Quantum speed limit time, non-Markovianity and quantum phase transition in extended [formula omitted] spin chain with Dzyaloshinsky–Moriya interaction

Abstract

The effects of Dzyaloshinsky–Moriya (DM) interaction on quantum speed limit time (QSLT) of a single qubit and non-Markovianity of a coupled driven extended XY spin chain are investigated. The known quantum critical points of the model are left unaffected when DM interaction points in the direction of applied field. Anti-parallel DM interaction to the magnetic field leads to a new critical point of the model whose position is a function of the strength of the three-site interaction. Overall, the dynamics of the two quantities varies differently in a given phase of the model from point to point in the parameter space. Our findings also show that the anti-parallel DM interaction results in fast quantum evolution which might be beneficial for certain quantum computation purposes.