Non-Adiabatic Transformation of a Spin-Chain Geometry via Local Control
P.V. Pyshkina, E.Ya. Shermanb, c, Lian-Ao Wuc, d
aInstitute for Solid State Physics and Optics, Wigner Research Centre, Hungarian Academy of Sciences, P.O. Box 49, H-1525 Budapest, Hungary
bDepartment of Physical Chemistry, The University of the Basque Country UPV/EHU, 48080 Bilbao, Spain
cIKERBASQUE, Basque Foundation for Science, 48011 Bilbao, Spain
dDepartment of Theoretical Physics and History of Science, The University of the Basque Country UPV/EHU, 48080 Bilbao, Spain
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We consider transformation from a closed to an open spin chain and vice versa produced by changing single link strength in a pair of neighboring spins. We show that in the non-adiabatic time domain fidelity of such a process can be increased by proper choosing of the control function for spin-spin exchange coupling. We obtain this function for an antiferromagnetic quantum Ising chain and present heuristic reasons restricting possible time-dependences of Hamiltonians applied for a high-fidelity control.

DOI:10.12693/APhysPolA.135.1198
topics: quantum control, spin chains, adiabatic processes