Detecting and leaking a Majorana bound state through proximity to a Kitaev ring

• URL: http://arxiv.org/abs/2403.01588v1
• Date: Sun, 3 Mar 2024 18:45:20 GMT
• Title: Detecting and leaking a Majorana bound state through proximity to a Kitaev ring
• Abstract summary: We show that the existence of a Majorana bound state at one end of a Kitaev chain is unambiguously signaled by observable quantities in a nearby Kitaev ring. The proposed setup also invites further investigations in the context of braiding and/or fusion of Majorana states.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We show that the existence of a Majorana bound state at one end of a Kitaev chain is unambiguously signaled by observable quantities in a nearby Kitaev ring. When the Kitaev chain is in the topological phase, the band structure of the Kitaev ring breaks chiral symmetry and the ring-Majoranas' spectral functions are even functions of momentum and energy, the latter wielding time-reversal and particle-hole symmetric occupation numbers and, hence, zero current in the ring. Driving a phase transition in the Kitaev chain (e.g., using a backgate to vary the chemical potential of the chain through its critical value), the replacement of the Majorana bound state by a trivial fermion is manifest by chiral symmetry reappearing in the band structure of the ring and by the ring-Majoranas' spectral functions loss of parity, wielding time-reversal and particle-hole symmetry breaking in the occupation numbers and a spontaneous current in the ring. Energy resonance and maximum spectral weight exactly at the resonance energy concur for a high leakage probability between ring-Majoranas' states and the Majorana bound state, whereas the lack of energy resonance makes unlikely any leakage between ring-Majoranas' states and the trivial fermion states. The proposed setup also invites further investigations in the context of braiding and/or fusion of Majorana states, both as detection mechanisms and for quantum computing purposes.

Related papers

• Unwithered Majorana fermions in the bulk of a quantum chain [0.0]
  The exact results are presented for the XY spin chain in transverse field.<n>The predicted bulk-edge effects can be detected in the specially engineered optical chains and lattices.
  arXiv  Detail & Related papers  (2026-07-31T16:51:29Z)
• Majorana parity qubit in coupled minimal Kitaev chains [1.9392505778974478]
  Majorana zero modes provide a route to fault-tolerant qubits by encoding information non-locally in fermion parity.<n>Our results establish the first coherent control of a Majorana qubit encoded in the fermion parity of Majorana zero modes in minimal Kitaev chains.
  arXiv  Detail & Related papers  (2026-07-10T15:26:48Z)
• 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)
• Entanglement dynamics in minimal Kitaev chains [0.0]
  We investigate the dynamics of bipartite and multipartite entanglement by means of concurrence and geometric measure of entanglement.<n>In two-site Kitaev chains, maximally entangled states can robustly emerge, with their stability and periodicity highly controllable.<n>In the three-site Kitaev chain, we uncover rich bipartite and multipartite entanglement by generalizing the concepts of concurrence and geometric measure of entanglement.
  arXiv  Detail & Related papers  (2025-07-23T15:21:26Z)
• Fractional Wannier Orbitals and Tight-Binding Gauge Fields for Kitaev Honeycomb Superlattices with Flat Majorana Bands [0.19116784879310028]
  Fractional excitations offer vast potential for both fundamental physics and quantum technologies. Here, we investigate the evolution of low-energy Majorana dispersions across various crystalline phases of the pi-flux in the Kitaev spin model on a honeycomb lattice. We identify conditions under which this superexchange interaction acts as a Z2 gauge field, governing the tight-binding hopping of Majorana Wannier orbitals.
  arXiv  Detail & Related papers  (2024-07-17T13:44:39Z)
• Emergent Majorana metal from a chiral spin liquid [50.56734933757366]
  We propose a novel mechanism to explain the emergence of an intermediate gapless spin liquid phase (IGP) in the antiferromagnetic Kitaev model. We show that the Majorana spectral function captures the dynamical spin and dimer correlations obtained by the infinite Projectedangled Pair States (iPEPS) an Entsatz.
  arXiv  Detail & Related papers  (2024-05-20T18:00:01Z)
• Majorana fermions and quantum information with fractional topology and disorder [0.0]
  We introduce a qubit from the occurrence of two delocalized zero-energy Majorana fermions in a model of two spins-$1/2$ on the Bloch sphere. We show how disorder can play a positive and important role allowing singlet-triplet transitions and resulting in an additional elongated region for the fractional phase.
  arXiv  Detail & Related papers  (2023-09-06T16:05:33Z)
• Softening of Majorana edge states by long-range couplings [77.34726150561087]
  Long-range couplings in the Kitaev chain is shown to modify the universal scaling of topological states close to the critical point. We prove that the Majorana states become increasingly delocalised at a universal rate which is only determined by the interaction range.
  arXiv  Detail & Related papers  (2023-01-29T19:00:08Z)
• Measurement phase transitions in the no-click limit as quantum phase transitions of a non-hermitean vacuum [77.34726150561087]
  We study phase transitions occurring in the stationary state of the dynamics of integrable many-body non-Hermitian Hamiltonians. We observe that the entanglement phase transitions occurring in the stationary state have the same nature as that occurring in the vacuum of the non-hermitian Hamiltonian.
  arXiv  Detail & Related papers  (2023-01-18T09:26:02Z)
• Bond current in a mesoscopic ring -- signature of decoherence due to classical and quantum noise [0.0]
  A three-site mesoscopic ring provides an ideal setting for an exact calculation of the bond current when the ring is threaded by an Aharonov-Bohm flux. The coherence-to-incoherence transition is analyzed in detail here for both classical (Gaussian and telegraphic) and quantum noise.
  arXiv  Detail & Related papers  (2022-06-22T14:35:16Z)
• Spectrum of localized states in fermionic chains with defect and adiabatic charge pumping [68.8204255655161]
  We study the localized states of a generic quadratic fermionic chain with finite-range couplings. We analyze the robustness of the connection between bands against perturbations of the Hamiltonian.
  arXiv  Detail & Related papers  (2021-07-20T18:44:06Z)
• $\mathbb{Z}_2$ phases and Majorana spectroscopy in paired Bose-Hubbard chains [0.0]
  We investigate the Bose-Hubbard chain in the presence of nearest-neighbor pairing. We describe a possible cold-atom realization of the paired Bose-Hubbard model in a biased zig-zag optical lattice with reservoir-induced pairing.
  arXiv  Detail & Related papers  (2020-12-04T03:20:11Z)
• Unraveling the topology of dissipative quantum systems [58.720142291102135]
  We discuss topology in dissipative quantum systems from the perspective of quantum trajectories. We show for a broad family of translation-invariant collapse models that the set of dark state-inducing Hamiltonians imposes a nontrivial topological structure on the space of Hamiltonians.
  arXiv  Detail & Related papers  (2020-07-12T11:26:02Z)
• Non-equilibrium non-Markovian steady-states in open quantum many-body systems: Persistent oscillations in Heisenberg quantum spin chains [68.8204255655161]
  We investigate the effect of a non-Markovian, structured reservoir on an open Heisenberg spin chain. We establish a coherent self-feedback mechanism as the reservoir couples frequency-dependent to the spin chain.
  arXiv  Detail & Related papers  (2020-06-05T09:16:28Z)

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.