Formal exact solution for the Heisenberg spin system in a time-dependent magnetic field and Aharonov-Anandan phase.

DOI10.1016/S0375-9601(98)00832-9zbMath1044.82525OpenAlexW2017980441MaRDI QIDQ1967078

Bozang Li, Linguang Yang, Feng-Li Yan

Publication date: 8 March 2000

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

Full work available at URL: https://doi.org/10.1016/s0375-9601(98)00832-9

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (6)

A geometric approach to time evolution operators of Lie quantum systems ⋮ Invariant Hermitian operator and geometric phase for the Heisenberg spin system in a time-dependent magnetic field ⋮ On the dynamical invariants and the geometric phases for a general spin system in a changing magnetic field ⋮ A map between time-dependent and time-independent quantum many-body Hamiltonians ⋮ The area theorem of the Berry phase for the time-dependent externally driven system ⋮ Berry phase for many-spin system with the uniaxial anisotropic exchange interaction in a time-dependent magnetic field

Cites Work

• Quantal phase factors accompanying adiabatic changes
• Exact Quantization Conditions. II
• Unnamed Item

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