Dynamical generation of Majorana edge correlations in a ramped Kitaev chain coupled to nonthermal dissipative channels

Abstract

We quantitatively study the out-of-equilibrium edge-Majorana correlation in a linearly ramped one-dimensional Kitaev chain of finite length in a dissipative environment. The chemical potential is dynamically ramped to drive the chain from its topologically trivial to nontrivial phase in the presence of couplings to nonthermal Markovian baths. We consider two distinctive situations: In the first situation, the bath is quasilocal in the site basis (local in quasiparticle basis) while in the other it is local. Following a Lindbladian approach, we compute the early time dynamics as well as the asymptotic behavior of the edge-Majorana correlation to probe the interplay between two competing timescales - one due to the coherent ramping while the other to the dissipative coupling. For the quasilocal bath, we establish that there is a steady generation of Majorana correlations in asymptotic time and the presence of an optimal ramping time which facilitates a quicker approach to the topological steady state. In the second scenario, we analyze the action of a local particle-loss type of bath in which we have established the existence of an optimal ramping time which results from the competing dynamics between the unitary ramp and the dissipative coupling. While the defect generated by the former decays exponentially with increasing ramp duration, the later scales linearly with the same. This linear scaling is further established through a perturbation theory formulated using the nondimensionalized coupling to the bath as a small parameter.

arXiv comment12 pages, 3 figures, published version

References in corpus (57)

• Quantum Spin Hall Effect in Graphene
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• 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
• Helical liquids and Majorana bound states in quantum wires
• New directions in the pursuit of Majorana fermions in solid state systems
• Novel Symmetry Classes in Mesoscopic Normal-Superconducting Hybrid Structures
• 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
• Floquet Topological Insulator in Semiconductor Quantum Wells
• Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
• Photovoltaic Hall effect in graphene
• Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
• Observation of the fractional ac Josephson effect: the signature of Majorana particles
• Transport properties of non-equilibrium systems under the application of light: Photo-induced quantum Hall insulators without Landau levels
• Introduction to topological superconductivity and Majorana fermions
• Superconductor-Nanowire Devices from Tunneling to the Multichannel Regime: Zero-Bias Oscillations and Magnetoconductance Crossover
• Anomalous modulation of a zero bias peak in a hybrid nanowire-superconductor device
• Non-Abelian Topological Order in S-Wave Superfluids of Ultracold Fermionic Atoms
• Topology by Dissipation in Atomic Quantum Wires
• Quantized Majorana conductance
• Third quantization: a general method to solve master equations for quadratic open Fermi systems
• Floquet topological insulators
• Non-Abelian quantum order in spin-orbit-coupled semiconductors: The search for topological Majorana particles in solid state systems
• Chiral Majorana edge state in a quantum anomalous Hall insulator-superconductor structure
• Majorana Fermions in Semiconductor Nanowires: Fundamentals, Modeling, and Experiment
• $p_x+i{p}_y$ superfluid from s-wave interactions of fermionic cold atoms
• Ballistic Majorana nanowire devices
• Multiterminal Conductance of a Floquet Topological Insulator
• Out of equilibrium electrons and the Hall conductance of a Floquet topological insulator
• Kitaev chains with long-range pairing
• A Short Introduction to Topological Quantum Computation
• Topology induced anomalous defect production by crossing a quantum critical point
• Long-range Ising and Kitaev Models: Phases, Correlations and Edge Modes
• Exact solution of Markovian master equations for quadratic fermi systems: thermal baths, open XY spin chains, and non-equilibrium phase transition
• Topological Massive Dirac Edge Modes and Long-Range Superconducting Hamiltonians
• Probing the role of long-range interactions in the dynamics of a long-range Kitaev Chain
• Topological indices for open and thermal systems via Uhlmann's phase
• Lindblad dissipative dynamics in presence of phase coexistence
• Majorana modes and $p$-wave superfluids for fermionic atoms in optical lattices
• Role of dissipation in realistic Majorana nanowires
• Non-equilibrium phase transition in a periodically driven XY spin chain
• Persistent Hall response in a quantum quench
• Dynamical delocalization of Majorana edge states by sweeping across a quantum critical point
• Dissipation in adiabatic quantum computers: Lessons from an exactly solvable model
• Probing Atomic Majorana Fermions in Optical Lattices
• Dynamical signatures of topological order in the driven-dissipative Kitaev chain
• Stretched exponential decay of Majorana edge modes in many-body localized Kitaev chains under dissipation
• Survival probability of an edge Majorana in a 1-D p-wave superconducting chain under sudden quenching of parameters
• Quench Dynamics of Edge States in 2-D Topological Insulator Ribbons
• One-dimensional quantum many body systems with long-range interactions
• Adiabatic multicritical quantum quenches: Continuously varying exponents depending on the direction of quenching
• Singular dynamics and emergence of nonlocality in long-range quantum models

Cited by in corpus (15)

• Quantum Annealing: An Overview
• Many-body quantum thermal machines
• Growth of mutual information in a quenched one-dimensional open quantum many body system
• Driven quantum many-body systems and out-of-equilibrium topology
• Dissipation-induced topological transitions in continuous Weyl materials
• Dissipative preparation of many-body Floquet Chern insulators
• Dissipative dynamics at first-order quantum transitions
• Driven quantum spin chain in the presence of noise: Anti-Kibble-Zurek behavior
• Detecting topological phase transitions through entanglement between disconnected partitions in a Kitaev chain with long-range interactions
• Kibble-Zurek mechanism in a Dissipative Transverse Ising Chain
• Classical simulation and theory of quantum annealing in a thermal environment
• Driven one-dimensional noisy Kitaev chain
• Disconnected entanglement entropy as a marker of edge modes in a periodically driven Kitaev chain
• Signatures of quantum phases in a dissipative system
• Topological signatures in a weakly dissipative Kitaev chain of finite length