Detecting non-Bloch topological invariants in quantum dynamics
- URL: http://arxiv.org/abs/2107.14741v1
- Date: Fri, 30 Jul 2021 16:40:30 GMT
- Title: Detecting non-Bloch topological invariants in quantum dynamics
- Authors: Kunkun Wang, Tianyu Li, Lei Xiao, Yiwen Han, Wei Yi and Peng Xue
- Abstract summary: Non-Bloch topological invariants preserve the bulk-boundary correspondence in non-Hermitian systems.
We report the dynamic detection of non-Bloch topological invariants in single-photon quantum walks.
Our work sheds new light on the experimental investigation of non-Hermitian topology.
- Score: 7.544412038291252
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Non-Bloch topological invariants preserve the bulk-boundary correspondence in
non-Hermitian topological systems, and are a key concept in the contemporary
study of non-Hermitian topology. Here we report the dynamic detection of
non-Bloch topological invariants in single-photon quantum walks, revealed
through the biorthogonal chiral displacement, and crosschecked with the dynamic
spin textures in the generalized quasimomentum-time domain following a quantum
quench. Both detection schemes are robust against symmetry-preserving
disorders, and yield consistent results with theoretical predictions. Our
experiments are performed far away from any boundaries, and therefore underline
non-Bloch topological invariants as intrinsic properties of the system that
persist in the thermodynamic limit. Our work sheds new light on the
experimental investigation of non-Hermitian topology.
Related papers
- Dynamical topology of chiral and nonreciprocal state transfers in a non-Hermitian quantum system [11.467872077398688]
We study topological chiral and nonreciprocal dynamics by encircling the exceptional points (EPs) of non-Hermitian Hamiltonians in a trapped ion system.
These dynamics are topologically robust against external perturbations even in the presence dissipation-induced nonadiabatic processes.
Our results mark a significant step towards exploring topological properties of open quantum systems.
arXiv Detail & Related papers (2024-06-05T07:51:58Z) - Quantized Thouless pumps protected by interactions in dimerized Rydberg
tweezer arrays [44.99833362998488]
We study Thouless pumps, i.e., adiabatic topological transport, in an interacting spin chain described by the dimerized XXZ Hamiltonian.
In the noninteracting case, quantized Thouless pumps can only occur when a topological singularity is encircled adiabatically.
In the presence of interactions, such topological transport can even persist for exotic paths in which the system gets arbitrarily close to the singularity.
arXiv Detail & Related papers (2024-02-14T16:58:21Z) - Non-Bloch dynamics and topology in a classical non-equilibrium process [6.334772307280423]
The non-Hermitian skin effect refers to the accumulation of eigenstates near the boundary in open boundary lattice models.
Our study highlights the significant and general role of non-Bloch topology in non-equilibrium dynamics.
arXiv Detail & Related papers (2023-06-19T18:15:03Z) - Non-Hermitian bulk-boundary correspondence via scattering theory [0.304585143845864]
We reestablish the bulk-boundary correspondence in one-dimensional non-Hermitian systems by applying the scattering theory.
We unveil a new type of topological phase transition without typical bulk enengy gap closing and an unstable phase with topological boundary states.
arXiv Detail & Related papers (2023-02-14T15:57:32Z) - 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-Bloch quench dynamics [6.575131510939151]
We study the quench dynamics of non-Hermitian models with non-Hermitian skin effects.
We find that emergent topological structures, in the form of dynamic skyrmions, exist in the generalized momentum-time domain.
arXiv Detail & Related papers (2021-01-20T04:42:34Z) - Quantum particle across Grushin singularity [77.34726150561087]
We study the phenomenon of transmission across the singularity that separates the two half-cylinders.
All the local realisations of the free (Laplace-Beltrami) quantum Hamiltonian are examined as non-equivalent protocols of transmission/reflection.
This allows to comprehend the distinguished status of the so-called bridging' transmission protocol previously identified in the literature.
arXiv Detail & Related papers (2020-11-27T12:53:23Z) - Point-gap topology with complete bulk-boundary correspondence in
dissipative quantum systems [0.0]
The spectral and dynamical properties of dissipative quantum systems are investigated from a topological point of view.
We find anomalous skin modes with exponential amplification even though the quantum system is purely dissipative.
arXiv Detail & Related papers (2020-10-28T10:15:40Z) - Unraveling the topology of dissipative quantum systems [58.720142291102135]
We discuss topology in dissipative quantum systems from the perspective of quantum trajectories.
We show for a broad family of translation-invariant collapse models that the set of dark state-inducing Hamiltonians imposes a nontrivial topological structure on the space of Hamiltonians.
arXiv Detail & Related papers (2020-07-12T11:26:02Z) - 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.