Topology and broken symmetry in Floquet systems
Floquet systems are governed by periodic, time-dependent Hamiltonians. Prima facie they
should absorb energy from the external drives involved in modulating their couplings and …
should absorb energy from the external drives involved in modulating their couplings and …
Universal topological marker
W Chen - Physical Review B, 2023 - APS
We elaborate that for topological insulators and topological superconductors described by
Dirac models in any dimension and symmetry class, the topological order can be mapped to …
Dirac models in any dimension and symmetry class, the topological order can be mapped to …
Floquet topological phase transitions in a periodically quenched dimer
We report on the theoretical investigation of the topological properties of a periodically
quenched one-dimensional dimerized lattice where a piecewise constant Hamiltonian …
quenched one-dimensional dimerized lattice where a piecewise constant Hamiltonian …
Experimental observation of momentum-space chiral edge currents in room-temperature atoms
H Cai, J Liu, J Wu, Y He, SY Zhu, JX Zhang… - Physical Review Letters, 2019 - APS
Chiral edge currents play an important role in characterizing topological matter. In atoms,
they have been observed at such a low temperature that the atomic motion can be …
they have been observed at such a low temperature that the atomic motion can be …
Wannier representation of Floquet topological states
A universal feature of topological insulators is that they cannot be adiabatically connected to
an atomic limit, where individual lattice sites are completely decoupled. This property is …
an atomic limit, where individual lattice sites are completely decoupled. This property is …
Complete homotopy invariants for translation invariant symmetric quantum walks on a chain
C Cedzich, T Geib, C Stahl, L Velázquez… - Quantum, 2018 - quantum-journal.org
We provide a classification of translation invariant one-dimensional quantum walks with
respect to continuous deformations preserving unitarity, locality, translation invariance, a …
respect to continuous deformations preserving unitarity, locality, translation invariance, a …
Theory of anomalous floquet higher-order topology: Classification, characterization, and bulk-boundary correspondence
Periodically-driven or Floquet systems can realize anomalous topological phenomena that
do not exist in any equilibrium states of matter, whose classification and characterization …
do not exist in any equilibrium states of matter, whose classification and characterization …
Chiral Floquet systems and quantum walks at half-period
We classify chiral symmetric periodically driven quantum systems on a one-dimensional
lattice. The driving process is local, can be continuous, or discrete in time, and we assume a …
lattice. The driving process is local, can be continuous, or discrete in time, and we assume a …
Topological chiral modes in random scattering networks
P Delplace - SciPost Physics, 2020 - scipost.org
Using elementary graph theory, we show the existence of interface chiral modes in random
oriented scattering networks and discuss their topological nature. For particular regular …
oriented scattering networks and discuss their topological nature. For particular regular …
Index theory of chiral unitaries and split-step quantum walks
C Bourne - SIGMA. Symmetry, Integrability and Geometry: Methods …, 2023 - emis.de
Building from work by Cedzich et al. and Suzuki et al., we consider topological and index-
theoretic properties of chiral unitaries, which are an abstraction of the time evolution of a …
theoretic properties of chiral unitaries, which are an abstraction of the time evolution of a …