Coherent States of Non-Linear Algebras:Application to Quantum Optics

Details Coherent States of Non-Linear Algebras:Application to Quantum Optics Coherent States of Non-Linear Algebras:Application to Quantum Optics

2000-03-24

arxiv.org/abs/quant-ph/0003115v1

Physics

Quantum Physics

14 pages, Latex. This is a thoroughly revised version of our earlier paper quant-ph/9905010, which is much more comprehensive.

Scientific paper

We present a general unified approach for finding the coherent states of polynomially deformed algebras such as the quadratic and Higgs algebras, which are relevant for various multiphoton processes in quantum optics. We give a general procedure to map these deformed algebras to appropriate Lie algebras. This is used, for the non compact cases, to obtain the annihilation operator coherent states, by finding the canonical conjugates of these operators. Generalized coherent states, in the Perelomov sense also follow from this construction. This allows us to explicitly construct coherent states associated with various quantum optical systems.

Affiliated with

Also associated with

No associations

Rating

Coherent States of Non-Linear Algebras:Application to Quantum Optics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Coherent States of Non-Linear Algebras:Application to Quantum Optics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Coherent States of Non-Linear Algebras:Application to Quantum Optics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-370665