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/lp/american-physical-society-aps/orthonormalized-eigenstates-of-the-quantum-operator-a-k-and-their-JATSDp50Pi
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- Publisher
- American Physical Society (APS)
- Copyright
- Copyright © 1995 The American Physical Society
- ISSN
- 1094-1622
- DOI
- 10.1103/PhysRevA.51.4929
- Publisher site
- See Article on Publisher Site
Abstract
A method for construction of the k orthonormalized quantum eigenstates of the higher powers a k of the quantum-annihilation operator a is proposed, and their physical meaning is explored. Nonclassical properties of these quantum eigenstates are studied and the main results are as follows: (1) All of the eigenstates can be expressed as a linear superposition of k quantum-coherent states; (2) all of them are generalized quantum-coherent states; (3) for k ≥3, they have the N th-order quantum squeezing for N = mk + k /2 ( m =0,1,2, . . .) and even k , but no N th-order quantum squeezing for other values of N and k ; (4) for k ≥3, all of them exhibit the lowest- and higher-order quantum antibunching.
Journal
Physical Review A – American Physical Society (APS)
Published: Jun 1, 1995