Sudden quenching in the Kitaev honeycomb model: Study of defect and heat generation

Abstract

We study the behavior of the defect and heat densities under sudden quenching near the quantum critical points in the two-dimensional Kitaev honeycomb model both in the thermodynamic and non-thermodynamic limits. We consider quenches starting from a quantum critical point into the gapped as well as the gapless phases. We choose points on the lines of anisotropic quantum critical points as well as different points of intersection of these lines as the initial points from where the quenching starts. We find that the defect and heat densities display the expected power-law scalings along with logarithmic corrections to scaling (or cusp singularities) in certain cases. In the vicinity of some of the intersection points the scaling behaviors change, indicating an effective dimensional reduction; the scaling behavior near these points depends on the number of critical lines crossed in the process of quenching. All the analytical predictions are also verified by numerical integration.

arXiv comment9 pages, 8 figures

References in corpus (46)

• Anyons in an exactly solved model and beyond
• Thermalization and its mechanism for generic isolated quantum systems
• Nonequilibrium dynamics of closed interacting quantum systems
• Entanglement in quantum critical phenomena
• Topological entanglement entropy
• Scaling of Entanglement close to a Quantum Phase Transitions
• Relaxation in a Completely Integrable Many-Body Quantum System: An Ab Initio Study of the Dynamics of the Highly Excited States of Lattice Hard-Core Bosons
• Entanglement in a simple quantum phase transition
• Continuous Quantum Phase Transitions
• Cosmological Experiments in Condensed Matter Systems
• Ground state overlap and quantum phase transitions
• Dynamics of a Quantum Phase Transition
• Quantum phase transitions
• Dynamics of a Quantum Phase Transition and Relaxation to a Steady State
• Dynamics of quantum phase transition: exact solution in quantum Ising model
• Decay of Loschmidt Echo Enhanced by Quantum Criticality
• Fidelity approach to quantum phase transitions
• Universal adiabatic dynamics across a quantum critical point
• Quantum critical scaling of the geometric tensors
• The Flux-Phase of the Half-Filled Band
• The simplest quantum model supporting the Kibble-Zurek mechanism of topological defect production: Landau-Zener transitions from a new perspective
• Topological characterization of quantum phase transitions in a S=1/2 spin model
• Quantum quench dynamics of the Luttinger model
• Quantum quench dynamics of some exactly solvable models in one dimension
• Quench dynamics near a quantum critical point
• Ground-State Fidelity and Bipartite Entanglement in the Bose-Hubbard Model
• Exact results on the Kitaev model on a hexagonal lattice: spin states, string and brane correlators, and anyonic excitations
• Quantum Critical Scaling of Fidelity Susceptibility
• Exact results for quench dynamics and defect production in a two-dimensional model
• Entropy and Correlation Functions of a Driven Quantum Spin Chain
• Ground state fidelity from tensor network representations
• A short review on entanglement in quantum spin systems
• Quenching Dynamics of a quantum XY spin-1/2 chain in presence of a transverse field
• Edge solitons of topological insulators and fractionalized quasiparticles in two dimensions
• Quantum Monte Carlo simulations of fidelity at magnetic quantum phase transitions
• Quantum fidelity in the thermodynamic limit
• Quench dynamics and defect production in the Kitaev and extended Kitaev models
• Critical dynamics of decoherence
• Quench dynamics near a quantum critical point: application to the sine-Gordon model
• Scaling dimension of fidelity susceptibility in quantum phase transitions
• Loschmidt echo with a non-equilibrium initial state: early time scaling and enhanced decoherence
• Scaling of ground state fidelity in the thermodynamic limit: XY model and beyond
• The scaling of the decoherence factor of a qubit coupled to a spin chain driven across quantum critical points
• Quantum fidelity for one-dimensional Dirac fermions and two-dimensional Kitaev model in the thermodynamic limit
• Slow quench dynamics of the Kitaev model: anisotropic critical point and effect of disorder
• Fidelity susceptibility and general quench near an anisotropic quantum critical point

Cited by in corpus (11)

• Hunting Majorana Fermions in Kitaev Magnets
• 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
• Quench dynamics and ground state fidelity of the one-dimensional extended quantum compass model in a transverse field
• An exactly solvable quench protocol for integrable spin models
• Nonequilibrium Majorana Dynamics by Quenching a Magnetic Field in Kitaev Spin Liquids
• One and two-dimensional quantum models: quenches and the scaling of irreversible entropy
• Work statistics across a quantum critical surface
• Dynamical manipulation of Dirac points in the Kitaev honeycomb model
• Role of marginality in quantum fidelity and Loschmidt echo: Dirac points in 2-D
• Out-of-equilibrium dynamics of the Kitaev model on the Bethe lattice via coupled Heisenberg equations