Geometric phases for generalized squeezed coherent states

1997/02/01 by S. Seshadri, Satyanarayanan Seshadri, S. Lakshmibala +1 · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Classical mechanics #Coherent states #Eigenvalues and eigenvectors #Formalism (music) #Geometric phase #Hamiltonian (control theory) #Mathematical physics #Mathematics #Mechanical and Optical Resonators #Physics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Non-Hermitian Physics #Quantum mechanics #quant-ph

paper · pdf · doi:10.1103/physreva.55.869

published as Phys.Rev.A55:869-875,1997 · 15 pages

openalex publication_date 1997/02/01 · arxiv created 1999/05/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

A simple technique is used to obtain a general formula for the Berry phase (and the corresponding Hannay angle) for an arbitrary Hamiltonian with an equally spaced spectrum and appropriate ladder operators connecting the eigenstates. The formalism is first applied to a general deformation of the oscillator involving both squeezing and displacement. Earlier results are shown to emerge as special cases. The analysis is then extended to multiphoton squeezed coherent states and the corresponding anholonomies deduced.

Citations

• Berry’s phase in the degenerate parametric amplifier
• Angle variable holonomy in adiabatic excursion of an integrable Hamiltonian
• Appearance of Gauge Structure in Simple Dynamical Systems
• Quantized Hall Conductance in a Two-Dimensional Periodic Potential
• Quantal phase factors accompanying adiabatic changes
• Supersymmetry and Quantum Mechanics

Cited by

• Aspects of coherent states of nonlinear algebras
• Berry and Pancharatnam topological phases of atomic and optical systems