Ergodic-localized junctions in periodically-driven systems
arXiv:1807.00080 · doi:10.1103/PhysRevB.98.224307
Abstract
Quantum phases of matter have many relevant applications in quantum computation and quantum information processing. Current experimental feasibilities in diverse platforms allow us to couple two or more subsystems in different phases. In this letter, we investigate the situation where one couples two domains of a periodically-driven spin chain where one of them is ergodic while the other is fully localized. By combining tools of both graph and Floquet theory, we show that the localized domain remains stable for strong disorder, but as this disorder decreases the localized domain becomes ergodic.
arXiv comment10 pages, 5 figures. Published in Physical Review B on December 20 2018
References in corpus (59)
- Many body localization and thermalization in quantum statistical mechanics
- Critical phenomena in complex networks
- Anderson Transitions
- Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
- Observation of many-body localization of interacting fermions in a quasi-random optical lattice
- Universal High-Frequency Behavior of Periodically Driven Systems: from Dynamical Stabilization to Floquet Engineering
- Continuous Quantum Phase Transitions
- Atomic quantum gases in periodically driven optical lattices
- Exploring the many-body localization transition in two dimensions
- Floquet Time Crystals
- Many-body localization in a quantum simulator with programmable random disorder
- High-frequency approximation for periodically driven quantum systems from a Floquet-space perspective
- Dynamical control of matter-wave tunneling in periodic potentials
- Discrete time crystals: rigidity, criticality, and realizations
- Equilibrium states of generic quantum systems subject to periodic driving
- Long-time behavior of periodically driven isolated interacting lattice systems
- Many-body localization in periodically driven systems
- Universal dynamics and renormalization in many body localized systems
- Superfluid-insulator transition in a periodically driven optical lattice
- Time crystals: a review
- Spectral signatures of many-body localization with interacting photons
- A blueprint for demonstrating quantum supremacy with superconducting qubits
- Floquet-Magnus Theory and Generic Transient Dynamics in Periodically Driven Many-Body Quantum Systems
- Localization and Mobility Edge in One-Dimensional Potentials with Correlated Disorder
- Fate of many-body localization under periodic driving
- Stability and instability towards delocalization in MBL systems
- Coupling Identical 1D Many-Body Localized Systems
- Exploring the Single-Particle Mobility Edge in a One-Dimensional Quasiperiodic Optical Lattice
- Quantum simulations and many-body physics with light
- Signatures of Many-Body Localization in a Controlled Open Quantum System
- Anderson localization on the Bethe lattice: non-ergodicity of extended states
- Emulating many-body localization with a superconducting quantum processor
- Many-body energy localization transition in periodically driven systems
- Critical Properties of the Many-Body Localization Transition
- Floquet-Markov description of the parametrically driven, dissipative harmonic quantum oscillator
- How a small quantum bath can thermalize long localized chains
- Many-body delocalization as a quantum avalanche
- Anderson localization on random regular graphs
- Non-ergodic phases in strongly disordered random regular graphs
- Scaling theory of the Anderson transition in random graphs: ergodicity and universality
- Preservation of Positivity by Dynamical Coarse-Graining
- One-dimensional Anderson localization in certain correlated random potentials
- Random matrix analysis of complex networks
- Multifractality of wave functions on a Cayley tree: From root to leaves
- Shielding and localization in presence of long range hopping
- A many body localization proximity effect
- Driven open quantum systems and Floquet stroboscopic dynamics
- Localization with random time-periodic quantum circuits
- Many-body localization in the presence of a small bath
- Single-atom density of states of an optical lattice
- Thermal inclusions: how one spin can destroy a many-body localized phase
- Absence of Thermalization in Finite Isolated Interacting Floquet Systems
- How periodic driving heats a disordered quantum spin chain
- Entanglement and parametric resonance in driven quantum systems
- Quantum Spin Lenses in Atomic Arrays
- Many body localization proximity effects in platforms of coupled spins and bosons
- Localization in random bipartite graphs: numerical and empirical study
- Realistic model of correlated disorder and Anderson localization
- Enhancing quantum coherence with short-range correlated disorder
Cited by in corpus (9)
- Simulating complex quantum networks with time crystals
- Quantum reservoir computation utilising scale-free networks
- Ergodic-localized junctions in a periodically-driven spin chain
- Continuous-time quantum walk spatial search on the Bollobás scale-free network
- Bounding first-order quantum phase transitions in adiabatic quantum computing
- Fully-programmable universal quantum simulator with a one-dimensional quantum processor
- Quantum metamorphism
- Time crystal embodies chimeralike state in periodically driven quantum spin system
- Quantum fingerprints of self-organization in spin chains coupled to a Kuramoto model