Exotic quantum holonomy induced by degeneracy hidden in complex parameter space Export

@article{citeulike:4091435, abstract = {An adiabatic change of a bound state along a closed circuit in the parameter space can induces holonomies not only in the phase of the state, but also in the associated eigenspace and eigenvalue. The former is the well-known Berry phase while the latter, namely the exotic holonomy, is found a decade ago and its origin has not been understood yet. By extending the parameter into the complex number, the correspondence of the exotic holonomies and the degeneracy of the non-Hermitian Hamiltonian, or the exceptional points, is revealed. We show that this explains all the known non-trivial characteristics of the exotic holonomies.}, archivePrefix = {arXiv}, author = {Kim, Sang W. and Cheon, Taksu and Tanaka, Atushi}, citeulike-article-id = {4091435}, citeulike-linkout-0 = {http://arxiv.org/abs/0902.3315}, citeulike-linkout-1 = {http://arxiv.org/pdf/0902.3315}, day = {19}, eprint = {0902.3315}, keywords = {exceptional-point, exotic-holonomy, gauge-theory}, month = {Feb}, posted-at = {2009-06-16 08:34:16}, priority = {0}, title = {Exotic quantum holonomy induced by degeneracy hidden in complex parameter space}, url = {http://arxiv.org/abs/0902.3315}, year = {2009} }

TY - JOUR ID - citeulike:4091435 L3 - citeulike-article-id:4091435 N2 - An adiabatic change of a bound state along a closed circuit in the parameter space can induces holonomies not only in the phase of the state, but also in the associated eigenspace and eigenvalue. The former is the well-known Berry phase while the latter, namely the exotic holonomy, is found a decade ago and its origin has not been understood yet. By extending the parameter into the complex number, the correspondence of the exotic holonomies and the degeneracy of the non-Hermitian Hamiltonian, or the exceptional points, is revealed. We show that this explains all the known non-trivial characteristics of the exotic holonomies. TI - Exotic quantum holonomy induced by degeneracy hidden in complex parameter space KW - exceptional-point KW - exotic-holonomy KW - gauge-theory AU - Kim, Sang AU - Cheon, Taksu AU - Tanaka, Atushi PY - 2009/Feb/19/ UR - http://arxiv.org/abs/0902.3315 ER -