Temporal variation in the winding number due to dynamical symmetry breaking and associated transport in a driven SSH chain
arXiv:1904.09097 · doi:10.1103/PhysRevB.100.054305
Abstract
Considering a BDI symmetric one-dimensional SSH model, we explore the fate of the bulk topological invariant, namely, the winding number under a generic time dependent perturbation; the effective Hamiltonian, that generates the temporal evolution of the initial (ground) state of the completely symmetric initial Hamiltonian, may have the same or different symmetries. To exemplify, we consider the following protocols, namely (i) a perfectly periodic protocol (ii) a periodic protocol with noisy perturbations and also (iii) sudden changes in the parameters of the initial Hamiltonian. We establish that the topological invariant may change in some cases when the effective Hamiltonian (or the Floquet Hamiltonian in the periodic situation when observed stroboscopically) does not respect all BDI symmetries; this is manifested in the associated particle (polarisation) or heat current in the bulk. Our results establish a strong connection between the time evolution of the winding number (thus, the associated transport of currents) and the symmetry of the Hamiltonian generating the time evolution which has been illustrated considering an exhaustive set of possibilities.
arXiv comment11 pages, 4 figures
References in corpus (84)
- Many-Body Physics with Ultracold Gases
- Quantum Spin Hall Effect in Graphene
- Fault-tolerant quantum computation by anyons
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- 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
- Novel Symmetry Classes in Mesoscopic Normal-Superconducting Hybrid Structures
- Experimental realisation of the topological Haldane model
- 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
- Topological characterization of periodically-driven quantum systems
- 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
- Direct Measurement of the Zak phase in Topological Bloch Bands
- Topological Bands for Ultracold Atoms
- Topological phases of fermions in one dimension
- Introduction to topological superconductivity and Majorana fermions
- 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
- Majorana Fermions in Equilibrium and Driven Cold Atom Quantum Wires
- Non-Abelian Topological Order in S-Wave Superfluids of Ultracold Fermionic Atoms
- Visualizing edge states with an atomic Bose gas in the quantum Hall regime
- Exploring Topological Phases With Quantum Walks
- Transport and conservation laws
- 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
- Floquet-Bloch theory and topology in periodically driven lattices
- superfluid from s-wave interactions of fermionic cold atoms
- Observation of a dynamical topological phase transition
- Floquet chiral edge states in graphene
- Floquet generation of Majorana end modes and topological invariants
- Bulk--Boundary Correspondence for Chiral Symmetric Quantum Walks
- Multiterminal Conductance of a Floquet Topological Insulator
- Out of equilibrium electrons and the Hall conductance of a Floquet topological insulator
- Transport signatures of Floquet Majorana fermions in driven topological superconductors
- Symmetries, Topological Phases and Bound States in the One-Dimensional Quantum Walk
- Optically engineering the topological properties of a spin Hall insulator
- Measuring topology by dynamics: Chern number from linking number
- Dynamical preparation of Floquet Chern insulators
- Periodic steady state and interference in a periodically driven quantum system
- Generating Many Majorana Modes via Periodic Driving: A Superconductor Model
- Modulated Floquet Topological Insulators
- Topology induced anomalous defect production by crossing a quantum critical point
- Quantum Quenches in Chern Insulators
- Measuring Topological Number of a Chern-Insulator from Quench Dynamics
- Tomography of band insulators from quench dynamics
- Quantum quench in a p + i p superfluid: Winding numbers and topological states far from equilibrium
- Dynamical topological invariant after a quantum quench
- Quench-induced Floquet topological p-wave superfluids
- Topology of one dimensional quantum systems out of equilibrium
- Topological Entanglement-Spectrum Crossing in Quench Dynamics
- Resonantly Tunable Majorana Polariton in a Microwave Cavity
- Unpaired Floquet Majorana fermions without magnetic fields
- Entanglement generation in periodically driven integrable systems: dynamical phase transitions and steady state
- Persistent Hall response in a quantum quench
- Topological Marker Currents in Chern Insulators
- Fate of Majorana fermions and Chern numbers after a quantum quench
- Aperiodically driven integrable systems and their emergent steady states
- Classification of topological insulators and superconductors out of equilibrium
- Dynamical signatures of topological order in the driven-dissipative Kitaev chain
- 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
- Microwave-controlled coupling of Majorana bound states
- Anisotropic quantum quench in the presence of frustration or background gauge fields: A probe of bulk currents and topological chiral edge modes
- Signatures and conditions for phase band crossings in periodically driven integrable systems
- Topological phases in adiabatic and nonadiabatic driven systems
- Quenching in Chern insulators with satellite Dirac points: The fate of edge states
- Quench Dynamics Across Topological Quantum Phase Transitions
- Dynamics of edge current in a linearly quenched Haldane model
- Exact results in Floquet coin toss for driven integrable models
- The fate of current, residual energy and entanglement entropy in aperiodic driving of one dimensional Jordan Wigner integrable models
- Response of fermions in Chern bands to spatially local quenches
Cited by in corpus (10)
- Driven quantum many-body systems and out-of-equilibrium topology
- Dissipative preparation of many-body Floquet Chern insulators
- Detecting topological phase transitions through entanglement between disconnected partitions in a Kitaev chain with long-range interactions
- Dynamical preparation of a topological state and out of equilibrium bulk boundary correspondence in a SSH chain under periodic driving
- Disconnected entanglement entropy as a marker of edge modes in a periodically driven Kitaev chain
- Real-space effects of a quench in the Su-Schrieffer-Heeger model and elusive dynamical appearance of the topological edge states
- Unitary preparation of many body Chern insulators: Adiabatic bulk boundary correspondence
- Dynamical Chiral Symmetry and Symmetry-Class Conversion in Floquet Topological Insulators
- Su-Schrieffer-Heeger model driven by sequences of two unitaries: periodic, quasiperiodic, aperiodic, and random protocols
- Floquet topological phases with high Chern numbers in a periodically driven extended Su-Schrieffer-Heeger model