The Berry phase subject to \(q\)-deformed magnetic field

DOI10.1007/s11128-012-0420-9zbMath1264.81229OpenAlexW2070728267MaRDI QIDQ1952591

Gangcheng Wang, Kang Xue, Guijiao Du, Chunfeng Wu

Publication date: 31 May 2013

Published in: Quantum Information Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11128-012-0420-9

zbMATH Keywords

spin systemBerry phase\(q\)-deformed Lie-algebra

Mathematics Subject Classification ID

Groups and algebras in quantum theory and relations with integrable systems (81R12) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

Cites Work

• Adiabatic Berry phase in an atom-molecule conversion system
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
• Quantum R matrix for the generalized Toda system
• On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)_q
• The q-deformed boson realisation of the quantum group SU(n)_qand its representations
• Quantal phase factors accompanying adiabatic changes
• Some realization of the quantum algebra U_q(su(2))
• q-DEFORMATIONS OF QUANTUM SPIN CHAINS WITH EXACT VALENCE-BOND GROUND STATES