Asymmetric Particle Transport and Light-Cone Dynamics Induced by Anyonic Statistics
arXiv:1809.02614 · doi:10.1103/PhysRevLett.121.250404
Abstract
We study the non-equilibrium dynamics of Abelian anyons in a one-dimensional system. We find that the interplay of anyonic statistics and interactions gives rise to spatially asymmetric particle transport together with a novel dynamical symmetry that depends on the anyonic statistical angle and the sign of interactions. Moreover, we show that anyonic statistics induces asymmetric spreading of quantum information, characterized by asymmetric light cones of out-of-time-ordered correlators. Such asymmetric dynamics is in sharp contrast with the dynamics of conventional fermions or bosons, where both the transport and information dynamics are spatially symmetric. We further discuss experiments with cold atoms where the predicted phenomena can be observed using state-of-the-art technologies. Our results pave the way toward experimentally probing anyonic statistics through non-equilibrium dynamics.
arXiv commentMinor changes, as accepted in PRL
References in corpus (73)
- Many-Body Physics with Ultracold Gases
- Fault-tolerant quantum computation by anyons
- Non-Abelian Anyons and Topological Quantum Computation
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Anyons in an exactly solved model and beyond
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Non-Abelian statistics and topological quantum information processing in 1D wire networks
- Quantum many-body systems out of equilibrium
- Quantum thermalization through entanglement in an isolated many-body system
- Observation of a Many-Body Dynamical Phase Transition with a 53-Qubit Quantum Simulator
- Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
- Light-cone-like spreading of correlations in a quantum many-body system
- Operator Spreading in Random Unitary Circuits
- Topologically-Protected Qubits from a Possible Non-Abelian Fractional Quantum Hall State
- Operator hydrodynamics, OTOCs, and entanglement growth in systems without conservation laws
- Direct observation of dynamical quantum phase transitions in an interacting many-body system
- Measuring the scrambling of quantum information
- Fermionic transport in a homogeneous Hubbard model: Out-of-equilibrium dynamics with ultracold atoms
- Exotic non-Abelian anyons from conventional fractional quantum Hall states
- Observation of a dynamical topological phase transition
- An exact chiral spin liquid with non-Abelian anyons
- Universal topological quantum computation from a superconductor/Abelian quantum Hall heterostructure
- Detecting Non-Abelian Statistics in the nu=5/2 Fractional Quantum Hall State
- Proposed experiments to probe the non-abelian ν=5/2 quantum Hall state
- Spreading of correlations and entanglement after a quench in the one-dimensional Bose-Hubbard model
- Expansion dynamics of interacting bosons in homogeneous lattices in one and two dimensions
- Out-of-Time-Order Correlation for Many-Body Localization
- Chiral spin liquid and emergent anyons in a Kagome lattice Mott insulator
- Slow scrambling in disordered quantum systems
- Out-of-time-ordered correlators in many-body localized systems
- Superconducting Proximity Effect on the Edge of Fractional Topological Insulators
- Scrambling and thermalization in a diffusive quantum many-body system
- Statistically induced Phase Transitions and Anyons in 1D Optical Lattices
- Exact Dynamical Correlation Functions of Calogero-Sutherland Model and One-Dimensional Fractional Statistics
- Floquet engineering of correlated tunneling in the Bose-Hubbard model with ultracold atoms
- Thermodynamics of an one-dimensional ideal gas with fractional exclusion statistics
- Information propagation in isolated quantum systems
- From Cosmology to Cold Atoms: Observation of Sakharov Oscillations in Quenched Atomic Superfluids
- Exact solution of double-delta function Bose gas through interacting anyon gas
- Measurement of many-body chaos using a quantum clock
- The 1D interacting anyon gas: low-energy properties and Haldane exclusion statistics
- Observation of density-dependent gauge fields in a Bose-Einstein condensate based on micromotion control in a shaken two-dimensional lattice
- The Anyon Hubbard Model in One-Dimensional Optical Lattices
- Out-of-Time-Order Correlation at a Quantum Phase Transition
- Characterizing Many-Body Localization by Out-of-Time-Ordered Correlation
- Anyon-fermion mapping and applications to ultracold gases in tight waveguides
- Numerical study of the chiral quantum phase transition in one spatial dimension
- Fermionization and bosonization of expanding 1D anyonic fluids
- Floquet realization and signatures of one-dimensional anyons in an optical lattice
- Quantum thermalization dynamics with Matrix-Product States
- Quantum field theory for the chiral clock transition in one spatial dimension
- Correlation functions of one-dimensional anyonic fluids
- Nonequilibrium dynamics of one-dimensional hard-core anyons following a quench: Complete relaxation of one-body observables
- Universal Logarithmic Scrambling in Many Body Localization
- Information scrambling in chaotic systems with dissipation
- Resilience of scrambling measurements
- Ground-state properties of one-dimensional anyon gases
- Energy transport in an integrable parafermionic chain via generalized hydrodynamics
- Ground-state properties of hard-core anyons in one-dimensional optical lattices
- Statistics of fractionalized excitations through threshold spectroscopy
- Bosonization of One-Dimensional Exclusons and Characterization of Luttinger Liquids
- Dynamical properties of hard-core anyons in one-dimensional optical lattices
- Ground-state properties of anyons in a one-dimensional lattice
- Statistical Phases and Momentum Spacings for One-Dimensional Anyons
- One-Dimensional XXZ Model for Particles Obeying Fractional Statistics
- Relaxation dynamics of a Fermi gas in an optical superlattice
- Strongly interacting mesoscopic systems of anyons in one dimension
- Critical points of the anyon-Hubbard model
- Anyonic Haldane insulator in one dimension
- Symmetry Protected Dynamical Symmetry in the Generalized Hubbard Models
- Creating anyons from photons using a nonlinear resonator lattice subject to dynamic modulation
- Three-body interaction effects on the ground state of one-dimensional anyons
- Transport properties of anyons in random topological environments
Cited by in corpus (22)
- Lieb-Robinson bound and almost-linear light-cone in interacting boson systems
- Quantum Information Scrambling in Quantum Many-body Scarred Systems
- One-particle density matrix of a trapped Lieb-Liniger anyonic gas
- Dynamical suppression of many-body non-Hermitian skin effect in Anyonic systems
- Statistically related many-body localization in the one-dimensional anyon Hubbard model
- Coarse-grained Entanglement and Operator Growth in Anomalous Dynamics
- Exact Dynamical Correlations of Hard-Core Anyons in One-Dimensional Lattices
- Asymmetric butterfly velocities in Hamiltonian and circuit models
- Asymmetric butterfly velocities in 2-local Hamiltonians
- Anyon optics with time-of-flight two-particle interference of double-well-trapped interacting ultracold atoms
- Correlations, Dynamics, and Interferometry of Anyons in the Lowest Landau Level
- Operator Spreading in the Memory Matrix Formalism
- Quantum computation from fermionic anyons on a 1D lattice
- Many-body critical non-Hermitian skin effect
- Quantum Alchemy and Universal Orthogonality Catastrophe in One-Dimensional Anyons
- Approaching off-diagonal long-range order for 1+1-dimensional relativistic anyons
- Asymmetric Transport in Long-Range Interacting Chiral Spin Chains
- Anomalous Quantum Information Scrambling for Parafermion Chains
- Chirally-protected state manipulation by tuning one-dimensional statistics
- Directional scrambling of quantum information in helical multiferroics
- Universal properties and dynamical bosonization of strongly interacting one-dimensional anyons
- Boson-Anyon-Fermion Mapping and Anyon Construction in One Dimension