A symmetry approach to geometric phase for quantum ensembles

DOI10.1088/1751-8113/48/48/485302zbMath1329.81247arXiv1411.0635OpenAlexW2211805176MaRDI QIDQ3458738

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Publication date: 21 December 2015

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.0635

zbMATH Keywords

open quantum systemsgeometric phasemixed quantum states

Mathematics Subject Classification ID

Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Open systems, reduced dynamics, master equations, decoherence (81S22)

Cites Work

• A gauge field governing parallel transport along mixed states
• Parallel transport and ``quantum holonomy along density operators
• Mixed state holonomies
• Geometric phases in classical and quantum mechanics
• Quantal phase factors accompanying adiabatic changes
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