Topological dynamical quantum phase transition in a quantum skyrmion phase

Abstract

Quantum skyrmionic phase is modelled in a 2D helical spin lattice. This topological skyrmionic phase retains its nature in a large parameter space before moving to a ferromagnetic phase. Next nearest-neighbour interaction improves the stability and it also causes a shift of the topological phase in the parameter space. Nonanalytic behaviour of the rate function observed, when the system which is initially in a quantum skyrmion phase is quenched to a trivial quantum ferromagnetic phase, indicates a dynamical quantum phase transition. Dynamical quantum phase transition is absent when the system initially in a skyrmion phase is quenched to a helical phase.

References in corpus (59)

• Topological insulators and superconductors
• Many-Body Physics with Ultracold Gases
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Topological Insulators with Inversion Symmetry
• Advances in the Physics of Magnetic Skyrmions and Perspective for Technology
• Topological Crystalline Insulators in the SnTe Material Class
• Experimental realization of a topological crystalline insulator in SnTe
• Dynamical Quantum Phase Transitions in the Transverse Field Ising Model
• Higher-Order Topology in Bismuth
• Dynamical quantum phase transitions: a review
• Multiple-q states and skyrmion lattice of the triangular-lattice Heisenberg antiferromagnet under magnetic fields
• Multiply periodic states and isolated skyrmions in an anisotropic frustrated magnet
• Direct observation of dynamical quantum phase transitions in an interacting many-body system
• Optical skyrmions in evanescent electromagnetic fields
• Observation of a dynamical topological phase transition
• Ultracold atoms out of equilibrium
• Very large Dzyaloshinskii-Moriya interaction in two-dimensional Janus manganese dichalcogenides and its application to realize skyrmion states
• Magnon-skyrmion scattering in chiral magnets
• Physical foundations and basic properties of magnetic skyrmions
• Dynamical quantum phase transitions: scaling and universality
• Chiral skyrmions in cubic helimagnet films: the role of uniaxial anisotropy
• Multisolitons in a Two-dimensional Skyrme Model
• Electric field-induced Skyrmion distortion and giant lattice rotation in the magnetoelectric insulator Cu2OSeO3
• Dynamical quantum phase transitions in systems with broken-symmetry phases
• Skyrmion Qubits: A New Class of Quantum Logic Elements Based on Nanoscale Magnetization
• Dynamical quantum phase transitions in random spin chains
• Bogomol'nyi solitons in a gauged $O(3)$ sigma model
• Path to collapse for an isolated Néel skyrmion
• Experimental Observation of Equilibrium and Dynamical Quantum Phase Transitions via Out-of-Time-Ordered Correlators
• Magnetic texture-induced thermal Hall effects
• Observation of Dynamical Quantum Phase Transition with Correspondence in Excited State Phase Diagram
• Dynamical Quantum Phase Transitions: A Geometric Picture
• Direct demonstration of topological stability of magnetic skyrmions via topology manipulation
• Effective Hamiltonians for fastly driven many-body lattice systems
• Experimental Determination of Dynamical Lee-Yang Zeros
• Floquet dynamical phase transition and entanglement spectrum
• Quantum skyrmions in frustrated ferromagnets
• Quantum Dynamics of Skyrmions in Chiral Magnets
• Dynamical and Reversible Control of Topological Spin Textures
• Magnetic Skyrmions at Critical Coupling
• Observing Dynamical Quantum Phase Transitions through Quasilocal String Operators
• Quantum Collapse of a Magnetic Skyrmion
• Probing the topology of the quantum analog of a classical skyrmion
• Dynamical quantum phase transitions and non-Markovian dynamics
• Quasiperiodic dynamical quantum phase transitions in multiband topological insulators and connections with entanglement entropy and fidelity susceptibility
• Colloquium: Quantum skyrmionics
• First-principles prediction of sub-10 nm skyrmions in Pd/Fe bilayers on Rh(111)
• Controlled Creation of Quantum Skyrmions
• Lee-Yang theory, high cumulants, and large-deviation statistics of the magnetization in the Ising model
• Pulse and quench induced dynamical phase transition in a chiral multiferroic spin chain
• Isospinning baby Skyrmion solutions
• Gauged Baby Skyrme Model with Chern-Simons term
• Unconventional critical exponents at dynamical quantum phase transitions in a random Ising chain
• Signatures of topology in quantum quench dynamics and their interrelation
• Zero-field skyrmionic states and in-field edge-skyrmions induced by boundary tuning
• Broken planar Skyrmions -- statics and dynamics
• Heisenberg-exchange-free nanoskyrmion mosaic
• A model for individual quantal nano-skyrmions
• Geometrical quench and dynamical quantum phase transition in the $\alpha -T_3$ lattice

Cited by in corpus (11)

• Prethermal Floquet time crystals in chiral multiferroic chains and applications as quantum sensors of AC fields
• Competition of long-range interactions and noise at ramped quench dynamical quantum phase transition: The case of the long-range pairing Kitaev chain
• Scaling and Universality at Ramped Quench Dynamical Quantum Phase Transition
• The quantum skyrmion Hall effect in f electron systems
• Scaling and Universality at Noisy Quench Dynamical Quantum Phase Transitions
• Superconducting Diode sensor
• Distinguishing dynamical quantum criticality through local fidelity distances
• Skyrmionic qubits stabilized by Dzyaloshinskii-Moriya interaction as platforms for qubits and quantum gates
• Emergent dynamical quantum phase transition in a $Z_3$ symmetric chiral clock model
• Skyrmionic Schrödinger cat states in monoaxial chiral magnets
• Floquet dynamical quantum phase transitions in periodically flux-quenched systems