Quantum Optics by GIRISH S. AGARWAL

Author:GIRISH S. AGARWAL
Language: eng
Format: epub
Publisher: CAMBRIDGE UNIVERSITY PRESS

shows that

if

For λ = ± 1, the variances in A and B are equal. The solution of (11.61) for λ = ± 1 defines coherent states, whereas the solution for |λ| ≠ 1 defines squeezed states [11]. Let us first consider the eigenvalue problem for λ = −1

Clearly if we choose A = Jx, B = Jy, then the only solution for |ψ is |ψ = |j, – j. We will now show how the whole class of minimum uncertainty states can be obtained for λ = −1. We consider the operators obtained by rotating Jx and Jy by D(ξ), with D(ξ) defined by (11.48)

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