Emergent symmetries and slow quantum dynamics in a Rydberg-atom chain with confinement
arXiv:2103.09773 · doi:10.1103/PhysRevB.103.214304
Abstract
Rydberg atoms in optical tweezer arrays provide a playground for nonequilibrium quantum many-body physics. The PXP model describes the dynamics of such systems in the strongly interacting Rydberg blockade regime and notably exhibits weakly nonergodic dynamics due to quantum many-body scars. Here, we study the PXP model in a strong staggered external field, which has been proposed to manifest quasiparticle confinement in light of a mapping to a lattice gauge theory. We characterize this confining regime using both numerical exact diagonalization and perturbation theory around the strong-field limit. In addition to the expected emergent symmetry generated by the staggered field, we find a second emergent symmetry that is special to the PXP model. The interplay between these emergent symmetries and the Rydberg blockade constraint dramatically slows down the system's dynamics beyond naive expectations. We devise a nested Schrieffer-Wolff perturbation theory to properly account for the new emergent symmetry and show that this treatment is essential to understand the numerically observed relaxation time scales. We also discuss connections to Hilbert space fragmentation and trace the origin of the new emergent symmetry to a "nearly-" algebra discovered in the context of many-body scarring.
arXiv comment13 pages, 9 figures
References in corpus (49)
- Chaos and Quantum Thermalization
- Thermalization and its mechanism for generic isolated quantum systems
- Probing many-body dynamics on a 51-atom quantum simulator
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- Fast quantum gates for neutral atoms
- Quantum many-body scars
- Observation of Rydberg blockade between two atoms
- Realizing quantum Ising models in tunable two-dimensional arrays of single Rydberg atoms
- Dynamics of Loschmidt echoes and fidelity decay
- Eigenstate Thermalization Hypothesis
- Schrieffer-Wolff transformation for quantum many-body systems
- Localization from Hilbert space shattering: from theory to physical realizations
- Local constraints can globally shatter Hilbert space: a new route to quantum information protection
- Quantum scarred eigenstates in a Rydberg atom chain: entanglement, breakdown of thermalization, and stability to perturbations
- Ergodicity-breaking arising from Hilbert space fragmentation in dipole-conserving Hamiltonians
- Controlling many-body dynamics with driven quantum scars in Rydberg atom arrays
- Ising models of quantum frustration
- Emergent SU(2) dynamics and perfect quantum many-body scars
- Real time confinement following a quantum quench to a non-integrable model
- Periodic orbits, entanglement and quantum many-body scars in constrained models: matrix product state approach
- Quantum simulation and computing with Rydberg-interacting qubits
- Quantum Link Models: A Discrete Approach to Gauge Theories
- Exact Quantum Many-Body Scar States in the Rydberg-Blockaded Atom Chain
- Atomic Quantum Simulation of U(N) and SU(N) Non-Abelian Lattice Gauge Theories
- Lattice gauge theories and string dynamics in Rydberg atom quantum simulators
- Competing density-wave orders in a one-dimensional hard-boson model
- Signatures of integrability in the dynamics of Rydberg-blockaded chains
- Hilbert-Space Fragmentation from Strict Confinement
- Probing quench dynamics across a quantum phase transition into a 2D Ising antiferromagnet
- Statistical localization: from strong fragmentation to strong edge modes
- Interacting Fibonacci anyons in a Rydberg gas
- Observing the space- and time-dependent growth of correlations in dynamically tuned synthetic Ising antiferromagnets
- Confined Quasiparticle Dynamics in Long-Range Interacting Quantum Spin Chains
- Quantum Many-Body Scars and Space-Time Crystalline Order from Magnon Condensation
- Dynamics of many-body localisation in a translation invariant quantum glass model
- Dynamics of strongly interacting systems: From Fock-space fragmentation to Many-Body Localization
- The antiferromagnetic Ising chain in a mixed transverse and longitudinal magnetic field
- Emerging 2D Gauge theories in Rydberg configurable arrays
- Quantum scars as embeddings of weakly "broken" Lie algebra representations
- Quantum Many-Body Scar States in Two-Dimensional Rydberg Atom Arrays
- Thermalization and its absence within Krylov subspaces of a constrained Hamiltonian
- Quantum East model: localization, non-thermal eigenstates and slow dynamics
- Correspondence principle for many-body scars in ultracold Rydberg atoms
- Quantum scars of bosons with correlated hopping
- The quantum adiabatic algorithm and scaling of gaps at first order quantum phase transitions
- Stabilizing two-dimensional quantum scars by deformation and synchronization
- Energy spectrum of bound-spinons in the quantum Ising spin-chain ferromagnet
- How does a locally constrained quantum system localize?
- Fractons from confinement in one dimension
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- Ergodicity Breaking Under Confinement in Cold-Atom Quantum Simulators
- Quantum order-by-disorder induced phase transition in Rydberg ladders with staggered detuning
- Probing Hilbert Space Fragmentation with Strongly Interacting Rydberg Atoms
- Quantum many-body scars in spin-1 Kitaev chain with uniaxial single-ion anisotropy
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- Exploring quantum criticality and ergodicity-breaking dynamics in spin-1 Kitaev chains via single-ion anisotropies