Eigenvalue and eigenspace anholonomies in hierarchical systems
Quantum Physics
2011-09-23 v2 Disordered Systems and Neural Networks
Mathematical Physics
math.MP
Abstract
An adiabatic cycle of parameters in a quantum system can yield the quantum anholonomies, nontrivial evolution not just in phase of the states, but also in eigenvalues and eigenstates. Such exotic anholonomies imply that an adiabatic cycle rearranges eigenstates even without spectral degeneracy. We show that an arbitrarily large quantum circuit generated by recursive extension can also exhibit the eigenvalue and eigenspace anholonomies.
Keywords
Cite
@article{arxiv.1106.4067,
title = {Eigenvalue and eigenspace anholonomies in hierarchical systems},
author = {Atushi Tanaka and Sang Wook Kim and Taksu Cheon},
journal= {arXiv preprint arXiv:1106.4067},
year = {2011}
}
Comments
5 pages, 3 figures