Algebraic Coherent States and Squeezing

1996/08/30 by D. A. Trifonov, Trifonov, D. A.
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Laser-Matter Interactions and Applications #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #Quantum optics and atomic interactions

paper · pdf · doi:10.48550/arxiv.quant-ph/9609001

openalex publication_date 1996/08/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Eigenstates of general complex linear combination of SU(1,1) generators (su^c(1,1) algebraic coherent states (ACS)) are constructed and discussed. In case of quadratic boson representation ACS can exhibit strong both linear and quadratic amplitude squeezing. ACS for a given Lie group algebra contain the corresponding Perelomov CS with maximal symmetry.

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