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从一般形式上构造了有限维希尔伯特(Hilbert)空间q-畸变谐振子的偶相干态,并讨论了其量子统计特性。发现有限维希尔伯特空间的偶q-相干态与通常无限维空间的偶q-相干态或偶相干态有明显不同的压缩和反聚束特性。前者的偶q-相干态不仅出现正交压缩,而且出现反聚束效应。
From the general form, the even-phase coherent states of a q-deformed harmonic oscillator in a finite-dimensional Hilbert space are constructed and its quantum statistical properties are discussed. It is found that even q-coherence states in finite-dimensional Hilbert spaces have significantly different compression and anti-bunching properties than even q-coherent states or even coherent states in an infinite infinite-dimensional space. The former even q-coherent states not only appear orthogonal compression, but also appear anti-bunching effect.