Invariant Hermitian operator and geometric phase for the Heisenberg spin system in a time-dependent magnetic field

DOI10.1016/S0375-9601(99)00423-5zbMath0940.82057OpenAlexW1988037227WikidataQ127015277 ScholiaQ127015277MaRDI QIDQ1966914

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(99)00423-5

zbMATH Keywords

Schrödinger equationgeometric phaseHeisenberg spin systeminvariant Hermitian operator

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) General quantum mechanics and problems of quantization (81S99) Statistical mechanics of magnetic materials (82D40)

Related Items (6)

On the entanglement and engineering phase gates without dynamical phases for a two-qubit system with Dzyaloshinski-Moriya interaction in 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 ⋮ TIME-DEPENDENT WIGNER DISTRIBUTION FUNCTION EMPLOYED IN SQUEEZED SCHRÖDINGER CAT STATES: |Ψ(t)〉 = N^-1/2(|β〉+e^iϕ|-β〉) ⋮ Berry phase for many-spin system with the uniaxial anisotropic exchange interaction in a time-dependent magnetic field

Cites Work

• Unnamed Item
• Formal exact solution for the Heisenberg spin system in a time-dependent magnetic field and Aharonov-Anandan phase.
• Quantal phase factors accompanying adiabatic changes
• Exact Quantization Conditions. II
• Class of Exact Invariants for Classical and Quantum Time-Dependent Harmonic Oscillators

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