| Budget Amount *help |
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2011: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2010: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2009: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
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| Research Abstract |
The exotic quantum holonomy refers to the anholonomy of quantum states other than that of the quantum phases. It involves the exchange of eigenstates after the cyclic variation of system parameters. We have created a gauge theoretical formulation that describes both the exotic and conventional quantum holonomy, the Berry phase, in a unified fashion. It has enabled the discovery of exceptional points located at the complexified parameter value which act as branching points of the eigenenergies, and cause the exotic anholonomy along the real axis of the parameter space. It has also helped us systematically construct quantum systems with exotic anholonomy among multi-level eigenstates. In a system of a particle on Aharonov-Bohm ring, the exotic quantum holonomy has been shown to exist for non-adiabatic cyclic variation of the strength of the magnetic field.
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