Compact localized fermions and Ising anyons in a chiral spin liquid

• URL: http://arxiv.org/abs/2511.05105v1
• Date: Fri, 07 Nov 2025 09:43:43 GMT
• Title: Compact localized fermions and Ising anyons in a chiral spin liquid
• Authors: Tim Bauer, Johannes Reuther,
• Abstract summary: We report the absence of hybridization for compact localized states emerging in the chiral spin liquid described by the Yao-Kive model.<n>We derive exact expressions for CLS for various flux configurations and both for the topological and trivial phases of the model.<n>Our results inform the quantum simulation of topologically ordered states of matter and open avenues for exploring flat-band physics in quantum spin liquids.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Quasiparticle hybridization remains a major challenge to realizing and controlling exotic states of matter in existing quantum simulation platforms. We report the absence of hybridization for compact localized states (CLS) emerging in the chiral spin liquid described by the Yao-Kivelson model. The CLS form due to destructive quantum interference at fine-tuned coupling constants and populate perfectly flat quasiparticle bands on an effective kagome lattice. Using a formalism for general Majorana-hopping Hamiltonians, we derive exact expressions for CLS for various flux configurations and both for the topological and trivial phases of the model. In addition to finite-energy matter fermions with characteristic spin-spin correlations, we construct compact localized Majorana zero modes attached to $\pi$-flux excitations, which enable non-Abelian braiding of Ising anyons with minimal separation. Our results inform the quantum simulation of topologically ordered states of matter and open avenues for exploring flat-band physics in quantum spin liquids.

Related papers

• Topological crystals and soliton lattices in a Gross-Neveu model with Hilbert-space fragmentation [39.146761527401424]
  We explore the finite-density phase diagram of the single-flavour Gross-Neveu-Wilson (GNW) model.<n>We find a sequence of inhomogeneous ground states that arise through a real-space version of the mechanism of Hilbert-space fragmentation.
  arXiv  Detail & Related papers  (2025-06-23T14:19:35Z)
• Bosonic vs. Fermionic Matter in Quantum Simulations of $2+1$D Gauge Theories [0.0]
  We study the model coupled to hardcore bosons and identify a similar phase structure, though with a more intricate mixture of phases around the transition.<n>Our findings suggest that bosons can effectively replace fermions in lattice gauge theory simulations.
  arXiv  Detail & Related papers  (2025-04-23T18:00:04Z)
• Emergent Kitaev materials in synthetic Fermi-Hubbard bilayers [45.88028371034407]
  Bond-directional spin-spin interactions in a Fermi-Hubbard bilayer can be realized with ultracold fermions in Raman optical lattices.<n>We analyze the Fermi-liquid and Mott-insulating phases, highlighting a correspondence between Dirac and Majorana quasi-particles.<n>Our results establish that cold-atom quantum simulators based on Raman optical lattices can be a playground for extended Kitaev models.
  arXiv  Detail & Related papers  (2025-04-22T10:07:56Z)
• Harnessing Chiral Spin States in Molecular Nanomagnets for Quantum Technologies [44.1973928137492]
  We show that chiral qubits naturally suppress always-on interactions that can not be switched off in weakly coupled qubits.<n>Our findings establish spin chirality engineering as a promising strategy for mitigating always-on interaction in entangling two chiral qubits in molecular quantum technologies.
  arXiv  Detail & Related papers  (2025-01-21T08:23:12Z)
• Cavity-Vacuum-Induced Chiral Spin Liquids in Kagome Lattices: Tuning and Probing Topological Quantum Phases via Cavity Quantum Electrodynamics [4.696206083367064]
  Topological phases in frustrated quantum magnetic systems have captivated researchers for decades.<n>The chiral spin liquid (CSL) is one of the most compelling examples.<n>We show that CSLs can emerge in a kagome lattice driven by vacuum quantum fluctuations within a single-mode chiral cavity.
  arXiv  Detail & Related papers  (2024-11-12T19:00:18Z)
• Cavity Control of Topological Qubits: Fusion Rule, Anyon Braiding, and Majorana-Schrödinger Cat States [36.94429692322632]
  We investigate the effects of coupling a local electromagnetic cavity to a segment of a topological Kitaev chain (KC)<n>We provide evidence of non-trivial fusion rules and braiding operations, hallmark signatures of non-Abelian anyons, enabled by spatially selective ultrastrong KC-cavity coupling.<n>Our findings offer a novel approach to manipulating topological quantum matter through local light-matter interactions.
  arXiv  Detail & Related papers  (2024-09-06T18:00:00Z)
• Emergent quantum Majorana metal from a chiral spin liquid [50.56734933757366]
  We propose a mechanism to explain the emergence of an intermediate gapless spin liquid phase in the antiferromagnetic Kitaev model.<n>We show that the Majorana spectral function captures the dynamical spin and dimer correlations obtained by the infinite Projectedangled Pair States method.
  arXiv  Detail & Related papers  (2024-05-20T18:00:01Z)
• Dynamical Spectral Response of Fractonic Quantum Matter [0.0]
  We study the low-energy excitations of a constrained Bose-Hubbard model in one dimension. We show the existence of gapped excitations compatible with strong coupling results.
  arXiv  Detail & Related papers  (2023-10-24T18:00:01Z)
• Halide perovskite artificial solids as a new platform to simulate collective phenomena in doped Mott insulators [43.55994393060723]
  We introduce artificial lattices made of lead halide perovskite nanocubes as a new platform to simulate and investigate the physics of correlated quantum materials. We show that, at large photo-doping, the exciton gas undergoes an excitonic Mott transition, which fully realizes the magnetic-field-driven insulator-to-metal transition described by the Hubbard model. Our results demonstrate that time-resolved experiments span a parameter region of the Hubbard model in which long-range and phase-coherent orders emerge out of a doped Mott insulating phase.
  arXiv  Detail & Related papers  (2023-03-15T17:38:51Z)
• Gauge-theoretic origin of Rydberg quantum spin liquids [0.0]
  We introduce an exact relation between an Ising-Higgs lattice gauge theory on the kagome lattice and blockaded models on Ruby lattices. This relation elucidates the origin of previously observed topological spin liquids by directly linking the latter to a deconfined phase of a solvable gauge theory.
  arXiv  Detail & Related papers  (2022-05-25T18:19:26Z)
• Tuning long-range fermion-mediated interactions in cold-atom quantum simulators [68.8204255655161]
  Engineering long-range interactions in cold-atom quantum simulators can lead to exotic quantum many-body behavior. Here, we propose several tuning knobs, accessible in current experimental platforms, that allow to further control the range and shape of the mediated interactions.
  arXiv  Detail & Related papers  (2022-03-31T13:32:12Z)
• Phase diagram of Rydberg-dressed atoms on two-leg square ladders: Coupling supersymmetric conformal field theories on the lattice [52.77024349608834]
  We investigate the phase diagram of hard-core bosons in two-leg ladders in the presence of soft-shoulder potentials. We show how the competition between local and non-local terms gives rise to a phase diagram with liquid phases with dominant cluster, spin, and density-wave quasi-long-range ordering.
  arXiv  Detail & Related papers  (2021-12-20T09:46:08Z)

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.