Symmetry enhanced boundary qubits at infinite temperature
arXiv:1912.05546 · doi:10.1103/PhysRevLett.125.200506
Abstract
The symmetry protected topological (SPT) phase hosts a robust boundary qubit at zero temperature. At finite energy density, the SPT phase is destroyed and bulk observables equilibrate in finite time. Nevertheless, we predict parametric regimes in which the boundary qubit survives to arbitrarily high temperature, with an exponentially longer coherence time than that of the thermal bulk degrees of freedom. In a dual picture, the persistence of the qubit stems from the inability of the bulk to absorb the virtual domain walls emitted by the edge during the relaxation process. We confirm the long coherence time by exact diagonalization and connect it to the presence of a pair of conjugate almost strong zero modes. Our results provide a route to experimentally construct long-lived coherent boundary qubits at infinite temperature in disorder-free systems.
arXiv comment6 pages, 3 figures
References in corpus (42)
- Unpaired Majorana fermions in quantum wires
- Many body localization and thermalization in quantum statistical mechanics
- Observation of many-body localization of interacting fermions in a quasi-random optical lattice
- Entanglement spectrum of a topological phase in one dimension
- Symmetry protected topological orders and the group cohomology of their symmetry group
- Exploring the many-body localization transition in two dimensions
- Many-body localization in a quantum simulator with programmable random disorder
- An atom-by-atom assembler of defect-free arbitrary 2d atomic arrays
- Topological phases of fermions in one dimension
- Symmetry Protected Topological phases of Quantum Matter
- Braiding statistics approach to symmetry-protected topological phases
- Recent progress in many-body localization
- Parafermionic edge zero modes in Z_n-invariant spin chains
- Periodically Driving a Many-Body Localized Quantum System
- A Rigorous Theory of Many-Body Prethermalization for Periodically Driven and Closed Quantum Systems
- Signatures of Many-Body Localization in a Controlled Open Quantum System
- Coherent many-body spin dynamics in a long-range interacting Ising chain
- Symmetry protected topological phases from decorated domain walls
- Alkaline earth atoms in optical tweezers
- Many-body Localization and Symmetry Protected Topological Order
- Microscopic control and detection of ultracold strontium in optical-tweezer arrays
- Designing Frustrated Quantum Magnets with Laser-Dressed Rydberg Atoms
- Uhlmann Phase as a Topological Measure for One-Dimensional Fermion Systems
- Narrow-line cooling and imaging of Ytterbium atoms in an optical tweezer array
- Quantum magnetism and topological ordering via enhanced Rydberg-dressing near Förster-resonances
- Strong zero modes and eigenstate phase transitions in the XYZ/interacting Majorana chain
- Microscopy of a scalable superatom
- Floquet symmetry-protected topological phases in cold atomic systems
- Quantum phase transition between cluster and antiferromagnetic states
- Symmetry Protected Topological States of Interacting Fermions and Bosons
- Anomalous broadening in driven dissipative Rydberg systems
- Stability of zero modes in parafermion chains
- Long coherence times for edge spins
- Long-Range Prethermal Phases of Nonequilibrium Matter
- Long-lived interacting phases of matter protected by multiple time-translation symmetries in quasiperiodically-driven systems
- Prethermal Strong Zero Modes and Topological Qubits
- Stroboscopic Symmetry-Protected Topological Phases
- Demonstration of the Jaynes-Cummings ladder with Rydberg-dressed atoms
- Protection of topological order by symmetry and many-body localization
- Topologically-Protected Long Edge Coherence Times in Symmetry-Broken Phases
- Enhancing correlation times for edge spins through dissipation
- Parafermionic clock models and quantum resonance
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- A constructive theory of the numerically accessible many-body localized to thermal crossover
- Long-lived period-doubled edge modes of interacting and disorder-free Floquet spin chains
- Topological and symmetry-enriched random quantum critical points
- Quantum scars and bulk coherence in a symmetry-protected topological phase
- Observation of topological prethermal strong zero modes
- Strong zero modes in integrable quantum circuits
- Decay rates of almost strong modes in Floquet spin chains beyond Fermi's Golden Rule
- Edge modes and symmetry-protected topological states in open quantum systems
- Topological Defects in Floquet Circuits
- Emergent strong zero mode through local Floquet engineering
- Slowly decaying zero mode in a weakly non-integrable boundary impurity model
- A Universal Model of Floquet Operator Krylov Space
- Almost Strong Zero Modes at Finite Temperature
- Renormalization view on resonance proliferation between many-body localized phases
- Floquet Product Mode
- Localization and slow-thermalization in a cluster spin model
- Strong and almost strong modes of Floquet spin chains in Krylov subspaces
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