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.
arXiv comment14 pages and 11 figures. Comments and feedback are welcomed
References in corpus (115)
- Topological Insulators
- Topological insulators and superconductors
- Fault-tolerant quantum computation by anyons
- Non-Abelian Anyons and Topological Quantum Computation
- Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
- Unpaired Majorana fermions in quantum wires
- Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
- Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
- Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
- Classification of topological insulators and superconductors in three spatial dimensions
- Helical liquids and Majorana bound states in quantum wires
- New directions in the pursuit of Majorana fermions in solid state systems
- Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
- Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
- A generic new platform for topological quantum computation using semiconductor heterostructures
- Search for Majorana fermions in superconductors
- Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
- Topological superconductors: a review
- Majorana fermions in a tunable semiconductor device
- Majorana Zero Modes and Topological Quantum Computation
- Majorana bound states in a coupled quantum-dot hybrid-nanowire system
- Realizing Majorana zero modes in superconductor-semiconductor heterostructures
- Topological Bands for Ultracold Atoms
- Colloquium: Majorana Fermions in nuclear, particle and solid-state physics
- Ground state overlap and quantum phase transitions
- Anomalous modulation of a zero bias peak in a hybrid nanowire-superconductor device
- Majorana Fermions in Equilibrium and Driven Cold Atom Quantum Wires
- Majorana fermions in chains of magnetic atoms on a superconductor
- Topologically-Protected Qubits from a Possible Non-Abelian Fractional Quantum Hall State
- 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
- Majorana Fermions in Semiconductor Nanowires
- Topological Superconductivity in a Phase-Controlled Josephson Junction
- Measurement-Only Topological Quantum Computation
- Realization of a minimal Kitaev chain in coupled quantum dots
- Topological Superconductivity in a Planar Josephson Junction
- How to realize a robust practical Majorana chain in a quantum dot-superconductor linear array
- Universal Quantum Computation with the nu=5/2 Fractional Quantum Hall State
- Two-dimensional platform for networks of Majorana bound states
- Spin and Majorana polarization in topological superconducting wires
- Realization of 2D Spin-orbit Interaction and Exotic Topological Orders in Cold Atoms
- Kitaev chains with long-range pairing
- Majorana Fermions in superconducting wires: effects of long-range hopping, broken time-reversal symmetry and potential landscapes
- Quantized zero bias conductance plateau in semiconductor-superconductor heterostructures without non-Abelian Majorana zero modes
- Tunneling Spectroscopy of Quasiparticle Bound States in a Spinful Josephson Junction
- Ground state fidelity from tensor network representations
- Long-range Ising and Kitaev Models: Phases, Correlations and Edge Modes
- Quantum Monte Carlo simulations of fidelity at magnetic quantum phase transitions
- Quantum fidelity in the thermodynamic limit
- Topological Massive Dirac Edge Modes and Long-Range Superconducting Hamiltonians
- Majorana nanowires for topological quantum computation
- Probing the role of long-range interactions in the dynamics of a long-range Kitaev Chain
- Simulation of non-Abelian braiding in Majorana time crystals
- Extended Kitaev chain with longer-range hopping and pairing
- Gauging classical and quantum integrability through out-of-time ordered correlators
- Visualising Majorana bound states in 1D and 2D using the generalized Majorana polarization
- Weak measurement protocols for Majorana bound state identification
- Topological Quantum Liquids with Long-Range Couplings
- Robust poor man's Majorana zero modes using Yu-Shiba-Rusinov states
- Information propagation and equilibration in long-range Kitaev chains
- Exact eigenvectors and eigenvalues of the finite Kitaev chain and its topological properties
- Entanglement entropy in the Long-Range Kitaev chain
- Quench dynamics and parity blocking in Majorana wires
- Dynamical criticality and domain-wall coupling in long-range Hamiltonians
- 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
- One-dimensional quantum many body systems with long-range interactions
- Disorder effects on Majorana zero modes: Kitaev chain versus semiconductor nanowire
- Topological properties of the long-range Kitaev chain with Aubry-André-Harper modulation
- Minimal quantum dot based Kitaev chain with only local superconducting proximity effect
- Universal dynamical scaling of long-range topological superconductors
- Current transport properties and phase diagram of a Kitaev chain with long-range pairing
- Inverse participation ratios in the XXZ spin chain
- Long-range Kitaev Chains via Planar Josephson Junctions
- Central Charge of Periodically Driven Critical Kitaev Chains
- Quantum fidelity for one-dimensional Dirac fermions and two-dimensional Kitaev model in the thermodynamic limit
- Correlation decay in fermionic lattice systems with power-law interactions at non-zero temperature
- How to measure the Majorana polarization of a topological planar Josephson junction
- Identifying trivial and Majorana zero-energy modes using the Majorana polarization
- Critical phase boundaries of static and periodically kicked long-range Kitaev chain
- Detecting topological phase transitions through entanglement between disconnected partitions in a Kitaev chain with long-range interactions
- Majorana nanowires, Kitaev chains, and spin models
- Kitaev chain with a quantum dot
- 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
- Majoranas with and without a 'character': hybridization, braiding and Majorana number
- Quantum Algorithms for Inverse Participation Ratio Estimation in multi-qubit and multi-qudit systems
- Effect of impurities and disorder on the braiding dynamics of Majorana zero modes
- Majorana orthogonal transformation and Majorana zero modes in free fermionic systems
- Characterizing Dynamic Majorana Hybridization for Universal Quantum Computing
- Inverse Participation Ratios in the XX spin chain
- Emergent pair symmetries in systems with poor man's Majorana modes
- Phase diagram of the disordered Kitaev chain with long range pairing connected to external baths
- Softening of Majorana edge states by long-range couplings
- Dynamic generation of nonequilibrium superconducting states in Kitaev chain
- Odd-frequency superconducting pairing due to multiple Majorana edge modes in driven topological superconductors
- Topological indicators for systems with open boundaries: Application to the Kitaev wire
- Nonlocality of Majorana bound states revealed by electron waiting times in a topological Andreev interferometer
- Effect of interaction on the Majorana zero modes in the Kitaev chain at half filling
- A flux-controlled two-site Kitaev chain
- Floquet-engineered diode performance in a Majorana-quantum dot Josephson junction
- 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
- Fractionalized fermionic multicriticality in anisotropic Kitaev spin-orbital liquids
- Emerging topological characterization in non-equilibrium states of quenched Kitaev chains
- Dependence of Krylov complexity on the initial operator and state
- Transport of Majorana Bound State in the presence of telegraph noise
- Nonadiabatic braiding of Majorana modes
- Exchangeless braiding of Majorana zero modes in weakly coupled Kitaev chains
- Spin-charge Kondo effect for a quantum dot with side coupled Majorana zero mode
- Laughlin charge pumping from interplay of chiral Dirac and chiral Majorana modes