PHOTON NUMBER DIVERGENCE IN THE QUANTUM-THEORY OF N-PHOTON DOWN CONVERSION

被引:44
作者
HILLERY, M
机构
[1] Department of Physics and Astronomy, Hunter College, City University of New York, New York, NY 10021
来源
PHYSICAL REVIEW A | 1990年 / 42卷 / 01期
关键词
D O I
10.1103/PhysRevA.42.498
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
The process of n-photon down conversion is considered both with a quantized pump and in the parametric approximation. In the parametric approximation it is formally found that the photon number diverges at a finite time for n>2. This divergence limits the times for which the parametric approximation is useful. The divergence does not occur if the pump is quantized. Furthermore, it is shown that the Hamiltonian with a quantized pump is essentially self-adjoint. This means that the questions that have been raised about the existence of the time-development operator in the parametric approximation do not arise when the pump is quantized. © 1990 The American Physical Society.
引用
收藏
页码:498 / 502
页数:5
相关论文
共 8 条
[1]   GENERALIZED SQUEEZING [J].
BRAUNSTEIN, SL ;
MCLACHLAN, RI .
PHYSICAL REVIEW A, 1987, 35 (04) :1659-1667
[2]   LIMITATIONS TO SQUEEZING IN A PARAMETRIC-AMPLIFIER DUE TO PUMP QUANTUM FLUCTUATIONS [J].
CROUCH, DD ;
BRAUNSTEIN, SL .
PHYSICAL REVIEW A, 1988, 38 (09) :4696-4711
[3]   IMPOSSIBILITY OF NAIVELY GENERALIZING SQUEEZED COHERENT STATES [J].
FISHER, RA ;
NIETO, MM ;
SANDBERG, VD .
PHYSICAL REVIEW D, 1984, 29 (06) :1107-1110
[4]   PATH-INTEGRAL APPROACH TO THE QUANTUM-THEORY OF THE DEGENERATE PARAMETRIC-AMPLIFIER [J].
HILLERY, M ;
ZUBAIRY, MS .
PHYSICAL REVIEW A, 1984, 29 (03) :1275-1287
[5]  
REED M, 1972, METHODS MODERN MATH, V1, P255
[6]  
REED M, 1972, METHODS MODERN MATH, V2, P200
[7]   EQUIVALENCE CLASSES OF MINIMUM UNCERTAINTY PACKETS [J].
STOLER, D .
PHYSICAL REVIEW D, 1970, 1 (12) :3217-&
[8]   GENERATION OF SQUEEZED STATES BY PARAMETRIC DOWN CONVERSION [J].
WU, LA ;
KIMBLE, HJ ;
HALL, JL ;
WU, HF .
PHYSICAL REVIEW LETTERS, 1986, 57 (20) :2520-2523