Geometric phases in quantum control disturbed by classical stochastic processes
DOI10.1063/1.4746696zbMath1278.81102arXiv1208.0143OpenAlexW3099788716MaRDI QIDQ2872230
Publication date: 14 January 2014
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1208.0143
Unified quantum theories (81V22) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) Adiabatic invariants for problems in Hamiltonian and Lagrangian mechanics (70H11) Time-dependent Schrödinger equations and Dirac equations (35Q41) Quantum control (81Q93)
Cites Work
- A geometric analysis of the effects of noise on Berry phase
- Classical and quantum mechanics with time-dependent parameters
- Geometric phase subject to stochastic noise
- Principal bundle structure of quantum adiabatic dynamics with a Berry phase which does not commute with the dynamical phase
- Quantal phase factors accompanying adiabatic changes
- On the adiabatic theorem of quantum mechanics
- Holonomy of a principal composite bundle connection, non-Abelian geometric phases, and gauge theory of gravity
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