Non-Hermitian non-Abelian topological transition in the S=1 electron spin system of a nitrogen vacancy centre in diamond

• URL: http://arxiv.org/abs/2503.17597v1
• Date: Sat, 22 Mar 2025 00:54:28 GMT
• Title: Non-Hermitian non-Abelian topological transition in the S=1 electron spin system of a nitrogen vacancy centre in diamond
• Authors: Yunhan Wang, Yang Wu, Xiangyu Ye, Chang-Kui Duan, Ya Wang, Haiping Hu, Xing Rong, Jiangfeng Du,
• Abstract summary: We report the observation of the non-Hermitian non-Abelian topological transition at the atomic scale utilizing a nitrogenvacancy center in diamond.<n>We experimentally revealed an intriguing consequence of this transition, which is the creation of a third-order exceptional point.
• Score: 12.88459291396421
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Topological phases and transitions are of fundamental importance in physics, which provide a deep insight into the understanding of materials. Recently, non-Abelian topological transitions have been investigated in Hermitian systems, revealing important topological features. With non-Hermiticity introduced, non-Hermitian non-Abelian topological transitions bring about more intriguing topological features, yet has not been experimentally explored. In this work, we report the observation of the non-Hermitian non-Abelian topological transition at the atomic scale utilizing a nitrogenvacancy center in diamond. While the well-established topological numbers, failed to recognize this transition, we successfully characterized such a transition with the measurement of the complex eigenvalue braids. We obtained the braid invariants from the measured relative phases between eigenvalues. The observed change in braid invariants provides a clear signature of the non-Abelian topological transition. Furthermore, we experimentally revealed an intriguing consequence of this transition, which is the creation of a third-order exceptional point through the collision of two second-order exceptional points with opposite charges. Our experimental findings shed light on the abundant non-Abelian topological phenomena involving non-Hermiticity, and provide insights into manipulating the spectral topology in atomic scale systems to achieve exotic functionalities arising from non-Abelian band braiding.

Related papers

• Spontaneous Chern-Euler Duality Transitions [8.883329589181685]
  Topological phase transitions are characterized by abrupt changes in a quantized invariant. We show that the transition features qualitative changes in the non-Abelian geometric phases during spontaneous parity-time symmetry breaking. Our findings establish a novel topological duality principle governing transitions across symmetry classes and reveal unique non-unitary features intertwining topology, symmetry, and non-Abelian gauge structure.
  arXiv  Detail & Related papers  (2025-03-27T18:00:00Z)
• Nonlinearity-driven Topology via Spontaneous Symmetry Breaking [79.16635054977068]
  We consider a chain of parametrically-driven quantum resonators coupled only via weak nearest-neighbour cross-Kerr interaction.<n>Topology is dictated by the structure of the Kerr nonlinearity, yielding a non-trivial bulk-boundary correspondence.
  arXiv  Detail & Related papers  (2025-03-15T00:20:45Z)
• Spin Winding and Topological Nature of Transitions in Jaynes-Cummings Model with Stark Non-linear Coupling [0.0]
  We study single-qubit topological phase transitions in light-matter interactions. Our results may provide a deeper insight for the few-body phase transitions in light-matter interactions.
  arXiv  Detail & Related papers  (2023-08-30T18:51:55Z)
• Higher-order topological Peierls insulator in a two-dimensional atom-cavity system [58.720142291102135]
  We show how photon-mediated interactions give rise to a plaquette-ordered bond pattern in the atomic ground state. The pattern opens a non-trivial topological gap in 2D, resulting in a higher-order topological phase hosting corner states. Our work shows how atomic quantum simulators can be harnessed to investigate novel strongly-correlated topological phenomena.
  arXiv  Detail & Related papers  (2023-05-05T10:25:14Z)
• Non-Abelian generalization of non-Hermitian quasicrystal: PT-symmetry breaking, localization, entanglement and topological transitions [0.0]
  Non-Hermitian quasicrystal forms a unique class of matter with symmetry-breaking, localization and topological transitions. In this work, we introduce a non-Abelian generalization of the non-Hermitian quasicrystal.
  arXiv  Detail & Related papers  (2023-02-11T14:52:36Z)
• Non-Abelian braiding of graph vertices in a superconducting processor [144.97755321680464]
  Indistinguishability of particles is a fundamental principle of quantum mechanics. braiding of non-Abelian anyons causes rotations in a space of degenerate wavefunctions. We experimentally verify the fusion rules of the anyons and braid them to realize their statistics.
  arXiv  Detail & Related papers  (2022-10-19T02:28:44Z)
• Observation of a symmetry-protected topological phase in external magnetic fields [1.4515101661933258]
  We report the real-space observation of a symmetry-protected topological phase with interacting nuclear spins. We probe the interaction-induced transition between two topologically distinct phases, both of which are classified by many-body Chern numbers. Our findings enable direct characterization of topological features of quantum many-body states through gradually decreasing the strength of the introduced external fields.
  arXiv  Detail & Related papers  (2022-08-10T14:08:01Z)
• 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)
• 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)
• 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.