Unwithered Majorana fermions in the bulk of a quantum chain
- URL: http://arxiv.org/abs/2607.29615v1
- Date: Fri, 31 Jul 2026 16:51:29 GMT
- Title: Unwithered Majorana fermions in the bulk of a quantum chain
- Abstract summary: 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.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: The proposal is to probe Majorana modes in the system when its parameters are tuned to bring it into a disentangled ground state, which occur on the parametric curves known as disorder lines (DL). In such state certain correlation functions do not depend on separation. The exact results are presented for the XY spin chain in transverse field, also called the Kitaev chain in the Majorana representation. The single Majorana modes are shown to be localized near the ends of the chain, as in the states off the DL, while the disentangled $n$-particle Majorana modes ($n \geq 2$) penetrate into the bulk without attenuation. The predicted bulk-edge effects can be detected in the specially engineered optical chains and lattices.
Related papers
- 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) - 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) - Ancilla quantum measurements on interacting chains: Sensitivity of entanglement dynamics to the type and concentration of detectors [46.76612530830571]
We consider a quantum many-body lattice system that is coupled to ancillary degrees of freedom (detectors'')
We explore the dynamics of density and of entanglement entropy in the chain, for various values of $rho_a$ and $M$.
arXiv Detail & Related papers (2023-11-21T21:41:11Z) - On the conclusive detection of Majorana zero modes: conductance
spectroscopy, disconnected entanglement entropy and the fermion parity noise [1.6114012813668934]
nanowires with strong Rashba spin-orbit coupling in the proximity with a superconductor and under a strong Zeeman field can potentially manifest Majorana zero modes at their edges.
We detail mathematical ideas related to the entanglement entropy and the fermion parity fluctuations to faithfully distinguish between true Majorana zero modes and trivial quasi-Majorana zero modes.
arXiv Detail & Related papers (2023-03-07T12:05:29Z) - 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) - Understanding the propagation of excitations in quantum spin chains with
different kind of interactions [68.8204255655161]
It is shown that the inhomogeneous chains are able to transfer excitations with near perfect fidelity.
It is shown that both designed chains have in common a partially ordered spectrum and well localized eigenvectors.
arXiv Detail & Related papers (2021-12-31T15:09:48Z) - Majorana-like oscillation for edge states in one-dimensional topological
chain with dissipative couplings [6.672381426817075]
Majorana modes with near zero energy play an important role for ascertaining Majorana fermions.
We show that common environments shared by each pair of the nearest neighbour sites in the Su-Schrieffer-Heeger chain can result in dissipative couplings.
The controllable topology parameter of the SSHc plays the role of the magnetic field in the nanowire for controlling Majorana oscillation.
arXiv Detail & Related papers (2021-09-10T06:46:05Z) - 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) - Dissipative spin chain as a non-Hermitian Kitaev ladder [0.0]
We derive exact results for the Lindblad equation for a quantum spin chain with dephasing noise.
We show that the system can be mapped to a non-Hermitian Kitaev model on a two-leg ladder.
arXiv Detail & Related papers (2018-12-26T16:59:12Z)
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.