https://doi.org/10.1140/epjp/s13360-021-01974-z
Regular Article
Quantum phase transition with non-Markovianity of XY model under three-spin interaction and quantum speed limit time of a centrally interacting spin qubit
COMSATS University Islamabad, Park Road, Tarlai Kalan, 45550, Islamabad, Pakistan
Received:
27
February
2021
Accepted:
19
September
2021
Published online:
5
October
2021
The behaviors of quantum speed limit (QSL) time of a central spin qubit and non-Markovianity of interacting driven Heisenberg spin chain with three-spin interaction are studied. We examine the potentiality of the two quantities in detecting quantum phase transitions (QPTs) at absolute zero temperature and show that the measure of non-Markovianity performs better than QSL time in locating quantum critical point. We show that the second derivative of QSL time and first derivative of non-Markovianity with respect to driving parameters diverge at the critical points. The maximum values of the derivatives at the critical points show linear logarithmic scaling behavior against the size of the spin chain. We also find that a spin liquid phase of the environment might be better for quantum computation purposes than its spin saturated phase.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021
