Exotic quantum holonomy in Hamiltonian systems

DOI10.1016/j.physleta.2009.10.064zbMath1235.81088arXiv0909.2033OpenAlexW1971343441MaRDI QIDQ763793

Taksu Cheon, Atushi Tanaka, Sang-Wook Kim

Publication date: 2 April 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.2033

zbMATH Keywords

geometric phaseadiabatic quantum controlnon-Abelian gauge potential

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Quantum optics (81V80) Perturbation theories for operators and differential equations in quantum theory (81Q15) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Quantum control (81Q93)

Related Items (3)

Bloch vector, disclination and exotic quantum holonomy ⋮ Topological adiabatic dynamics in classical mass-spring chains with clamps ⋮ Exotic quantum holonomy induced by degeneracy hidden in complex parameter space

Cites Work

• Unnamed Item
• Nodal free geometric phases: concept and application to geometric quantum computation
• Off-diagonal quantum holonomy along density operators
• A unified theory of quantum holonomies
• Holonomic quantum computation
• Möbius structure of the spectral space of Schrödinger operators with point interaction
• Noncyclic geometric phase and its non-Abelian generalization

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