Scaling in driven dynamics starting in the vicinity of a quantum critical point

Abstract

We study the driven critical dynamics with an equilibrium initial state near a quantum critical point. In contrast to the original Kibble-Zurek mechanism, which describes the driven dynamics starting from an adiabatic stage that is far from the critical point, the initial adiabacity is broken in this scenario. As a result, the scaling behavior cannot be described by the original Kibble-Zurek scaling. In this work we propose a scaling theory, which includes the initial parameters as additional scaling variables, to characterize the scaling behavior. In particular, this scaling theory can be used to describe the driven scaling behavior starting from a finite-temperature equilibrium state near a quantum critical point. We numerically confirm the scaling theory by simulating the real-time dynamics of the one-dimensional quantum Ising model at both zero and finite temperatures.

arXiv comment6 pages, 5 figures

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Cited by in corpus (10)

• Kibble-Zurek scaling in the Yang-Lee edge singularity
• Hybridized Kibble-Zurek scaling in the driven critical dynamics across an overlapping critical region
• Kibble-Zurek scaling of the one-dimensional Bose-Hubbard model at finite temperatures
• Dynamical relaxation behaviors of a critical quench
• Nonequilibrium critical dynamics in the quantum chiral clock model
• Finite-time scaling beyond the Kibble-Zurek prerequisite in Dirac systems
• Kibble-Zurek scaling due to environment temperature quench in the transverse field Ising model
• Relaxation dynamics in the alternating XY chain following a quantum quench
• Finite-time scaling with two characteristic time scales: Driven critical dynamics with emergent symmetry
• Anomalous Dynamical Scaling at Topological Quantum Criticality