| Issue |
EPL
Volume 85, Number 6, March 2009
|
|
|---|---|---|
| Article Number | 60001 | |
| Number of page(s) | 5 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/85/60001 | |
| Published online | 11 March 2009 | |
New n-mode squeezing operator and squeezed states with standard squeezing
1
College of Physics & Communication Electronics, Jiangxi Normal University - Nanchang 330022, China
2
Department of Physics, Shanghai Jiao Tong University - Shanghai 200030, China
Corresponding authors: hlyun2008@126.com hlyun@sjtu.edu.cn.
Received:
10
February
2009
Accepted:
24
February
2009
We find that the exponential operator ![$V\equiv {\rm exp}[{\tt i}\lambda (Q_{1}P_{2}+Q_{2}P_{3}+\cdot \cdot \cdot +Q_{n-1}P_{n}+Q_{n}P_{1})]$](/articles/epl/abs/2009/06/epl11686/epl11686_tex_eq1.png)
, Qi, Pi are, respectively, the coordinate and momentum operators, is an n-mode squeezing operator which engenders standard squeezing. By virtue of the technique of integration within an ordered product of operators we derive V's normally ordered expansion and obtain the n-mode squeezed vacuum states, its Wigner function is calculated by using the Weyl ordering invariance under similar transformations.
PACS: 03.65.-w – Quantum mechanics / 42.50.-p – Quantum optics
© EPLA, 2009
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