1999/11/30 by Nicola Manini, Fabio Pistolesi, F. Pistolesi · 1 citation
Mathematics · Physics and Astronomy · #Adiabatic process #Adiabatic theorem #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Diagonal #Eigenvalues and eigenvectors #Geometric phase #Geometry #Hamiltonian (control theory) #Mathematics #Physics #Quantum Mechanics and Non-Hermitian Physics #Quantum mechanics #Quantum, superfluid, helium dynamics #Statistical physics #Theoretical physics #cond-mat #quant-ph
paper · pdf · doi:10.1103/physrevlett.85.3067
published as Phys. Rev. Lett. 85, 3067 (2000) · 5 pages 2 figures - RevTeX. Revised version including geometrical interpretation
arxiv created 2000/07/04 · openalex publication_date 2000/10/09 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate the adiabatic evolution of a set of nondegenerate eigenstates of a parametrized Hamiltonian. Their relative phase change can be related to geometric measurable quantities that extend the familiar concept of Berry phase to the evolution of more than one state. We present several physical systems where these concepts can be applied, including an experiment on microwave cavities for which off-diagonal phases can be determined from published data.