Quench dynamics and scaling laws in topological nodal loop semimetals

Abstract

We employ quench dynamics as an effective tool to probe different universality classes of topological phase transitions. Specifically, we study a model encompassing both Dirac-like and nodal loop criticalities. Examining the Kibble-Zurek scaling of topological defect density, we discover that the scaling exponent is reduced in the presence of extended nodal loop gap closures. For a quench through a multicritical point, we also unveil a path-dependent crossover between two sets of critical exponents. Bloch state tomography finally reveals additional differences in the defect trajectories for sudden quenches. While the Dirac transition permits a static trajectory under specific initial conditions, we find that the underlying nodal loop leads to complex time-dependent trajectories in general. In the presence of a nodal loop, we find, generically, a mismatch between the momentum modes where topological defects are generated and where dynamical quantum phase transitions occur. We also find notable exceptions where this correspondence breaks down completely.

arXiv comment8 pages, 7 figures; references added

References in corpus (47)

• Topological Insulators
• Classification of topological quantum matter with symmetries
• Nonequilibrium dynamics of closed interacting quantum systems
• Higher-Order Topological Insulators
• Spontaneous symmetry breaking in a quenched ferromagnetic spinor Bose condensate
• Topological quantization of the spin Hall effect in two-dimensional paramagnetic semiconductors
• Zoo of quantum-topological phases of matter
• Dynamical Quantum Phase Transitions in the Transverse Field Ising Model
• Dynamics of a Quantum Phase Transition and Relaxation to a Steady State
• Dynamical quantum phase transitions: a review
• Dynamics of quantum phase transition: exact solution in quantum Ising model
• Experimental reconstruction of the Berry curvature in a topological Bloch band
• Observation of a dynamical topological phase transition
• The simplest quantum model supporting the Kibble-Zurek mechanism of topological defect production: Landau-Zener transitions from a new perspective
• Dynamical Topological Order Parameters far from Equilibrium
• Quantum quench dynamics
• Topological classification of dynamical phase transitions
• Measuring topology by dynamics: Chern number from linking number
• Adiabatic-Impulse approximation for avoided level crossings: from phase transition dynamics to Landau-Zener evolutions and back again
• Quantum Quenches in Chern Insulators
• Quenching Dynamics of a quantum XY spin-1/2 chain in presence of a transverse field
• Probing the Universality of Topological Defect Formation in a Quantum Annealer: Kibble-Zurek Mechanism and Beyond
• Equivalent topological invariants of topological insulators
• Loschmidt Echo Revivals: Critical and Noncritical
• Quenching along a gapless line: A different exponent for defect density
• Realistic Floquet semimetal with exotic topological linkages between arbitrarily many nodal loops
• Defect production due to quenching through a multicritical point
• Full Counting Statistics of Topological Defects After Crossing a Phase Transition
• Dynamical Topological Quantum Phase Transitions at Criticality
• Experimentally testing quantum critical dynamics beyond the Kibble-Zurek mechanism
• Transport and optics at the node in a nodal loop semimetal
• Universal dynamics of inhomogeneous quantum phase transitions: suppressing defect formation
• Scaling Theory of Topological Phase Transitions
• Observation of topological nodal-loop state in RAs3 (R = Ca, Sr)
• Quench dynamics and ground state fidelity of the one-dimensional extended quantum compass model in a transverse field
• Generating quantum multi-criticality in topological insulators by periodic driving
• Decoherence from spin environments: Loschmidt echo and quasiparticle excitations
• Scaling Theory of ${\mathbb{Z}}_2$ Topological Invariants
• Phase vortices of the quenched Haldane Model
• Unifying topological phase transitions in noninteracting, interacting, and periodically driven systems
• Use of quantum quenches to probe the equilibrium current patterns of ultracold atoms in an optical lattice
• Precise Programmable Quantum Simulations with Optical Lattices
• Multi-critical topological transition at quantum criticality
• Quench Dynamics Across Topological Quantum Phase Transitions
• Topological insulating phases from two-dimensional nodal loop semimetals
• Simulating Zeno physics by quantum quench with superconducting circuits
• Curvature function renormalisation, topological phase transitions and multicriticality

Cited by in corpus (15)

• Varying quench dynamics in the transverse Ising chain: the Kibble-Zurek, saturated, and pre-saturated regimes
• Quantum Metric Unveils Defect Freezing in Non-Hermitian Systems
• Topological phase transition between non-high symmetry critical phases and curvature function renormalization group
• Scaling and Universality at Ramped Quench Dynamical Quantum Phase Transition
• Exploring Dynamical Phase Transitions in the XY Chain through Linear Quench: Early and Long-term Perspectives
• Interaction quench of dipolar bosons in a one-dimensional optical lattice
• Kibble-Zurek behavior in a topological phase transition with a quadratic band crossing
• Vortex loop dynamics and dynamical quantum phase transitions in 3D fermion matter
• Emerging topological characterization in non-equilibrium states of quenched Kitaev chains
• Dynamical characterization of $Z_2$ Floquet topological phases via quantum quenches
• Distinguishing dynamical quantum criticality through local fidelity distances
• Structure and scaling of Kitaev chain across a quantum critical point in real space
• Dynamical Phase Transitions in Periodically Driving 1D Ising Model
• Dynamical Geometry of the Haldane Model under a Quantum Quench
• Finite-rate quench in disordered Chern and $Z_2$ topological insulators