Non-Abelian lattice gauge fields in the photonic synthetic frequency dimension

• URL: http://arxiv.org/abs/2406.00321v1
• Date: Sat, 1 Jun 2024 06:40:54 GMT
• Title: Non-Abelian lattice gauge fields in the photonic synthetic frequency dimension
• Authors: Dali Cheng, Kai Wang, Charles Roques-Carmes, Eran Lustig, Olivia Y. Long, Heming Wang, Shanhui Fan,
• Abstract summary: We demonstrate non-Abelian lattice gauge fields for photons. We observe Dirac cones at time-reversal-invariant momenta and the direction reversal of eigenstate trajectories. Our results highlight the implications of non-Abelian gauge field in the study of topological physics.
• Score: 7.226707188689724
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Non-Abelian gauge fields provide a conceptual framework for the description of particles having spins. The theoretical importance of non-Abelian gauge fields motivates their experimental synthesis and explorations. Here, we demonstrate non-Abelian lattice gauge fields for photons. In the study of gauge fields, lattice models are essential for the understanding of their implications in extended systems. We utilize the platform of synthetic frequency dimensions, which enables the study of lattice physics in a scalable and programmable way. We observe Dirac cones at time-reversal-invariant momenta as well as the direction reversal of eigenstate trajectories associated with such Dirac cones. Both of them are unique signatures of non-Abelian gauge fields in our lattice system. Our results highlight the implications of non-Abelian gauge field in the study of topological physics and suggest opportunities for the control of photon spins and pseudospins.

Related papers

• Generalized Gouy Rotation of Electron Vortex beams in uniform magnetic fields [54.010858975226945]
  We study the dynamics of EVBs in magnetic fields using exact solutions of the relativistic paraxial equation in magnetic fields. We provide a unified description of different regimes under generalized Gouy rotation, linking the Gouy phase to EVB rotation angles. This work offers new insights into the dynamics of EVBs in magnetic fields and suggests practical applications in beam manipulation and beam optics of vortex particles.
  arXiv  Detail & Related papers  (2024-07-03T03:29:56Z)
• Does a massless Goldstone boson exist? [0.0]
  The concept of a particle is analyzed within the frame-work of the theory of nonlinear quantum fields. Various states in which the field can exist for given parameters entering into the Lagrangian are considered.
  arXiv  Detail & Related papers  (2023-04-04T12:33:23Z)
• PAC-NeRF: Physics Augmented Continuum Neural Radiance Fields for Geometry-Agnostic System Identification [64.61198351207752]
  Existing approaches to system identification (estimating the physical parameters of an object) from videos assume known object geometries. In this work, we aim to identify parameters characterizing a physical system from a set of multi-view videos without any assumption on object geometry or topology. We propose "Physics Augmented Continuum Neural Radiance Fields" (PAC-NeRF), to estimate both the unknown geometry and physical parameters of highly dynamic objects from multi-view videos.
  arXiv  Detail & Related papers  (2023-03-09T18:59:50Z)
• Topological Gauge Fields and the Composite Particle Duality [0.0]
  We introduce topological gauge fields as nontrivial field configurations enforced by topological currents. These fields crucially determine the form of statistical gauge fields that couple to matter and transmute their statistics.
  arXiv  Detail & Related papers  (2022-11-12T13:55:09Z)
• 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)
• Artificial non-Abelian lattice gauge fields for photons in the synthetic frequency dimension [3.894252291590062]
  We develop a scheme to create an arbitrary SU(2) lattice gauge field for photons in the synthetic frequency dimension. We show that the measurement of the steady-state photon amplitudes inside the resonators can reveal the band structures of the Hamiltonian.
  arXiv  Detail & Related papers  (2022-08-31T17:07:01Z)
• Photon-mediated Stroboscopic Quantum Simulation of a $\mathbb{Z}_{2}$ Lattice Gauge Theory [58.720142291102135]
  Quantum simulation of lattice gauge theories (LGTs) aims at tackling non-perturbative particle and condensed matter physics. One of the current challenges is to go beyond 1+1 dimensions, where four-body (plaquette) interactions, not contained naturally in quantum simulating devices, appear. We show how to prepare the ground state and measure Wilson loops using state-of-the-art techniques in atomic physics.
  arXiv  Detail & Related papers  (2021-07-27T18:10:08Z)
• Optical Indistinguishability via Twinning Fields [68.8204255655161]
  Twinning fields induce identical optical responses from two distinct materials. The universal existence of twinning fields may lead to new research directions in non-linear optics, materials science, and quantum technologies.
  arXiv  Detail & Related papers  (2021-03-01T17:54:13Z)
• Non-Abelian gauge invariance from dynamical decoupling [0.0]
  We employ a coherent quantum control scheme to enforce non-Abelian gauge invariance. We discuss this idea in detail for a one dimensional SU(2) lattice gauge system.
  arXiv  Detail & Related papers  (2020-12-15T21:26:14Z)
• Non-abelian Thouless pumping in a photonic lattice [0.0]
  Non-abelian gauge fields emerge naturally in quantum systems with degenerate levels. We show that they also play a role in Thouless pumping in the presence of degenerate bands. Our work paves the way to the generation and detection of non-abelian gauge fields in photonic and optical lattices.
  arXiv  Detail & Related papers  (2020-10-28T18:13:21Z)
• Scaling limits of lattice quantum fields by wavelets [62.997667081978825]
  The renormalization group is considered as an inductive system of scaling maps between lattice field algebras. We show that the inductive limit of free lattice ground states exists and the limit state extends to the familiar massive continuum free field.
  arXiv  Detail & Related papers  (2020-10-21T16:30:06Z)

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.