Activating critical exponent spectra with a slow drive

Abstract

We uncover an aspect of the Kibble--Zurek phenomenology, according to which the spectrum of critical exponents of a classical or quantum phase transition is revealed, by driving the system slowly in directions parallel to the phase boundary. This result is obtained in a renormalization group formulation of the Kibble--Zurek scenario, and based on a connection between the breaking of adiabaticity and the exiting of the critical domain via new relevant directions induced by the slow drive. The mechanism does not require fine tuning, in the sense that scaling originating from irrelevant operators is observable in an extensive regime of drive parameters. Therefore, it should be observable in quantum simulators or dynamically tunable condensed-matter platforms.

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• Universality in driven open quantum matter
• Sonic horizons and causality in the phase transition dynamics
• Kibble-Zurek Dynamics in a Trapped Ultracold Bose Gas
• Kibble-Zurek mechanism in the Ising Field Theory
• Quantum Kibble-Zurek mechanism: Kink correlations after a quench in the quantum Ising chain
• Coherent Many-Body Oscillations Induced by a Superposition of Broken Symmetry States in the Wake of a Quantum Phase Transition
• Tensor network simulation of the quantum Kibble-Zurek quench from the Mott to superfluid phase in the two-dimensional Bose-Hubbard model
• Kink correlations, domain size distribution, and the emptiness formation probability after the Kibble-Zurek quench in the quantum Ising chain
• Inhomogeneity induced shortcut to adiabaticity in Ising chains with long-range interactions
• Self-similarity breaking: Anomalous nonequilibrium finite-size scaling and finite-time scaling
• Tricritical Kibble-Zurek scaling in Rydberg atom ladders
• Slow quench dynamics in classical systems: kinetic Ising model and zero-range process
• Dynamic renormalization group theory for open Floquet systems
• Kibble-Zurek mechanism from different angles: The transverse XY model and subleading scalings
• Biased dynamics of the miscible-immiscible quantum phase transition in a binary Bose-Einstein condensate
• Inhomogeneous adiabatic preparation of a quantum critical ground state in two dimensions
• Theory of Critical Phenomena with Memory
• Theory of Critical Phenomena with Long-Range Temporal Interaction
• Continuous Dimer Angles on the Silicon Surface: Critical Properties and the Kibble-Zurek Mechanism
• Is there Kibble-Zurek scaling of topological defects in first-order phase transitions?
• Persistent oscillation of a Cooper-pair condensate of topological defects in a nonintegrable quantum Ising chain