Non-linear wave packet dynamics of coherent states of various symmetry groups

被引：21

作者：

Banerji, J ^{[1
]}

Agarwal, GS ^{[1
]}

机构：

[1] Phys Res Lab, Ahmadabad 380009, Gujarat, India

来源：

OPTICS EXPRESS | 1999年 / 5卷 / 10期

关键词：

D O I：

10.1364/OE.5.000220

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We present a comparative study of the non-linear wave packet dynamics of two-mode coherent states of the Heisenberg-Weyl group, the SU(1,1) group and the SU(2) group under the action of a model anharmonic Hamiltonian. In each case, we find certain generic signatures of non-linear evolution such as quick onset of decoherence followed by Schrodinger cat formation and revival. We also report important differences in the evolution of coherent states belonging to different symmetry groups. (C) 1999 Optical Society of America.

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页码：220 / 229

页数：10

相关论文

共 21 条

[1] Atomic Schrodinger cat states [J].

Agarwal, GS ;

Puri, RR ;

Singh, RP .

PHYSICAL REVIEW A, 1997, 56 (03) :2249-2254

[2] NONCLASSICAL STATISTICS OF FIELDS IN PAIR COHERENT STATES [J].

AGARWAL, GS .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 1988, 5 (09) :1940-1947

[3] Fractional revivals in systems with two time scales [J].

Agarwal, GS ;

Banerji, J .

PHYSICAL REVIEW A, 1998, 57 (05) :3880-3884

[4] Vortex states for the quantized radiation field [J].

Agarwal, GS ;

Puri, RR ;

Singh, RP .

PHYSICAL REVIEW A, 1997, 56 (05) :4207-4215

[5] The orbital angular momentum of light [J].

Allen, L ;

Padgett, MJ ;

Babiker, M .

PROGRESS IN OPTICS, VOL XXXIX, 1999, 39 :291-372

[6] ATOMIC COHERENT STATES IN QUANTUM OPTICS [J].

ARECCHI, FT ;

THOMAS, H ;

GILMORE, R ;

COURTENS, E .

PHYSICAL REVIEW A, 1972, 6 (06) :2211-&

[7] FRACTIONAL REVIVALS - UNIVERSALITY IN THE LONG-TERM EVOLUTION OF QUANTUM WAVE-PACKETS BEYOND THE CORRESPONDENCE PRINCIPLE DYNAMICS [J].

AVERBUKH, IS ;

PERELMAN, NF .

PHYSICS LETTERS A, 1989, 139 (09) :449-453

[8] Revival and fractional revival in the quantum dynamics of SU(1,1) coherent states [J].

Banerji, J ;

Agarwal, GS .

PHYSICAL REVIEW A, 1999, 59 (06) :4777-4783

[9] Wave-packet revivals for quantum systems with nondegenerate energies [J].

Bluhm, R ;

Kostelecky, VA ;

Tudose, B .

PHYSICS LETTERS A, 1996, 222 (04) :220-226

[10] GENERALIZED COHERENT STATE FOR BOSONIC REALIZATION OF SU(2) LIE-ALGEBRA [J].

BUZEK, V ;

QUANG, T .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 1989, 6 (12) :2447-2449