Dynamics of Majorana zero modes across hybrid Kitaev chain
arXiv:2509.26134 · doi:10.1103/7cqp-ws6c
Abstract
The Kitaev chain has been extensively explored in the context of uniform couplings, with studies focusing either on purely nearest-neighbor interactions or on systems dominated by long-range superconducting pairing. Building on these investigations, we introduce a hybrid Kitaev chain in which the lattice is partitioned into two segments: the left segment comprises nearest-neighbor couplings, while the right segment incorporates long-range pairing. To probe the role of the interface, we study two scenarios: a decoupled (suppressed hopping) case, where the segments are isolated, and a coupled case, where they are connected via interface hopping that enables tunneling. Using this setup, we investigate the behavior of Majorana zero modes at the interface between the two segments, finding that in the decoupled case, Majorana zero modes remain sharply localized at the left segment chain edges while massive Dirac modes remain in right segment chain edges, with their energies and localization strongly dependent on the long-range pairing exponent. Introducing a finite interface coupling enables transfer of Majorana zero modes from the edges of the left segment to those of the right segment of the chain. We characterize this dynamics by the fidelity of state transfer, dynamical rotation, and inverse participation ratio. We show the signature of Majorana zero mode transfer across the interface by the spatiotemporal profile of the probability distribution of the time evolved state.
14 pages and 11 figures. Comments and feedback are welcomed
References in corpus (58)
- Non-Abelian Anyons and Topological Quantum Computation
- Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
- Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
- Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
- Classification of topological insulators and superconductors in three spatial dimensions
- Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
- Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
- Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
- Majorana bound states in a coupled quantum-dot hybrid-nanowire system
- Colloquium: Majorana Fermions in nuclear, particle and solid-state physics
- Anomalous modulation of a zero bias peak in a hybrid nanowire-superconductor device
- Quantum critical scaling of the geometric tensors
- Non-Abelian quantum order in spin-orbit-coupled semiconductors: The search for topological Majorana particles in solid state systems
- Measurement-Only Topological Quantum Computation
- Realization of a minimal Kitaev chain in coupled quantum dots
- Kitaev chains with long-range pairing
- Ground state fidelity from tensor network representations
- Quantum Monte Carlo simulations of fidelity at magnetic quantum phase transitions
- Majorana nanowires for topological quantum computation
- Weak measurement protocols for Majorana bound state identification
- Robust poor man's Majorana zero modes using Yu-Shiba-Rusinov states
- Quench dynamics and parity blocking in Majorana wires
- Oscillating fidelity susceptibility near a quantum multicritical point
- Signatures of Majorana protection in a three-site Kitaev chain
- Reduced fidelity in topological quantum phase transitions
- Minimal quantum dot based Kitaev chain with only local superconducting proximity effect
- Inverse participation ratios in the XXZ spin chain
- Identifying trivial and Majorana zero-energy modes using the Majorana polarization
- Detecting topological phase transitions through entanglement between disconnected partitions in a Kitaev chain with long-range interactions
- Majorana nanowires, Kitaev chains, and spin models
- Competition of long-range interactions and noise at ramped quench dynamical quantum phase transition: The case of the long-range pairing Kitaev chain
- Quantum-dot-based Kitaev chains: Majorana quality measures and scaling with increasing chain length
- Entanglement measures of Majorana bound states
- Out of Equilibrium Majoranas in Interacting Kitaev Chains
- Effect of impurities and disorder on the braiding dynamics of Majorana zero modes
- Quantum Algorithms for Inverse Participation Ratio Estimation in multi-qubit and multi-qudit systems
- Emergent pair symmetries in systems with poor man's Majorana modes
- Characterizing Dynamic Majorana Hybridization for Universal Quantum Computing
- Inverse Participation Ratios in the XX spin chain
- Phase diagram of the disordered Kitaev chain with long range pairing connected to external baths
- Dynamic generation of nonequilibrium superconducting states in Kitaev chain
- Softening of Majorana edge states by long-range couplings
- Topological indicators for systems with open boundaries: Application to the Kitaev wire
- Odd-frequency superconducting pairing due to multiple Majorana edge modes in driven topological superconductors
- Nonlocality of Majorana bound states revealed by electron waiting times in a topological Andreev interferometer
- A flux-controlled two-site Kitaev chain
- Floquet-engineered diode performance in a Majorana-quantum dot Josephson junction
- Fractionalized fermionic multicriticality in anisotropic Kitaev spin-orbital liquids
- Controlling nonergodicity in quantum many-body systems by reinforcement learning
- Universal work statistics in long-range interacting quantum systems
- Local Information Flow in Quantum Quench Dynamics
- Transport of Majorana Bound State in the presence of telegraph noise
- Dependence of Krylov complexity on the initial operator and state
- Emerging topological characterization in non-equilibrium states of quenched Kitaev chains
- Nonadiabatic braiding of Majorana modes
- Spin-charge Kondo effect for a quantum dot with side coupled Majorana zero mode
- Exchangeless braiding of Majorana zero modes in weakly coupled Kitaev chains
- Laughlin charge pumping from interplay of chiral Dirac and chiral Majorana modes