Scaling corrections in driven critical dynamics: Application to a two-dimensional dimerized quantum Heisenberg model

Abstract

Driven critical dynamics in quantum phase transitions holds significant theoretical importance, and also practical applications in fast-developing quantum devices. While scaling corrections have been shown to play important roles in fully characterizing equilibrium quantum criticality, their impact on nonequilibrium critical dynamics has not been extensively explored. In this work, we investigate the driven critical dynamics in a two-dimensional quantum Heisenberg model. We find that in this model the scaling corrections arising from both finite system size and finite driving rate must be incorporated into the finite-time scaling form in order to properly describe the nonequilibrium scaling behaviors. In addition, improved scaling relations are obtained from the expansion of the full scaling form. We numerically verify these scaling forms and improved scaling relations for different starting states using the nonequilibrium quantum Monte Carlo algorithm.

7 pages, 5 figures

References in corpus (41)

• Nonequilibrium dynamics of closed interacting quantum systems
• From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
• Fermi-liquid instabilities at magnetic quantum phase transitions
• Dynamics of a Quantum Phase Transition
• Dynamics of a Quantum Phase Transition and Relaxation to a Steady State
• Bose-Einstein Condensation in Magnetic Insulators
• Dynamics of quantum phase transition: exact solution in quantum Ising model
• Quantum Kibble-Zurek mechanism and critical dynamics on a programmable Rydberg simulator
• Computational Studies of Quantum Spin Systems
• Quantum magnetism and criticality
• Quantum Optimization of Maximum Independent Set using Rydberg Atom Arrays
• Critical Dynamics of Spontaneous Symmetry Breaking in a Homogeneous Bose gas
• Spontaneous creation of Kibble-Zurek solitons in a Bose-Einstein condensate
• Quantum critical dynamics in a 5000-qubit programmable spin glass
• The Kibble-Zurek Problem: Universality and the Scaling Limit
• Ground-State Phase Diagram of Quantum Heisenberg Antiferromagnets on the Anisotropic Dimerized Square Lattice
• High-precision finite-size scaling analysis of the quantum-critical point of S=1/2 Heisenberg antiferromagnetic bilayers
• Universal space-time scaling symmetry in the dynamics of bosons across a quantum phase transition
• Quantum and classical criticality in a dimerized quantum antiferromagnet
• Non-equilibrium dynamic critical scaling of the quantum Ising chain
• Dynamics of a quantum phase transition in a ferromagnetic Bose-Einstein condensate
• Defect formation and local gauge invariance
• Dynamical non-ergodic scaling in continuous finite-order quantum phase transitions
• Universal nonequilibrium quantum dynamics in imaginary time
• Evidence of Unconventional Universality Class in a Two-Dimensional Dimerized Quantum Heisenberg Model
• Dynamic scaling at classical phase transitions approached through non-equilibrium quenching
• Nonequilibrium quantum criticality in open systems: The dissipation rate as an additional indispensable scaling variable
• Dynamical structure factors and excitation modes of the bilayer Heisenberg model
• Kibble-Zurek Mechanism and Finite-Time Scaling
• Anomalous quantum-critical scaling corrections in two-dimensional antiferromagnets
• Kibble-Zurek mechanism of Ising domains
• Theory of Driven Nonequilibrium Critical Phenomena
• Quasi-adiabatic quantum Monte Carlo algorithm for quantum evolution in imaginary time
• Multiplicative logarithmic corrections to quantum criticality in three-dimensional dimerized antiferromagnets
• Microscopic theory of non-adiabatic response in real and imaginary time
• Equilibration of Topological Defects Near the Deconfined Quantum Multicritical Point
• Classification for the universal scaling of Néel temperature and staggered magnetization density of three-dimensional dimerized spin-1/2 antiferromagnets
• Universal scaling of three-dimensional dimerized quantum antiferromagnets on bipartite lattices
• Imaginary-time relaxation quantum critical dynamics in two-dimensional dimerized Heisenberg model
• Quantum critical dynamics for a prototype class of insulating antiferromagnets
• Driven Critical Dynamics in Measurement-induced Phase Transitions