Non-Hermitian Floquet phases with even-integer topological invariants in a periodically quenched two-leg ladder

• URL: http://arxiv.org/abs/2006.08897v2
• Date: Wed, 8 Jul 2020 02:20:07 GMT
• Title: Non-Hermitian Floquet phases with even-integer topological invariants in a periodically quenched two-leg ladder
• Authors: Longwen Zhou
• Abstract summary: Periodically driven non-Hermitian systems could possess exotic nonequilibrium phases with unique topological, dynamical and transport properties. We introduce an experimentally realizable two-leg ladder model subjecting to both time-periodic quenches and non-Hermitian effects. Our work thus introduces a new type of non-Hermitian Floquet topological matter, and further reveals the richness of topology and dynamics in driven open systems.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Periodically driven non-Hermitian systems could possess exotic nonequilibrium phases with unique topological, dynamical and transport properties. In this work, we introduce an experimentally realizable two-leg ladder model subjecting to both time-periodic quenches and non-Hermitian effects, which belongs to an extended CII symmetry class. Due to the interplay between drivings and nonreciprocity, rich non-Hermitian Floquet topological phases emerge in the system, with each of them been characterized by a pair of even-integer topological invariants $(w_{0},w_{\pi})\in2\mathbb{Z}\times2\mathbb{Z}$. Under the open boundary condition, these invariants further predict the number of zero- and $\pi$-quasienergy modes localized around the edges of the system. We finally construct a generalized version of the mean chiral displacement, which could be employed as a dynamical probe to the topological invariants of non-Hermitian Floquet phases in the CII symmetry class. Our work thus introduces a new type of non-Hermitian Floquet topological matter, and further reveals the richness of topology and dynamics in driven open systems.

Related papers

• Exceptional Points and Stability in Nonlinear Models of Population Dynamics having $\mathcal{PT}$ symmetry [49.1574468325115]
  We analyze models governed by the replicator equation of evolutionary game theory and related Lotka-Volterra systems of population dynamics. We study the emergence of exceptional points in two cases: (a) when the governing symmetry properties are tied to global properties of the models, and (b) when these symmetries emerge locally around stationary states.
  arXiv  Detail & Related papers  (2024-11-19T02:15:59Z)
• Dual Symmetry Classification of Non-Hermitian Systems and $\mathbb{Z}_2$ Point-Gap Topology of a Non-Unitary Quantum Walk [0.8739101659113157]
  Non-Hermitian systems exhibit richer topological properties compared to their Hermitian counterparts. Non-Hermitian systems can be classified in two ways; a non-Hermitian system can be classified using the symmetry relations for non-Hermitian Hamiltonians or time-evolution operator.
  arXiv  Detail & Related papers  (2024-03-07T01:55:30Z)
• Characterizing Floquet topological phases by quench dynamics: A multiple-subsystem approach [11.15439488946414]
  We investigate the dynamical characterization theory for periodically driven systems in which Floquet topology can be fully detected. We propose a more flexible scheme to characterize a generic class of $d$-dimensional Floquet topological phases. This study provides an immediately implementable approach for dynamically classifying Floquet topological phases in ultracold atoms or other quantum simulators.
  arXiv  Detail & Related papers  (2023-10-12T15:23:44Z)
• Topological transitions with continuously monitored free fermions [68.8204255655161]
  We show the presence of a topological phase transition that is of a different universality class than that observed in stroboscopic projective circuits. We find that this entanglement transition is well identified by a combination of the bipartite entanglement entropy and the topological entanglement entropy.
  arXiv  Detail & Related papers  (2021-12-17T22:01:54Z)
• Symmetry and topological classification of Floquet non-Hermitian systems [2.5897520593396495]
  Floquet and non-Hermitian topological phases can be epitomized by the various Floquet and non-Hermitian phases. We systematically classify FNH topological bands for 54-fold generalized Bernard-LeClair (GBL)symmetry classes and arbitrary spatial dimensions. Our results naturally produce the periodic tables of Floquet Hermitian topological insulators and Floquet unitaries.
  arXiv  Detail & Related papers  (2021-12-13T14:55:39Z)
• Non-Hermitian $C_{NH} = 2$ Chern insulator protected by generalized rotational symmetry [85.36456486475119]
  A non-Hermitian system is protected by the generalized rotational symmetry $H+=UHU+$ of the system. Our finding paves the way towards novel non-Hermitian topological systems characterized by large values of topological invariants.
  arXiv  Detail & Related papers  (2021-11-24T15:50:22Z)
• Bridging the gap between topological non-Hermitian physics and open quantum systems [62.997667081978825]
  We show how to detect a transition between different topological phases by measuring the response to local perturbations. Our formalism is exemplified in a 1D Hatano-Nelson model, highlighting the difference between the bosonic and fermionic cases.
  arXiv  Detail & Related papers  (2021-09-22T18:00:17Z)
• Non-Hermitian topological phases and dynamical quantum phase transitions: A generic connection [0.685316573653194]
  We establish an intrinsic connection between topological phases and quantum phase transitions in non-Hermitian systems. We present a proposal to experimentally verify the found connection by a nitrogen-vacancy center in diamond.
  arXiv  Detail & Related papers  (2021-02-14T09:59:51Z)
• Dual topological characterization of non-Hermitian Floquet phases [0.0]
  We introduce a dual scheme to characterize the topology of non-Hermitian Floquet systems in momentum space and in real space. Our results indicate that a dual characterization of non-Hermitian Floquet topological matter is necessary and also feasible.
  arXiv  Detail & Related papers  (2020-09-28T05:01:28Z)
• Dynamical solitons and boson fractionalization in cold-atom topological insulators [110.83289076967895]
  We study the $mathbbZ$ Bose-Hubbard model at incommensurate densities. We show how defects in the $mathbbZ$ field can appear in the ground state, connecting different sectors. Using a pumping argument, we show that it survives also for finite interactions.
  arXiv  Detail & Related papers  (2020-03-24T17:31:34Z)
• Bulk detection of time-dependent topological transitions in quenched chiral models [48.7576911714538]
  We show that the winding number of the Hamiltonian eigenstates can be read-out by measuring the mean chiral displacement of a single-particle wavefunction. This implies that the mean chiral displacement can detect the winding number even when the underlying Hamiltonian is quenched between different topological phases.
  arXiv  Detail & Related papers  (2020-01-16T17:44:52Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.