Dissipative preparation of many-body Floquet Chern insulators

Abstract

Considering coupling to a micro-structured bath as a relaxation mechanism in a periodically driven dissipative Haldane model, we establish that the system may be tuned to a stroboscopic topological steady state at all finite temperatures. The amplitude and frequency of the periodic drive is so chosen that the Floquet Hamiltonian describing the Haldane model at stroboscopic instants of time in the unitary situation is topologically non-trivial. We establish that in the stroboscopic steady state, the system reaches a thermal state of the Floquet Hamiltonian at a controlled temperature. Further, it is observed that even with a coupling to a quasi-local bath, remarkably a Chern insulator can indeed be prepared in a Chern non-trivial pure steady state which is expected to exhibit a stroboscopic bulk-boundary correspondence. Using the non-uniqueness of the macroscopic bulk electric polarisation of a Chern insulator in its topological phase, we propose a generalised Chern invariant that reflects the topology of out-of-equilibrium many-body stroboscopic states of the Haldane model even in a dissipative ambience. The generalised topology of dynamical Chern insulators being dependent on single-particle correlations, is expected to manifest in experiments probing many-body quantum observables.

arXiv comment17 page, 6 figures, text overlap in the appendix with arXiv: 2005.01455, text modified, new citations added

References in corpus (84)

• Topological Insulators
• Quantum Spin Hall Effect in Graphene
• Fault-tolerant quantum computation by anyons
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Berry Phase Effects on Electronic Properties
• Anyons in an exactly solved model and beyond
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Unpaired Majorana fermions in quantum wires
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Helical liquids and Majorana bound states in quantum wires
• New directions in the pursuit of Majorana fermions in solid state systems
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Detecting topological order in a ground state wave function
• A generic new platform for topological quantum computation using semiconductor heterostructures
• Search for Majorana fermions in superconductors
• Floquet Topological Insulator in Semiconductor Quantum Wells
• Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
• Photovoltaic Hall effect in graphene
• Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
• Observation of the fractional ac Josephson effect: the signature of Majorana particles
• Transport properties of non-equilibrium systems under the application of light: Photo-induced quantum Hall insulators without Landau levels
• Topological orders and Edge excitations in FQH states
• Dynamical Quantum Phase Transitions in the Transverse Field Ising Model
• Light-induced anomalous Hall effect in graphene
• Introduction to topological superconductivity and Majorana fermions
• Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
• Superconductor-Nanowire Devices from Tunneling to the Multichannel Regime: Zero-Bias Oscillations and Magnetoconductance Crossover
• Anomalous modulation of a zero bias peak in a hybrid nanowire-superconductor device
• Non-Abelian Topological Order in S-Wave Superfluids of Ultracold Fermionic Atoms
• Topological Quantum Matter with Ultracold Gases in Optical Lattices
• Dynamical quantum phase transitions: a review
• Topology by Dissipation in Atomic Quantum Wires
• Floquet topological insulators
• Non-Abelian quantum order in spin-orbit-coupled semiconductors: The search for topological Majorana particles in solid state systems
• Majorana Fermions in Semiconductor Nanowires: Fundamentals, Modeling, and Experiment
• $p_x+i{p}_y$ superfluid from s-wave interactions of fermionic cold atoms
• Topology by dissipation
• Floquet generation of Majorana end modes and topological invariants
• Multiterminal Conductance of a Floquet Topological Insulator
• Dynamical Topological Order Parameters far from Equilibrium
• Out of equilibrium electrons and the Hall conductance of a Floquet topological insulator
• A Short Introduction to Topological Quantum Computation
• Topological classification of dynamical phase transitions
• Transport signatures of Floquet Majorana fermions in driven topological superconductors
• Dynamical preparation of Floquet Chern insulators
• Microscopic theory for the light-induced anomalous Hall effect in graphene
• Schrieffer-Wolff Transformation for Periodically Driven Systems: Strongly Correlated Systems with Artificial Gauge Fields
• Topology induced anomalous defect production by crossing a quantum critical point
• Quantum Quenches in Chern Insulators
• Slow quenches in a quantum Ising chain; dynamical phase transitions and topology
• Mixed state dynamical quantum phase transition and emergent topology
• Dynamical Topological Quantum Phase Transitions for Mixed States
• Dissipative preparation of Chern insulators
• Density Matrix Topological Insulators
• Probing the topology of density matrices
• Quantum quench in a p + i p superfluid: Winding numbers and topological states far from equilibrium
• Probing the role of long-range interactions in the dynamics of a long-range Kitaev Chain
• Electric polarization in a Chern insulator
• Quench-induced Floquet topological p-wave superfluids
• Topology of one dimensional quantum systems out of equilibrium
• Emergent topology and dynamical quantum phase transitions in two-dimensional closed quantum systems
• Persistent Hall response in a quantum quench
• Topological Invariants for Quantum Quench Dynamics from Unitary Evolution
• Probing Atomic Majorana Fermions in Optical Lattices
• Stretched exponential decay of Majorana edge modes in many-body localized Kitaev chains under dissipation
• Light-induced anomalous Hall effect in massless Dirac fermion systems and topological insulators with dissipation
• Interconnections between equilibrium topology and dynamical quantum phase transitions in a linearly ramped Haldane model
• Dynamical criticality and domain-wall coupling in long-range Hamiltonians
• Is there a Floquet Lindbladian?
• Growth of mutual information in a quenched one-dimensional open quantum many body system
• Survival probability of an edge Majorana in a 1-D p-wave superconducting chain under sudden quenching of parameters
• Quench Dynamics of Edge States in 2-D Topological Insulator Ribbons
• Dissipation-induced topological insulators: A no-go theorem and a recipe
• Generation of strain-induced pseudo-magnetic field in a doped type-II Weyl semimetal
• Exploring the possibilities of dynamical quantum phase transitions in the presence of a Markovian bath
• Signatures of topology in quantum quench dynamics and their interrelation
• Quenching in Chern insulators with satellite Dirac points: The fate of edge states
• Dynamical generation of Majorana edge correlations in a ramped Kitaev chain coupled to nonthermal dissipative channels
• Dynamics of edge current in a linearly quenched Haldane model
• Temporal variation in the winding number due to dynamical symmetry breaking and associated transport in a driven SSH chain
• Dynamical preparation of a topological state and out of equilibrium bulk boundary correspondence in a SSH chain under periodic driving
• Long time asymptotic state of periodically driven open quantum systems
• Unitary preparation of many body Chern insulators: Adiabatic bulk boundary correspondence

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• Diffusive modes of two-band fermions under number-conserving dissipative dynamics
• Emergent topological phases and coexistence of gapless and spectral-localized Floquet quantum spin Hall states via electron-phonon interaction
• Dissipation-Induced Steady States in Topological Superconductors: Mechanisms and Design Principles
• Instability of the engineered dark state in two-band fermions under number-conserving dissipative dynamics
• Asymptotic Exceptional Steady States in Dissipative Dynamics
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• Feedback cooling of fermionic atoms in optical lattices