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

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

2009-02-10

arxiv.org/abs/0902.1589v1

Physics

Quantum Physics

8 pages, no figure

Scientific paper

10.1209/0295-5075/85/60001

We find that the exponential operator V=exp[ilamda (Q_1P_2+Q_2P_3+...+Q_{n-1}P_{n}+Q_{n}P_1)], Q_{i}, P_{i} 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.

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