Acta Optica Sinica, Volume. 17, Issue 12, 1642(1997)
The Eigenstates of High Power of Parametrization Boson Annihilation Operator and Their Quantum Fluctuation Law
By using a new parametrization way, =(q y-1)/(q-1), the q Boson annihilation operator was defined, and a new q coherent state was constructed. The system Hamiltonian that can produce and maintain the q coherent state was found. We studied the mathematical construction and the quantum fluctuation characteristic of the orthonormalization eigenstates of a q k (k≥1). It is found that the only even q coherent states have usual squeezing effect, and when the parameter q<1, the quantum fluctuation of both quadrature components of the field for each state may be simultaneouly smaller than the minimum uncertainly value (1/4) of the coherent state. These eigenstates have q squeezing.
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[in Chinese], [in Chinese], [in Chinese], [in Chinese]. The Eigenstates of High Power of Parametrization Boson Annihilation Operator and Their Quantum Fluctuation Law[J]. Acta Optica Sinica, 1997, 17(12): 1642