Dual topological characterization of non-Hermitian Floquet phases
- URL: http://arxiv.org/abs/2009.13078v1
- Date: Mon, 28 Sep 2020 05:01:28 GMT
- Title: Dual topological characterization of non-Hermitian Floquet phases
- Authors: Longwen Zhou, Yongjian Gu, and Jiangbin Gong
- Abstract summary: 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.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Non-Hermiticity is expected to add far more physical features to the already
rich Floquet topological phases of matter. Nevertheless, a systematic approach
to characterize non-Hermitian Floquet topological matter is still lacking. In
this work we introduce a dual scheme to characterize the topology of
non-Hermitian Floquet systems in momentum space and in real space, using a
piecewise quenched nonreciprocal Su-Schrieffer-Heeger model for our case
studies. Under the periodic boundary condition, topological phases are
characterized by a pair of experimentally accessible winding numbers that make
jumps between integers and half-integers. Under the open boundary condition, a
Floquet version of the so-called open boundary winding number is found to be
integers and can predict the number of pairs of zero and $\pi$ Floquet edge
modes coexisting with the non-Hermitian skin effect. Our results indicate that
a dual characterization of non-Hermitian Floquet topological matter is
necessary and also feasible because the formidable task of constructing the
celebrated generalized Brillouin zone for non-Hermitian Floquet systems with
multiple hopping length scales can be avoided. This work hence paves a way for
further studies of non-Hermitian physics in non-equilibrium systems.
Related papers
- Topological Order in the Spectral Riemann Surfaces of Non-Hermitian Systems [44.99833362998488]
We show topologically ordered states in the complex-valued spectra of non-Hermitian systems.
These arise when the distinctive exceptional points in the energy surfaces of such models are annihilated.
We illustrate the characteristics of the topologically protected states in a non-Hermitian two-band model.
arXiv Detail & Related papers (2024-10-24T10:16:47Z) - A Universal Model of Floquet Operator Krylov Space [0.0]
It is shown that the stroboscopic time-evolution under a Floquet unitary, in any spatial dimension, can be mapped to an operator Krylov space.
It is shown that the Floquet dynamics share certain universal features characterized by how the Krylov parameters vary in the topological phase diagram of the Floquet TFIM with homogeneous couplings.
arXiv Detail & Related papers (2023-11-25T20:57:43Z) - Dissipative preparation of a Floquet topological insulator in an optical lattice via bath engineering [44.99833362998488]
Floquet engineering is an important tool for realizing charge-neutral atoms in optical lattices.
We show that a driven-dissipative system approximates a topological insulator.
arXiv Detail & Related papers (2023-07-07T17:47:50Z) - Accessing the topological Mott insulator in cold atom quantum simulators
with realistic Rydberg dressing [58.720142291102135]
We investigate a realistic scenario for the quantum simulation of such systems using cold Rydberg-dressed atoms in optical lattices.
We perform a detailed analysis of the phase diagram at half- and incommensurate fillings, in the mean-field approximation.
We furthermore study the stability of the phases with respect to temperature within the mean-field approximation.
arXiv Detail & Related papers (2022-03-28T14:55:28Z) - 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) - Dynamical characterization of Weyl nodes in Floquet Weyl semimetal
phases [1.5929852667227002]
We propose a dynamical invariant capable of characterizing and distinguishing between Weyl points at different quasienergy values.
This work paves the way for experimentally probing the rich topological band structures of some seemingly simple Floquet semimetal systems.
arXiv Detail & Related papers (2020-09-19T08:52:32Z) - Quantized Floquet topology with temporal noise [0.0]
We study the Floquet insulator, which exhibits topologically quantized chiral edge states similar to a Chern insulator.
We find that the quantized response, given by partially filling the fermionic system and measuring charge pumped per cycle, remains quantized up to finite noise amplitude.
This approach suggests an interpretation of the state of the system as a non-Hermitian Floquet topological phase.
arXiv Detail & Related papers (2020-06-18T17:58:26Z) - Non-Hermitian Floquet phases with even-integer topological invariants in
a periodically quenched two-leg ladder [0.0]
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.
arXiv Detail & Related papers (2020-06-16T03:22:53Z) - 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)
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.