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Adiabatic dynamics of quasiperiodic transverse Ising model
B.S. Revathy,
Published in Institute of Physics Publishing
Volume: 2020
Issue: 2
We study the non-equilibrium dynamics caused by slowly taking a quasiperiodic Hamiltonian across its quantum critical point. The special quasiperiodic Hamiltonian that we study here has two different types of critical lines belonging to two different universality classes, one of them being the well known quantum Ising universality class. In this paper, we verify the Kibble Zurek scaling which predicts a power law scaling of the density of defects generated as a function of the rate of variation of the Hamiltonian. The exponent of this power law is related to the equilibrium critical exponents associated with the critical point crossed. We show that the power-law behavior is indeed obeyed when the two types of critical lines are crossed, with the exponents that are correctly predicted by Kibble Zurek scaling. © 2020 IOP Publishing Ltd and SISSA Medialab srl.
About the journal
JournalJournal of Statistical Mechanics: Theory and Experiment
PublisherInstitute of Physics Publishing
Open AccessNo