Large Deviations Beyond the Kibble-Zurek Mechanism
arXiv:2307.02524 · doi:10.1103/PhysRevLett.131.230401
Abstract
The Kibble-Zurek mechanism (KZM) predicts that the average number of topological defects generated upon crossing a continuous or quantum phase transition obeys a universal scaling law with the quench time. Fluctuations in the defect number near equilibrium are approximately of Gaussian form, in agreement with the central limit theorem. Using large deviations theory, we characterize the universality of fluctuations beyond the KZM and report the exact form of the rate function in the transverse-field quantum Ising model. In addition, we characterize the scaling of large deviations in an arbitrary continuous phase transition, building on recent evidence establishing the universality of the defect number distribution.
6+6 pages, 1+2 figures
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- Kibble-Zurek scaling of the superfluid-supersolid transition in an elongated dipolar gas
- Statistics of topological defects across a phase transition in a digital superconducting quantum processor
- Nonequilibrium Critical Dynamics with Emergent Supersymmetry
- Universal work statistics in long-range interacting quantum systems
- Separation of the Kibble-Zurek Mechanism from Quantum Criticality
- Universal Quench Dynamics of an Open Quantum System
- Kibble-Zurek Mechanism and Beyond: Lessons from a Holographic Superfluid Disk
- Dissipation-Induced Deviations from Kibble-Zurek Scaling in Non-Hermitian Quantum Annealing
- Anomalous Dynamical Scaling at Topological Quantum Criticality
- Dynamical Phase Transitions in Periodically Driving 1D Ising Model