EFFECTIVE HAMILTONIAN FOR THE RADIATION IN A CAVITY WITH A MOVING MIRROR AND A TIME-VARYING DIELECTRIC MEDIUM

被引:283
作者
LAW, CK
机构
[1] Department of Physics and Astronomy, University of Rochester, Rochester
来源
PHYSICAL REVIEW A | 1994年 / 49卷 / 01期
关键词
D O I
10.1103/PhysRevA.49.433
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We study the quantized field in a one-dimensional electromagnetic resonant cavity. The cavity contains a linear and lossless dielectric medium with frequency-independent polarizability. The dielectric permittivity is an externally prescribed function of both the space and the time. We also allow one of the cavity's mirrors to move in a given trajectory. Unlike other previous studies on the same system, we formulate an effective Hamiltonian so that the dynamics of the cavity field can be described in the Schrodinger picture. The effective Hamiltonian is quadratic in structure, therefore two-photon generation from the vacuum state can occur. We also discuss the case of resonant behavior of the system.
引用
收藏
页码:433 / 437
页数:5
相关论文
共 18 条
[1]   EXACT QUANTUM-STATISTICAL DYNAMICS OF AN OSCILLATOR WITH TIME-DEPENDENT FREQUENCY AND GENERATION OF NONCLASSICAL STATES [J].
AGARWAL, GS ;
KUMAR, SA .
PHYSICAL REVIEW LETTERS, 1991, 67 (26) :3665-3668
[2]   THE RADIATION FROM MOVING MIRRORS - THE CREATION AND ABSORPTION OF PARTICLES [J].
CASTAGNINO, M ;
FERRARO, R .
ANNALS OF PHYSICS, 1984, 154 (01) :1-23
[3]  
Cervero J. M., 1990, Quantum Optics, V2, P333, DOI 10.1088/0954-8998/2/5/001
[4]   RADIATION FROM MOVING MIRRORS AND FROM BLACK-HOLES [J].
DAVIES, PCW ;
FULLING, SA .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1977, 356 (1685) :237-257
[5]  
DeWitt B. S., 1975, Physics Reports. Physics Letters Section C, V19c, P295, DOI 10.1016/0370-1573(75)90051-4
[6]  
Dodonov V. V., 1991, Journal of Soviet Laser Research, V12, P439, DOI 10.1007/BF01120270
[7]   GENERATION OF SQUEEZED STATES IN A RESONATOR WITH A MOVING WALL [J].
DODONOV, VV ;
KLIMOV, AB ;
MANKO, VI .
PHYSICS LETTERS A, 1990, 149 (04) :225-228
[8]   QUANTUM PHENOMENA IN NONSTATIONARY MEDIA [J].
DODONOV, VV ;
KLIMOV, AB ;
NIKONOV, DE .
PHYSICAL REVIEW A, 1993, 47 (05) :4422-4429
[9]   RADIATION FROM A MOVING MIRROR IN 2 DIMENSIONAL SPACE-TIME - CONFORMAL ANOMALY [J].
FULLING, SA ;
DAVIES, PCW .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1976, 348 (1654) :393-414
[10]   QUANTUM OPTICS OF DIELECTRIC MEDIA [J].
GLAUBER, RJ ;
LEWENSTEIN, M .
PHYSICAL REVIEW A, 1991, 43 (01) :467-491