Quenching the Kitaev honeycomb model

Abstract

I studied the non-equilibrium response of an initial Néel state under time evolution with the Kitaev honeycomb model. With isotropic interactions ($J_x=J_y=J_z$) the system quickly loses its antiferromagnetic order and crosses over into a steady state valence bond solid, which can be inferred from the long-range dimer correlations. There is no signature of a dynamical phase transition. Upon including anisotropy ($J_x=J_y\ne J_z$), an exponentially long prethermal regime appears with persistent magnetization oscillations whose period derives from an effective toric code.

17 pages, 7 figures. Resubmission to SciPost

References in corpus (34)

• Anyons in an exactly solved model and beyond
• Nonequilibrium dynamics of closed interacting quantum systems
• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• Quantum Spin Liquids
• "Deconfined" quantum critical points
• Dynamical Quantum Phase Transitions in the Transverse Field Ising Model
• Dynamical quantum phase transitions: a review
• Quench dynamics and relaxation in isolated integrable quantum spin chains
• Direct observation of dynamical quantum phase transitions in an interacting many-body system
• Evidence for deconfined quantum criticality in a two-dimensional Heisenberg model with four-spin interactions
• On the Origin of Zigzag Magnetic Order in Iridium Oxide Na2IrO3
• Prethermalization
• Dynamics of a two-dimensional quantum spin liquid: signatures of emergent Majorana fermions and fluxes
• A Rigorous Theory of Many-Body Prethermalization for Periodically Driven and Closed Quantum Systems
• Dynamical Topological Order Parameters far from Equilibrium
• Entanglement entropy and entanglement spectrum of the Kitaev model
• Prethermalization and thermalization in models with weak integrability breaking
• Disorder-Free Localization
• Disentangling dynamical phase transitions from equilibrium phase transitions
• Exact results on the Kitaev model on a hexagonal lattice: spin states, string and brane correlators, and anyonic excitations
• Exact results for quench dynamics and defect production in a two-dimensional model
• Efficient numerical computation of the Pfaffian for dense and banded skew-symmetric matrices
• Non-coplanar and counter-rotating incommensurate magnetic order stabilized by Kitaev interactions in $\gamma$-Li2IrO3
• Pre-thermalization in a non-integrable quantum spin chain after a quench
• Dynamics of Fractionalization in Quantum Spin Liquids
• Absence of Ergodicity without Quenched Disorder: from Quantum Disentangled Liquids to Many-Body Localization
• Quench dynamics and defect production in the Kitaev and extended Kitaev models
• Physical solutions of the Kitaev honeycomb model
• Prethermal Strong Zero Modes and Topological Qubits
• Quenching a Quantum Critical State by the Order Parameter: Dynamical Quantum Phase Transitions and Quantum Speed Limits
• Universal post-quench prethermalization at a quantum critical point
• Topological Order Following a Quantum Quench
• On the possibility of complete revivals after quantum quenches to a critical point
• Gauge field entanglement of Kitaev's honeycomb model

Cited by in corpus (6)

• Subdiffusive dynamics and critical quantum correlations in a disorder-free localized Kitaev honeycomb model out of equilibrium
• Emergent glassiness in disorder-free Kitaev model: Density matrix renormalization group study on a one-dimensional ladder setting
• Suppression and Control of Pre-thermalization in Multi-component Fermi Gases Following a Quantum Quench
• Nonequilibrium symmetry-protected topological order: emergence of semilocal Gibbs ensembles
• Out-of-equilibrium dynamics of the Kitaev model on the Bethe lattice via coupled Heisenberg equations
• Ultrafast spin dynamics in the proximate quantum spin liquid α-RuCl3