Observation of non-Hermitian topological Anderson insulator in quantum
dynamics
- URL: http://arxiv.org/abs/2108.01097v1
- Date: Mon, 2 Aug 2021 18:00:18 GMT
- Title: Observation of non-Hermitian topological Anderson insulator in quantum
dynamics
- Authors: Quan Lin, Tianyu Li, Lei Xiao, Kunkun Wang, Wei Yi and Peng Xue
- Abstract summary: Disorder and non-Hermiticity dramatically impact the topological and localization properties of a quantum system.
We experimentally simulate the non-Hermitian topological Anderson insulator using disordered photonic quantum walks.
- Score: 8.119496606443793
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Disorder and non-Hermiticity dramatically impact the topological and
localization properties of a quantum system, giving rise to intriguing quantum
states of matter. The rich interplay of disorder, non-Hermiticity, and topology
is epitomized by the recently proposed non-Hermitian topological Anderson
insulator that hosts a plethora of exotic phenomena. Here we experimentally
simulate the non-Hermitian topological Anderson insulator using disordered
photonic quantum walks, and characterize its localization and topological
properties. In particular, we focus on the competition between Anderson
localization induced by random disorder, and the non-Hermitian skin effect
under which all eigenstates are squeezed toward the boundary. The two distinct
localization mechanisms prompt a non-monotonous change in profile of the
Lyapunov exponent, which we experimentally reveal through dynamic observables.
We then probe the disorder-induced topological phase transitions, and
demonstrate their biorthogonal criticality. Our experiment further advances the
frontier of synthetic topology in open systems.
Related papers
- Critical non-Hermitian topology induced quantum sensing [0.0]
Non-Hermitian physics predicts open quantum system dynamics with unique topological features such as exceptional points and the non-Hermitian skin effect.
We show that this new paradigm of topological systems can serve as probes for bulk Hamiltonian parameters with quantum-enhanced sensitivity reaching Heisenberg scaling.
arXiv Detail & Related papers (2023-11-21T18:04:26Z) - Experimental Observation of Topological Quantum Criticality [47.187609203210705]
We report on the observation of quantum criticality forming at the transition point between topological Anderson insulator phases in a one-dimensional photonic quantum walk with spin.
The walker's probability distribution reveals a time-staggered profile of the dynamical spin-susceptibility.
arXiv Detail & Related papers (2023-01-13T08:04:20Z) - Continuous phase transition induced by non-Hermiticity in the quantum
contact process model [44.58985907089892]
How the property of quantum many-body system especially the phase transition will be affected by the non-hermiticity remains unclear.
We show that there is a continuous phase transition induced by the non-hermiticity in QCP.
We observe that the order parameter and susceptibility display infinitely even for finite size system, since non-hermiticity endows universality many-body system with different singular behaviour from classical phase transition.
arXiv Detail & Related papers (2022-09-22T01:11:28Z) - 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) - Simulating non-Hermitian quasicrystals with single-photon quantum walks [8.119496606443793]
We experimentally simulate non-Hermitian quasicrystals using photonic quantum walks.
Our work opens the avenue of investigating the interplay of non-Hermiticity, quasiperiodicity, and spectral topology in open quantum systems.
arXiv Detail & Related papers (2021-12-30T12:19:42Z) - 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) - Probing non-Hermitian phase transitions in curved space via quench
dynamics [0.0]
Non-Hermitian Hamiltonians are relevant to describe the features of a broad class of physical phenomena.
We study the interplay of geometry and non-Hermitian dynamics by unveiling the existence of curvature-dependent non-Hermitian phase transitions.
arXiv Detail & Related papers (2020-12-14T19:47:59Z) - R-DMFT study of a non-Hermitian skin effect for correlated systems:
analysis based on a pseudo-spectrum [0.0]
We analyze a correlated system in equilibrium with special emphasis on non-Hermitian topology inducing a skin effect.
The pseudo-spectrum, computed by the real-space dynamical mean-field theory, elucidates that additional pseudo-eigenstates emerge for the open boundary condition.
We discuss how the line-gap topology, another type of non-Hermitian topology, affects the pseudo-spectrum.
arXiv Detail & Related papers (2020-11-09T12:26:55Z) - 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) - Ising chain with topological degeneracy induced by dissipation [0.0]
We study a non-Hermitian Ising chain with two transverse fields, one real and another imaginary, based on the exact solution and numerical simulation.
We show that topological degeneracy still exists and can be obtained by an imaginary transverse field from a topologically trivial phase of a Hermitian system.
arXiv Detail & Related papers (2020-03-18T03:35:20Z)
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.