Non-Hermitian dynamical topological winding in photonic mesh lattices

• URL: http://arxiv.org/abs/2407.01520v1
• Date: Mon, 1 Jul 2024 17:59:15 GMT
• Title: Non-Hermitian dynamical topological winding in photonic mesh lattices
• Authors: Stefano Longhi,
• Abstract summary: Topological winding in non-Hermitian systems are generally associated to the Bloch band properties of lattice Hamiltonians. In certain non-Hermitian models topological winding naturally arise from the dynamical evolution of the system and related to a new form of geometric phase.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Topological winding in non-Hermitian systems are generally associated to the Bloch band properties of lattice Hamiltonians. However, in certain non-Hermitian models topological winding naturally arise from the dynamical evolution of the system and related to a new form of geometric phase. Here we investigate dynamical topological winding in non-Hermitian photonic mesh lattices, where the mean survival time of an optical pulse circulating in coupled fiber loops is quantized and robust against Hamiltonian deformations. The suggested photonic model could provide an experimentally accessible platform for the observation of non-Hermitian dynamical topological windings.

Related papers

• Geometric Trajectory Diffusion Models [58.853975433383326]
  Generative models have shown great promise in generating 3D geometric systems. Existing approaches only operate on static structures, neglecting the fact that physical systems are always dynamic in nature. We propose geometric trajectory diffusion models (GeoTDM), the first diffusion model for modeling the temporal distribution of 3D geometric trajectories.
  arXiv  Detail & Related papers  (2024-10-16T20:36:41Z)
• 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)
• Real-space detection and manipulation of topological edge modes with ultracold atoms [56.34005280792013]
  We demonstrate an experimental protocol for realizing chiral edge modes in optical lattices. We show how to efficiently prepare particles in these edge modes in three distinct Floquet topological regimes. We study how edge modes emerge at the interface and how the group velocity of the particles is modified as the sharpness of the potential step is varied.
  arXiv  Detail & Related papers  (2023-04-04T17:36:30Z)
• 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)
• Harmonic oscillator kicked by spin measurements: a Floquet-like system without classical analogous [62.997667081978825]
  The impulsive driving is provided by stroboscopic measurements on an ancillary degree of freedom. The dynamics of this system is determined in closed analytical form. We observe regimes with crystalline and quasicrystalline structures in phase space, resonances, and evidences of chaotic behavior.
  arXiv  Detail & Related papers  (2021-11-23T20:25:57Z)
• 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)
• Detecting non-Bloch topological invariants in quantum dynamics [7.544412038291252]
  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.
  arXiv  Detail & Related papers  (2021-07-30T16:40:30Z)
• 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)
• Observation of arbitrary topological windings of a non-Hermitian band [2.9564207475274467]
  A key topological feature, unique to non-Hermitian systems, is the non-trivial winding of the energy band in the complex energy plane. Our results open a pathway for the experimental synthesis and characterization of topologically non-trivial phases in non-conservative systems.
  arXiv  Detail & Related papers  (2020-11-29T04:27:21Z)
• 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.