Experimental realization of stable exceptional chains protected by non-Hermitian latent symmetries unique to mechanical systems

• URL: http://arxiv.org/abs/2304.10347v2
• Date: Fri, 15 Dec 2023 12:48:06 GMT
• Title: Experimental realization of stable exceptional chains protected by non-Hermitian latent symmetries unique to mechanical systems
• Authors: Xiaohan Cui, Ruo-Yang Zhang, Xulong Wang, Wei Wang, Guancong Ma, C.T. Chan
• Abstract summary: Lines of exceptional points are robust in the 3-dimensional non-Hermitian parameter space without requiring any symmetry. One such case is the exceptional chain (EC), which is formed by the intersection or osculation of multiple exceptional lines (ELs)
• Score: 2.855517197407522
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Lines of exceptional points are robust in the 3-dimensional non-Hermitian parameter space without requiring any symmetry. However, when more elaborate exceptional structures are considered, the role of symmetry becomes critical. One such case is the exceptional chain (EC), which is formed by the intersection or osculation of multiple exceptional lines (ELs). In this study, we investigate a non-Hermitian classical mechanical system and reveal that a symmetry intrinsic to second-order dynamical equations, in combination with the source-free principle of ELs, guarantees the emergence of ECs. This symmetry can be understood as a non-Hermitian generalized latent symmetry, which is absent in prevailing formalisms rooted in first-order Schr\"odinger-like equations and has largely been overlooked so far. We experimentally confirm and characterize the ECs using an active mechanical oscillator system. Moreover, by measuring eigenvalue braiding around the ELs meeting at a chain point, we demonstrate the source-free principle of directed ELs that underlies the mechanism for EC formation. Our work not only enriches the diversity of non-Hermitian degeneracies, but also highlights the new potential for non-Hermitian physics in second-order dynamical systems.

Related papers

• Non-Hermitian glide-time symmetry [17.423012765773063]
  We study a one-dimensional non-Hermitian system with glide-time reversal (GT) symmetry. We discover that the GT symmetry leads to unique physical properties and enables rich dynamic phenomena in non-Hermitian systems. Remarkably, we reveal the dynamic NHSEs that exhibit diverse behaviors across distinct dynamic phases.
  arXiv  Detail & Related papers  (2024-09-20T10:16:42Z)
• Emergent non-Hermitian conservation laws at exceptional points [9.397121474087331]
  Non-Hermitian systems can manifest rich static and dynamical properties at their exceptional points (EPs) We identify yet another class of distinct phenomena that is hinged on EPs, namely, the emergence of a series of non-Hermitian conservation laws.
  arXiv  Detail & Related papers  (2024-08-02T08:11:41Z)
• Anomalous symmetry protected blockade of skin effect in one-dimensional non-Hermitian lattice systems [20.4728241808175]
  We present a theorem which shows that the combined spatial reflection symmetry can be considered as a criterion in one-dimensional non-Hermitian systems. Our results reveal a profound connection between the symmetry and the fate of NHSE.
  arXiv  Detail & Related papers  (2024-07-29T07:57:59Z)
• $\mathcal{PT}$ Symmetric Non-Hermitian Cavity Magnomechanics [0.0]
  We design and explore PT-symmetric behavior of a hybrid non-Hermitian cavity magnomechanics consisting of a ferromagnetic YIG sphere driven by external magnetic field. The external magnetic field excites collective mechanical modes of magnons, which later excites cavity mode leading to a coupling between cavity magnons and photons.
  arXiv  Detail & Related papers  (2024-06-23T13:00:02Z)
• Three perspectives on entropy dynamics in a non-Hermitian two-state system [41.94295877935867]
  entropy dynamics as an indicator of physical behavior in an open two-state system with balanced gain and loss is presented. We distinguish the perspective taken in utilizing the conventional framework of Hermitian-adjoint states from an approach that is based on biorthogonal-adjoint states and a third case based on an isospectral mapping.
  arXiv  Detail & Related papers  (2024-04-04T14:45:28Z)
• Quantum Mechanics as a Theory of Incompatible Symmetries [77.34726150561087]
  We show how classical probability theory can be extended to include any system with incompatible variables. We show that any probabilistic system (classical or quantal) that possesses incompatible variables will show not only uncertainty, but also interference in its probability patterns.
  arXiv  Detail & Related papers  (2022-05-31T16:04:59Z)
• Mesoscopic M\"obius ladder lattices as non-Hermitian model systems [0.0]
  We focus on two realizations of non-Hermitian physics in mesoscopic systems. First, we consider spiral optical microcavities in which the asymmetric scattering between whispering gallery modes induces the non-Hermitian behaviour. Second, for parity-time (PT) symmetric ladder lattices we compare circular and M"obius geometries.
  arXiv  Detail & Related papers  (2022-05-03T17:10:36Z)
• Non-Hermitian $C_{NH} = 2$ Chern insulator protected by generalized rotational symmetry [85.36456486475119]
  A non-Hermitian system is protected by the generalized rotational symmetry $H+=UHU+$ of the system. Our finding paves the way towards novel non-Hermitian topological systems characterized by large values of topological invariants.
  arXiv  Detail & Related papers  (2021-11-24T15:50:22Z)
• Exact solutions of interacting dissipative systems via weak symmetries [77.34726150561087]
  We analytically diagonalize the Liouvillian of a class Markovian dissipative systems with arbitrary strong interactions or nonlinearity. This enables an exact description of the full dynamics and dissipative spectrum. Our method is applicable to a variety of other systems, and could provide a powerful new tool for the study of complex driven-dissipative quantum systems.
  arXiv  Detail & Related papers  (2021-09-27T17:45:42Z)
• Symmetry indicator in non-Hermitian systems [0.0]
  We study a theory of symmetry indicators for non-Hermitian systems. We list symmetry indicator groups for non-Hermitian systems in the presence of space group symmetries.
  arXiv  Detail & Related papers  (2021-05-03T08:16:37Z)
• Searching for exceptional points and inspecting non-contractivity of trace distance in (anti-)$\mathcal{PT}\!-$symmetric systems [0.0]
  Non-Hermitian systems with parity-time ($mathcalPT$) symmetry and anti-$mathcalPT$ symmetry give rise to exceptional points (EPs) We propose a powerful and easily computable tool, based on the Hilbert-Schmidt speed (HSS), which does not require the diagonalization of the evolved density matrix. We find that the trace distance, a measure of distinguishability of two arbitrary quantum states, may be non-contractive under the non-Hermitian evolution of the system.
  arXiv  Detail & Related papers  (2021-01-12T18:42:52Z)

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.