Non-Hermitian Floquet Topological Matter -- A Review
- URL: http://arxiv.org/abs/2305.16153v3
- Date: Mon, 31 Jul 2023 05:46:52 GMT
- Title: Non-Hermitian Floquet Topological Matter -- A Review
- Authors: Longwen Zhou and Da-Jian Zhang
- Abstract summary: This review sums up our studies on non-Hermitian Floquet topological matters in one and two spatial dimensions.
We first give a bird's-eye view of the literature for clarifying the physical significance of non-Hermitian Floquet systems.
We then introduce, in a pedagogical manner, a number of useful tools tailored for the study of non-Hermitian Floquet systems.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: The past few years have witnessed a surge of interest in non-Hermitian
Floquet topological matters due to their exotic properties resulting from the
interplay between driving fields and non-Hermiticity. The present review sums
up our studies on non-Hermitian Floquet topological matters in one and two
spatial dimensions. We first give a bird's-eye view of the literature for
clarifying the physical significance of non-Hermitian Floquet systems. We then
introduce, in a pedagogical manner, a number of useful tools tailored for the
study of non-Hermitian Floquet systems and their topological properties. With
the aid of these tools, we present typical examples of non-Hermitian Floquet
topological insulators, superconductors, and quasicrystals, with a focus on
their topological invariants, bulk-edge correspondences, non-Hermitian skin
effects, dynamical properties, and localization transitions. We conclude this
review by summarizing our main findings and presenting our vision of future
directions.
Related papers
- Generalized bulk-boundary correspondence in periodically driven non-Hermitian systems [6.844618776091758]
We focus on the non-Bloch band theory of two typical periodically driven non-Hermitian systems.
We review novel phenomena in the higher-dimensional periodically driven non-Hermitian systems.
arXiv Detail & Related papers (2024-03-27T11:29:30Z) - Measuring entanglement entropy and its topological signature for
phononic systems [21.355338659414624]
Entanglement entropy provides insight into the collective degrees of freedom that underlie the systems' complex behaviours.
We report the experimental verification of the predictions by probing the nonlocal correlations in phononic systems.
The progress here opens a frontier where entanglement entropy serves as an important experimental tool in the study of emergent phases and phase transitions.
arXiv Detail & Related papers (2023-12-14T03:30:58Z) - Non-Hermitian Topological Phases: Principles and Prospects [4.3012765978447565]
We present the key principles underpinning the features of non-Hermitian phases.
We discuss exceptional points, complex energy gaps and non-Hermitian symmetry classification.
We also examine the role of disorder, present the linear response framework, and analyze the Hall transport properties of non-Hermitian systems.
arXiv Detail & Related papers (2022-12-13T10:57:49Z) - Floquet multi-gap topology: Non-Abelian braiding and anomalous Dirac
string phase [0.0]
Topological phases of matter span a wide area of research shaping fundamental pursuits and offering promise for future applications.
The past two years have witnessed the rise of novel multi-gap dependent topological states.
We report on uncharted anomalous phases and properties that can only arise in out-of-equilibrium Floquet settings.
arXiv Detail & Related papers (2022-08-26T18:00:03Z) - Bounded nonlinear forecasts of partially observed geophysical systems
with physics-constrained deep learning [30.238425143378414]
We investigate the physics-constrained learning of implicit dynamical embeddings, leveraging neural ordinary differential equation (NODE) representations.
A key objective is to constrain their boundedness, which promotes the generalization of the learned dynamics to arbitrary initial condition.
arXiv Detail & Related papers (2022-02-11T16:40:46Z) - Thermoelectric properties of topological chains coupled to a quantum dot [40.19796930944118]
Topological one-dimensional superconductors can sustain in their extremities zero energy modes that are protected by different kinds of symmetries.
We consider the simplest kind of topological insulators, namely chains of atoms with hybridized $sp$ orbitals.
We show that the electrical conductance and the Wiedemann-Franz ratio of the device at the topological transition have universal values at very low temperatures.
arXiv Detail & Related papers (2021-12-20T22:52:00Z) - 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) - 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) - 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) - Large Chern numbers in a dissipative dice model [0.0]
We show that the topological phases are protected by the real gaps and the bulk-edge correspondence.
We find that there are topological non-trivial phases with large Chern numbers $C=-3$ robust against the dissipative perturbations.
arXiv Detail & Related papers (2020-09-12T10:54:42Z) - 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.