Quench Dynamics and Hall Response of Interacting Chern Insulators
arXiv:1811.12782 · doi:10.1103/PhysRevB.100.041101
Abstract
We study the coherent non-equilibrium dynamics of interacting two-dimensional systems after a quench from a trivial to a topological Chern insulator phase. While the many-body wavefunction is constrained to remain topologically trivial under local unitary evolution, we find that the Hall response of the system can dynamically approach a thermal value of the post-quench Hamiltonian, even though the efficiency of this thermalization process is shown to strongly depend on the microscopic form of the interactions. Quite remarkably, the effective temperature of the steady state Hall response can be arbitrarily tuned with the quench parameters. Our findings suggest a new way of inducing and observing low temperature topological phenomena in interacting ultracold atomic gases, where the considered quench scenario can be realized in current experimental set-ups.
arXiv comment8 pages, 8 figures (including supplemental material)
References in corpus (48)
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- Experimental realisation of the topological Haldane model
- Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices
- Observation of Floquet-Bloch states on the surface of a topological insulator
- Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices
- Local unitary transformation, long-range quantum entanglement, wave function renormalization, and topological order
- Nonequilibrium dynamical mean-field theory and its applications
- Realization of Two-Dimensional Spin-orbit Coupling for Bose-Einstein Condensates
- Topological Quantum Matter with Ultracold Gases in Optical Lattices
- Topology by Dissipation in Atomic Quantum Wires
- Experimental reconstruction of the Berry curvature in a topological Bloch band
- Prethermalization
- Interaction Quench in the Hubbard model
- Dynamical phase transition in correlated fermionic lattice systems
- Correlation Effects in Quantum Spin-Hall Insulators: A Quantum Monte Carlo Study
- Out of equilibrium electrons and the Hall conductance of a Floquet topological insulator
- Universal dynamics of a degenerate unitary Bose gas
- From Cosmology to Cold Atoms: Observation of Sakharov Oscillations in Quenched Atomic Superfluids
- Pre-thermalization in a non-integrable quantum spin chain after a quench
- Measuring quantized circular dichroism in ultracold topological matter
- Quantum Quenches in Chern Insulators
- Probing topology by "heating": Quantized circular dichroism in ultracold atoms
- First order character and observable signatures of topological quantum phase transitions
- Probing the topology of density matrices
- Charge dynamics in molecular junctions: Nonequilibrium Green's Function approach made fast
- Dynamical Buildup of a Quantized Hall Response from Non-Topological States
- Fluctuation driven topological Hund insulators
- Topology of one dimensional quantum systems out of equilibrium
- Nonequilibrium dynamics in the one-dimensional Fermi-Hubbard model: A comparison of the nonequilibrium Green functions approach and the density matrix renormalization group method
- First-principles nonequilibrium Green's function approach to transient photoabsorption: Application to atoms
- Optical Hall conductivity of a Floquet Topological Insulator
- Detecting fractional Chern insulators through circular dichroism
- Universal Optical Control of Chiral Superconductors and Majorana Modes
- Many-body Chern number without integration
- Charge separation in donor-C60 complexes with real-time Green's functions: The importance of nonlocal correlations
- Stopping dynamics of ions passing through correlated honeycomb clusters
- Universal nonanalytic behavior of the Hall conductance in a Chern insulator at the topologically driven nonequilibrium phase transition
- Tracing the nonequilibrium topological state of Chern insulators
- Quantized Rabi Oscillations and Circular Dichroism in Quantum Hall Systems
- Spectral properties from Matsubara Green's function approach - application to molecules
- Coexistence of metallic edge states and anti-ferromagnetic ordering in correlated topological insulators
- Slow quenches in two-dimensional time-reversal symmetric Z2 topological insulators
- Time-resolved Hall conductivity of pulse-driven topological quantum systems
- Dissipative time evolution of a chiral state after a quantum quench
- Dynamical Equilibration of Topological Properties
- Scheme to Equilibrate the Quantized Hall Response of Topological Systems from Coherent Dynamics
- Universal non-analytic behavior of the non-equilibrium Hall conductance in Floquet topological insulators
Cited by in corpus (19)
- Local Berry curvature signatures in dichroic angle-resolved photoelectron spectroscopy
- Cavity Quantum-Electrodynamical Chern Insulator: Route Towards Light-Induced Quantized Anomalous Hall Effect in Graphene
- How Circular Dichroism in time- and angle-resolved photoemission can be used to spectroscopically detect transient topological states in graphene
- Light-induced anomalous Hall effect in massless Dirac fermion systems and topological insulators with dissipation
- Low rank compression in the numerical solution of the nonequilibrium Dyson equation
- Comparing the generalized Kadanoff-Baym ansatz with the full Kadanoff-Baym equations for an excitonic insulator out of equilibrium
- Gauge invariance of light-matter interactions in first-principle tight-binding models
- Ultrafast nonequilibrium evolution of excitonic modes in semiconductors
- A many-body approach to transport in quantum systems: From the transient regime to the stationary state
- A quantum Boltzmann equation for strongly correlated electrons
- Memory truncated Kadanoff-Baym equations
- Electronic transport in molecular junctions: The generalized Kadanoff-Baym ansatz with initial contact and correlations
- Quench Dynamics in 1D Optomechanical Arrays
- Coherent Modulation of Quasiparticle Scattering Rates in a Photoexcited Charge-Density-Wave System
- Dynamically Induced Exceptional Phases in Quenched Interacting Semimetals
- Photoinduced anomalous Hall effect in the interacting Haldane model: targeting topological states with pump pulses
- Interacting electrons in a flat-band system within the Generalized Kadanoff-Baym Ansatz
- Dynamical signatures of symmetry protected topology following symmetry breaking
- Theory of subcycle time-resolved photoemission: application to terahertz photodressing in graphene