Exotic quantum holonomy and higher-order exceptional points in quantum kicked tops.
The correspondence between exotic quantum holonomy, which occurs in families of Hermitian cycles, and exceptional points (EPs) for non-Hermitian quantum theory is examined in quantum kicked tops. Under a suitable condition, an explicit expression of the adiabatic parameter dependencies of quasienergies and stationary states, which exhibit anholonomies, is obtained. It is also shown that the quantum kicked tops with the complexified adiabatic parameter have a higher-order EP, which is broken into lower-order EPs with the application of small perturbations. The stability of exotic holonomy against such bifurcation is demonstrated.
Department of Physics, Tokyo Metropolitan University, Hachioji, Tokyo 192-0397, Japan.
Atushi
A
Tanaka
Department of Physics Education, Pusan National University, Busan 609-735, South Korea.
Sang Wook
SW
Kim
Laboratory of Physics, Kochi University of Technology, Tosa Yamada, Kochi 782-8502, Japan.
Taksu
T
Cheon
D000465:Algorithms; D003198:Computer Simulation; D008956:Models, Chemical; D011789:Quantum Theory