Interferometric probes of many-body localization
arXiv:1403.0693 · doi:10.1103/PhysRevLett.113.147204
Abstract
We propose a method for detecting many-body localization (MBL) in disordered spin systems. The method involves pulsed, coherent spin manipulations that probe the dephasing of a given spin due to its entanglement with a set of distant spins. It allows one to distinguish the MBL phase from a non-interacting localized phase and a delocalized phase. In particular, we show that for a properly chosen pulse sequence the MBL phase exhibits a characteristic power-law decay reflecting its slow growth of entanglement. We find that this power-law decay is robust with respect to thermal and disorder averaging, provide numerical simulations supporting our results, and discuss possible experimental realizations in solid-state and cold atom systems.
arXiv comment5 pages, 4 figures
References in corpus (33)
- The nitrogen-vacancy colour centre in diamond
- Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
- Localization of interacting fermions at high temperature
- A High Phase-Space-Density Gas of Polar Molecules
- The many-body localization phase transition
- NMR Techniques for Quantum Control and Computation
- Unbounded growth of entanglement in models of many-body localization
- Many body localization in Heisenberg XXZ magnet in a random field
- Interacting electrons in disordered wires: Anderson localization and low-temperature transport
- Local conservation laws and the structure of the many-body localized states
- Realizing a lattice spin model with polar molecules
- Time-resolved Observation and Control of Superexchange Interactions with Ultracold Atoms in Optical Lattices
- Universal slow growth of entanglement in interacting strongly disordered systems
- Quantum dynamics of a single, mobile spin impurity
- Area laws in a many-body localized state and its implications for topological order
- Coherent transport of neutral atoms in spin-dependent optical lattice potentials
- Localization protected quantum order
- Many-Body Localization in a Quasiperiodic System
- Many-body localization in one dimension as a dynamical renormalization group fixed point
- Observation of Elastic Doublon Decay in the Fermi-Hubbard Model
- Many-body Localization and Symmetry Protected Topological Order
- Time dependent impurity in ultracold fermions: orthogonality catastrophe and beyond
- The Hilbert-glass transition: new universality of temperature-tuned many-body dynamical quantum criticality
- Dynamical quantum phase transitions in random spin chains
- Spectral features of a many-body localized system weakly coupled to a heat bath
- Disordered insulator in an optical lattice
- Probing real-space and time resolved correlation functions with many-body Ramsey interferometry
- Many-body localization transition in a lattice model of interacting fermions: statistics of renormalized hoppings in configuration space
- Long timescale dynamics of spin textures in a degenerate F=1 Rb spinor Bose gas
- Ideal quantum glass transitions: many-body localization without quenched disorder
- Level statistics of disordered spin-1/2 systems and its implications for materials with localized Cooper pairs
- Quantum diffusion with disorder, noise and interaction
- Suppression of inelastic electron-electron scattering in Anderson Insulators
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- Programmable Quantum Simulations of Spin Systems with Trapped Ions
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- Out-of-Time-Order Correlation for Many-Body Localization
- Signatures of Many-Body Localization in a Controlled Open Quantum System
- Observation of Slow Dynamics near the Many-Body Localization Transition in One-Dimensional Quasiperiodic Systems
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- Probing Slow Relaxation and Many-Body Localization in Two-Dimensional Quasi-Periodic Systems
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- Far-from-equilibrium spin transport in Heisenberg quantum magnets
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- Review: Local Integrals of Motion in Many-Body Localized systems
- Nonequilibrium quantum dynamics and transport: from integrability to many-body localization
- Scrambling and thermalization in a diffusive quantum many-body system
- Rare region effects and dynamics near the many-body localization transition
- Low-frequency conductivity in many-body localized systems
- Quantum quenches in the many-body localized phase
- Out-of-time-order correlations in many-body localized and thermal phases
- Dynamics at the Many-Body Localization Transition
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- Dynamics of many-body localisation in a translation invariant quantum glass model
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- Many-Body Delocalization in Strongly Disordered System with Long-Range Interactions: Finite Size Scaling
- Characterizing Many-Body Localization by Out-of-Time-Ordered Correlation
- Quantum revivals and many-body localization
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- Scaling Theory of Entanglement at the Many-Body Localization Transition
- Power-Law Entanglement Spectrum in Many-Body Localized Phases
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- Purification and many-body localization in cold atomic gases
- Localization in a random model with the long-range interaction: Intermediate case between single particle and many-body problems
- Many-body localization in disorder-free systems: the importance of finite-size constraints
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- Spectral Lyapunov exponents in chaotic and localized many-body quantum systems
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- Many-body localization in long range model: Real space renormalization group study
- Almost-conserved operators in nearly many-body localized systems
- Characterizing time-irreversibility in disordered fermionic systems by the effect of local perturbations
- Probing the out-of-equilibrium dynamics of two interacting atoms
- Transient and persistent particle subdiffusion in a disordered chain coupled to bosons
- Distinguishing an Anderson Insulator from a Many-Body Localized phase through space-time snapshots with Neural Networks
- Echo spectroscopy of Anderson localization
- Loschmidt echo in many-spin systems: contrasting time-scales of local and global measurements
- Localization of Extended Quantum Objects
- Entanglement complexity of the Rokhsar-Kivelson-sign wavefunctions
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- Relationship between the transverse-field Ising model and the XY model via the rotating-wave approximation
- Analyzing many-body localization with a quantum computer
- Dynamics and Asymptotics of Correlations in a Many-Body Localized System
- Comment on "Many-body localization in Ising models with random long-range interactions"
- Effective time reversal and echo dynamics in the transverse field Ising model
- Boltzmann transport theory for many body localization
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- Real-time dynamics of 1D and 2D bosonic quantum matter deep in the many-body localized phase
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