Algebraic approach to the Tavis-Cummings problem

作者:Vadeiko IP*; Miroshnichenko GP; Rybin **; Timonen J
来源:Physical Review A, 2003, 67(5): 053808.
DOI:10.1103/PhysRevA.67.053808

摘要

An algebraic method is introduced for an analytical solution of the eigenvalue problem of the Tavis-Cummings Hamiltonian, based on polynomially deformed su(2), i.e., su(n)(2) algebras. In this method the eigenvalue problem is solved in terms of a specific perturbation theory, developed here up to third order. Generalization to the N-atom case of the Rabi frequency and dressed states is also provided. A remarkable enhancement of spontaneous emission of N atoms in a resonator is found to result from collective effects.

  • 出版日期2003-5