chains
- Facilitated spin models of dissipative quantum glasses
- Robust quantum sensing in strongly interacting systems with many-body scars
- Extensive multipartite entanglement from su(2) quantum many-body scars
- Experimental simulation of open quantum system dynamics via Trotterization
- Entanglement enhanced metrology with quantum many-body scars
- Exact Quantum Scars in the Chiral Non-Linear Luttinger Liquid
- Quantum many-body scars in bipartite Rydberg arrays originate from hidden projector embedding
- A brief journey through collision models for multipartite open quantum dynamics
- Weak Ergodicity Breaking in Non-Hermitian Many-body Systems
- High-efficiency arbitrary quantum operation on a high-dimensional quantum system
- Construction of Non-Hermitian Parent Hamiltonian from Matrix Product States
- Using (1 + 1)D Quantum Cellular Automata for Exploring Collective Effects in Large Scale Quantum Neural Networks
- Time periodicity from randomness in quantum systems
Cited by in corpus (13)
- Universality in driven open quantum matter
- Emergent symmetries in prethermal phases of periodically driven quantum systems
- Simulating open quantum systems with giant atoms
- Theory of metastable states in many-body quantum systems
- Duality between open systems and closed bilayer systems: Thermofield double states as quantum many-body scars
- Exceptional stationary state in a dephasing many-body open quantum system
- Many-body Liouvillian dynamics with a non-Hermitian tensor-network kernel polynomial algorithm
- Exploring quantum criticality and ergodicity-breaking dynamics in spin-1 Kitaev chains via single-ion anisotropies
- Antiscarring from eigenstate stacking in a chaotic spinor condensate
- Hilbert subspace ergodicity
- Systematic construction of asymptotic quantum many-body scar states and their relation to supersymmetric quantum mechanics
- Kinetically constrained models constructed from dissipative quantum dynamics
- Integrals of motion as slow modes in dissipative many-body operator dynamics