Nonequilibrium Dynamic Critical Scaling of the Quantum Ising Chain

2011/12/31 by Michael Kolodrubetz, Bryan K. Clark, David A. Huse · 6 citations
Physics and Astronomy · #Boson #Cold Atom Physics and Bose-Einstein Condensates #Critical exponent #Critical point (mathematics) #Ising model #Non-equilibrium thermodynamics #Observable #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum critical point #Quantum many-body systems #Quantum mechanics #Quantum phase transition #Renormalization group #Scaling #Statistical physics #Universality (dynamical systems) #cond-mat.other #cond-mat.stat-mech

paper · pdf · doi:10.1103/physrevlett.109.015701

published as Phys. Rev. Lett. 109, 015701 (2012) · 4 pages + 2 page supplement

openalex publication_date 2012/07/02 · arxiv created 2012/07/07 · arxiv updated 2012/07/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

We solve for the time-dependent finite-size scaling functions of the one-dimensional transverse-field Ising chain during a linear-in-time ramp of the field through the quantum critical point. We then simulate Mott-insulating bosons in a tilted potential, an experimentally studied system in the same equilibrium universality class, and demonstrate that universality holds for the dynamics as well. We find qualitatively athermal features of the scaling functions, such as negative spin correlations, and we show that they should be robustly observable within present cold atom experiments.

Citations

• Quench dynamics near a quantum critical point
• Mott insulators in strong electric fields
• Nonequilibrium dynamics of bosonic Mott insulators in an electric field
• Entropy of entanglement and correlations induced by a quench: Dynamics of a quantum phase transition in the quantum Ising model
• Entropy and correlation functions of a driven quantum spin chain
• Quench dynamics across quantum critical points
• Topology of cosmic domains and strings

Cited by

• Quantum Quench in an Atomic One-Dimensional Ising Chain
• Quantum quench and scaling of entanglement entropy
• Probing the Dynamics of a Superradiant Quantum Phase Transition with a Single Trapped Ion
• Nonequilibrium critical dynamics in the quantum chiral clock model
• Universal Postquench Prethermalization at a Quantum Critical Point
• Dissipation-Induced Deviations from Kibble-Zurek Scaling in Non-Hermitian Quantum Annealing