English

The Kerr medium as an {\sf SU(2)} system

Quantum Physics 2015-08-06 v1

Abstract

The Kerr medium in the presence of damping and associated with SU(1,1) symmetry, is solved using the techniques of Thermo field Dynamics (TFD).These TFD techniques, well studied earlier (Chaturvedi and Srinivasan, 1991), help us to exactly solve the Kerr medium as a spin damped system associated with SU(2) symmetry. Using TFD, the association with SU(2) is exploited to express the dynamics of the system as a Schrodinger-like equation, whose solution is obtained using the appropriate disentanglement theorem. These considerations are extended to a system with multi-mode coupled nonlinear oscillators."

Cite

@article{arxiv.1210.8240,
  title  = {The Kerr medium as an {\sf SU(2)} system},
  author = {K. V. S. Shiv Chaitanya and Prasanta K. Panigrahi and V. Srinivasan and A. S. Vytheeswaran},
  journal= {arXiv preprint arXiv:1210.8240},
  year   = {2015}
}

Comments

11pages

R2 v1 2026-06-21T22:30:35.289Z