Exotic quantum holonomy and higher-order exceptional points in quantum kicked tops
arXiv:1402.1634 · doi:10.1103/PhysRevE.89.042904
Abstract
The correspondence between exotic quantum holonomy that 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 expressions of the adiabatic parameter dependencies of quasienergies and stationary states, which exhibit anholonomies, are 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.
9 pages, 6 figures. Improved explanations and added references (v2). Fixed typo (v3)
References in corpus (9)
- Environment-Assisted Quantum Walks in Photosynthetic Energy Transfer
- A non-Hermitian symmetric Bose-Hubbard model: eigenvalue rings from unfolding higher-order exceptional points
- Rectified momentum transport for a kicked Bose-Einstein Condensate
- Chirality of wave functions for three coalescing levels
- Chaos, entanglement and decoherence in the quantum kicked top
- Quasienergy anholonomy and its application to adiabatic quantum state manipulation
- Quantum holonomy in Lieb-Liniger model
- Cheon's anholonomies in Floquet operators
- Exotic quantum holonomy and non-Hermitian degeneracies in two-body Lieb-Liniger model