Geometric phase in a generalized Jaynes-Cummings model with double mode operators and phase operators

DOI10.1007/S10773-009-0229-1zbMath1187.81148OpenAlexW2054369693MaRDI QIDQ965791

Zhi-Yong Jiao, Zhao-Xian Yu

Publication date: 26 April 2010

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-009-0229-1

zbMATH Keywords

geometric phasegeneralized Jaynes-Cummings model

Mathematics Subject Classification ID

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

Cites Work

• Parallel transport and ``quantum holonomy along density operators
• Quantum kinematic approach to the geometric phase. I: General formalism
• A NEW GENERALIZED JAYNES–CUMMINGS MODEL BASED ON TWO-MODE PHOTON NUMBER-DIFFERENCE AND OPERATIONAL PHASE
• High-order quantum adiabatic approximation and Berry's phase factor
• Quantal phase factors accompanying adiabatic changes
• Time evolution of the number-operational phase entangled state in a number-phase entangled Jaynes–Cummings model
• Lie Algebraic Solution of Linear Differential Equations

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