Acta Optica Sinica, Volume. 20, Issue 10, 1317(2000)
Eigenstates of the Higher Powers of Annihilation Operator of a Non-Harmonic Oscillator and Their Higher-Order Squeezing
The eigenstates of the Nth powers (N≥3) of the annihilation operator of the non-harmonic oscillator are constructed, and their mathematical and higher-order squeezing properties are studied. The results show that they form a complete Hilbert space, and the Mth power [M=(n+1/2)N; n=0, 1, 2, …] squeezing effects exist in all eigenstates when N is even.
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[in Chinese], [in Chinese], [in Chinese]. Eigenstates of the Higher Powers of Annihilation Operator of a Non-Harmonic Oscillator and Their Higher-Order Squeezing[J]. Acta Optica Sinica, 2000, 20(10): 1317