Signature of edge states in resonant wave scattering

• URL: http://arxiv.org/abs/2203.00824v1
• Date: Wed, 2 Mar 2022 02:27:10 GMT
• Title: Signature of edge states in resonant wave scattering
• Abstract summary: We studied the scattering problem of a cluster connected to multiple leads. We established the connection between the eigenstate of the topological scattering center and the transmission and reflection amplitudes for the resonant scattering process.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Particle beam scattering is a conventional technique for detecting the nature of matter. We studied the scattering problem of a cluster connected to multiple leads. We established the connection between the eigenstate of the topological scattering center and the transmission and reflection amplitudes for the resonant scattering process. We discovered that as an application, this approach enables the detection of the edge state in the band gap for both Hermitian and non-Hermitian systems and the identification of the topology of a system. We investigated two types of Su-Schrieffer-Heeger chains as examples. In addition, we proposed a dynamic scheme through an evanescently coupled-waveguide array to detect the edge state on the basis of measured transmission intensity. Numerical simulation revealed that pattern visibility can be the signature of the edge states.

Related papers

• Symmetry-protected topology and deconfined solitons in a multi-link $\mathbb{Z}_2$ gauge theory [45.88028371034407]
  We study a $mathbbZ$ lattice gauge theory defined on a multi-graph with links that can be visualized as great circles of a spherical shell.<n>We show that this leads to state-dependent tunneling amplitudes underlying a phenomenon analogous to the Peierls instability.<n>By performining a detailed analysis based on matrix product states, we prove that charge deconfinement emerges as a consequence of charge-fractionalization.
  arXiv  Detail & Related papers  (2026-03-02T22:59:25Z)
• Exponentially enhanced sensing through nonreciprocal light propagation [42.02177719060884]
  Non-reciprocal light propagation allows detecting small perturbations with a signal-to-noise ratio that scales exponentially with system size.<n>Our results open a new paradigm in non-Hermitian sensing, with potential applications in remote sensing including the optical readout of superconducting circuits.
  arXiv  Detail & Related papers  (2025-11-21T02:17:33Z)
• Controlling Excitation Localization in Waveguide QED Systems [0.4999814847776098]
  We study localization and long-time population trapping in quantum emitters coupled to a waveguide.<n>We find two distinct mechanisms that give rise to localization: geometry-induced subradiance and disorder-induced Anderson-like confinement.<n>These results establish geometry and disorder as complementary tools for engineering long-lived quantum states in waveguide QED systems.
  arXiv  Detail & Related papers  (2025-05-27T08:24:51Z)
• Non-Hermitian topology and skin modes in the continuum via parametric processes [44.99833362998488]
  We show that Hermitian, nonlocal parametric pairing processes can induce non-Hermitian topology and skin modes.<n>Our model, stabilized by local dissipation, reveals exceptional points that spawn a tilted diabolical line in the dispersion.
  arXiv  Detail & Related papers  (2025-05-05T16:38:20Z)
• Stochastic action for the entanglement of a noisy monitored two-qubit system [55.2480439325792]
  We study the effect of local unitary noise on the entanglement evolution of a two-qubit system subject to local monitoring and inter-qubit coupling. We construct a Hamiltonian by incorporating the noise into the Chantasri-Dressel-Jordan path integral and use it to identify the optimal entanglement dynamics. Numerical investigation of long-time steady-state entanglement reveals a non-monotonic relationship between concurrence and noise strength.
  arXiv  Detail & Related papers  (2024-03-13T11:14:10Z)
• Non-Linear Interference Challenging Topological Protection of Chiral Edge States [0.0]
  We show how a wave packet propagating in a chiral edge mode may be irreversibly deflected by scattering off a localized wave-packet. This genuinely non-linear interference phenomenon is in stark contrast to linear scattering off a static impurity.
  arXiv  Detail & Related papers  (2023-05-15T18:00:04Z)
• The Optical Signatures of Stochastic Processes in Many-Body Exciton Scattering [5.090628201595126]
  We show how direct (Coulomb) and exchange coupling to the bath give rise to distinct spectral signatures. We discuss mathematical limits on inverting spectral signatures to extract the background density of states.
  arXiv  Detail & Related papers  (2022-07-05T15:52:41Z)
• Topological multi-mode waveguide QED [49.1574468325115]
  We show how to take advantage of topologically protected propagating modes by interfacing them with quantum emitters. Such capabilities pave the way for generating quantum gates among topologically protected photons as well as generating more complex entangled states of light in topological channels.
  arXiv  Detail & Related papers  (2022-07-05T14:48:50Z)
• Tunneling Gravimetry [58.80169804428422]
  We examine the prospects of utilizing matter-wave Fabry-P'erot interferometers for enhanced inertial sensing applications. Our study explores such tunneling-based sensors for the measurement of accelerations in two configurations.
  arXiv  Detail & Related papers  (2022-05-19T09:22:11Z)
• Topological Atomic Spinwave Lattices by Dissipative Couplings [6.129991129970815]
  Recent experimental advance in creating dissipative couplings provides a new route for engineering exotic lattice systems. We experimentally realize a dissipative version of the Su-Schrieffer-Heeger (SSH) model. We construct the dissipation spectra of the topological or trivial lattices via electromagnetically-induced-transparency (EIT) spectroscopy.
  arXiv  Detail & Related papers  (2022-03-29T07:05:35Z)
• Machine Learning S-Wave Scattering Phase Shifts Bypassing the Radial Schr\"odinger Equation [77.34726150561087]
  We present a proof of concept machine learning model resting on a convolutional neural network capable to yield accurate scattering s-wave phase shifts. We discuss how the Hamiltonian can serve as a guiding principle in the construction of a physically-motivated descriptor.
  arXiv  Detail & Related papers  (2021-06-25T17:25:38Z)
• Tunable Anderson Localization of Dark States [146.2730735143614]
  We experimentally study Anderson localization in a superconducting waveguide quantum electrodynamics system. We observe an exponential suppression of the transmission coefficient in the vicinity of its subradiant dark modes. The experiment opens the door to the study of various localization phenomena on a new platform.
  arXiv  Detail & Related papers  (2021-05-25T07:52:52Z)
• Fano interference in quantum resonances from angle-resolved elastic scattering [62.997667081978825]
  We show that probing the angular dependence of the cross section allows us to unveil asymmetric Fano profiles in a single channel shape resonance. We observe a shift in the peak of the resonance profile in the elastic collisions between metastable helium and deuterium molecules.
  arXiv  Detail & Related papers  (2021-05-12T20:41:25Z)
• Quantum Entangled-Probe Scattering Theory [0.0]
  We develop an entangled-probe scattering theory that extends the scope of standard scattering approaches. We argue that these probes may be revolutionary in studying entangled matter such as unconventional phases of strongly correlated systems.
  arXiv  Detail & Related papers  (2020-08-10T18:00:10Z)
• R\'enyi Entropy Singularities as Signatures of Topological Criticality in Coupled Photon-Fermion Systems [0.0]
  We show that the topological phase transition for a Kitaev chain embedded in a cavity can be identified by measuring experimentally accessible photon observables. We propose a direct link between those observables and quantum entropy singularities.
  arXiv  Detail & Related papers  (2020-07-13T18:49:28Z)
• 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.