Higher-order squeezing of orthonormatized eigenstates of the annihilation operator ak for k>3

Jinzuo Sun; Jisuo Wang; Chuankui Wang

doi:10.1117/12.130406

28 October 1992 Higher-order squeezing of orthonormatized eigenstates of the annihilation operator a^k for k≥3

Jinzuo Sun, Jisuo Wang, Chuankui Wang

Proceedings Volume 1726, 1992 Shanghai International Symposium on Quantum Optics; (1992) https://doi.org/10.1117/12.130406
Event: 1992 Shanghai International Symposium on Quantum Optics, 1992, Shanghai, China

Abstract

According to the higher-order squeezing defined by Zhang et al., the properties of higher- order squeezing of the orthonormalized eigenstates of the higher powers a^k (k>= 3) of the annihilation operator a are studied. Our results show that all of them are minimum uncertainty states of the operators Z₁(N) and Z₂(N) (N equals mk, m equals 1, 2, ...) for even and odd k, and all of them have the Nth-order squeezing [N equals (m + 1/2)k, m equals 0, 1, 2, ...] for even k.

Citation Download Citation

Jinzuo Sun, Jisuo Wang, and Chuankui Wang "Higher-order squeezing of orthonormatized eigenstates of the annihilation operator a^k for k≥3", Proc. SPIE 1726, 1992 Shanghai International Symposium on Quantum Optics, (28 October 1992); https://doi.org/10.1117/12.130406

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