Anomalous universal adiabatic dynamics: The case of the Fredkin model

Abstract

When a system is driven across a second-order quantum phase transition, the number of defects which are produced scales with the speed of the variation of the tuning parameter according to a universal law described by the Kibble-Zurek mechanism. We study a possible breakdown of this prediction proving that the number of defects can exhibit another universal scaling law which is still related only to the critical exponents $z$ and $\nu$, but differs from the Kibble-Zurek result. Finally we provide an example, the deformed Fredkin spin chain, where this violation of the standard adiabatic dynamics can occur.

arXiv comment5 pages, 5 figures

References in corpus (15)

• The density-matrix renormalization group in the age of matrix product states
• Nonequilibrium dynamics of closed interacting quantum systems
• Dynamics of a Quantum Phase Transition
• Dynamics of quantum phase transition: exact solution in quantum Ising model
• Universal adiabatic dynamics across a quantum critical point
• Universality of Phase Transition Dynamics: Topological Defects from Symmetry Breaking
• Anti-Kibble-Zurek Behavior in Crossing the Quantum Critical Point of a Thermally Isolated System Driven by a Noisy Control Field
• Universal breakdown of Kibble-Zurek scaling in fast quenches across a phase transition
• Effective three-body interactions in triangular optical lattices
• Deformed Fredkin Spin Chain with Extensive Entanglement
• Violation of Cluster Decomposition and Absence of Light-Cones in Local Integer and Half-Integer Spin Chains
• Gapless quantum spin chains: multiple dynamics and conformal wavefunctions
• Non-equilibrium quantum relaxation across a localization-delocalization transition
• Universal dynamical scaling of long-range topological superconductors
• Correlations, long-range entanglement and dynamics in long-range Kitaev chains