Volume 85, Number 6, March 2009
Article Number 60001
Number of page(s) 5
Section General
Published online 11 March 2009
EPL, 85 (2009) 60001
DOI: 10.1209/0295-5075/85/60001

New n-mode squeezing operator and squeezed states with standard squeezing

Li-yun Hu1, 2 and Hong-yi Fan2

1   College of Physics & Communication Electronics, Jiangxi Normal University - Nanchang 330022, China
2   Department of Physics, Shanghai Jiao Tong University - Shanghai 200030, China

received 10 February 2009; accepted in final form 24 February 2009; published March 2009
published online 11 March 2009

We find that the exponential operator $V\equiv {\rm exp}[{\tt i}\lambda (Q_{1}P_{2}+Q_{2}P_{3}+\cdot \cdot \cdot +Q_{n-1}P_{n}+Q_{n}P_{1})]$, 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.

03.65.-w - Quantum mechanics.
42.50.-p - Quantum optics.

© EPLA 2009