Quantum signatures of chaos in the dynamics of a trapped ion

被引:27
作者
Breslin, JK [1 ]
Holmes, CA [1 ]
Milburn, GJ [1 ]
机构
[1] UNIV QUEENSLAND, DEPT MATH, ST LUCIA, QLD 4072, AUSTRALIA
来源
PHYSICAL REVIEW A | 1997年 / 56卷 / 04期
关键词
D O I
10.1103/PhysRevA.56.3022
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We show how a nonlinear chaotic system, the parametrically kicked nonlinear oscillator, may be realized in the dynamics of a trapped, laser-cooled ion, interacting with a sequence of standing-wave pulses. Unlike the original optical scheme [G. J. Milburn and C.A. Holmes, Phys. Rev. A 44, 4704 (1991)], the trapped ion enables strongly quantum dynamics with minimal dissipation. This should permit an experimental test of one of the quantum signatures of chaos: irregular collapse and revival dynamics of the average vibrational energy.
引用
收藏
页码:3022 / 3027
页数:6
相关论文
共 11 条
[1]   UNIVERSAL INSTABILITY OF MANY-DIMENSIONAL OSCILLATOR SYSTEMS [J].
CHIRIKOV, BV .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1979, 52 (05) :263-379
[2]  
CHIRIKOV BV, 1981, PHYS REP, V80, P157
[3]   Quantum nondemolition measurement of the motional energy of a trapped atom [J].
deMatos, RL ;
Vogel, W .
PHYSICAL REVIEW LETTERS, 1996, 76 (24) :4520-4523
[4]   Quantum chaos in atom optics: Using phase noise to model continuous momentum and position measurement [J].
Dyrting, S ;
Milburn, GJ .
QUANTUM AND SEMICLASSICAL OPTICS, 1996, 8 (03) :541-555
[5]   DYNAMIC LOCALIZATION OF ATOMIC-BEAM DEFLECTION BY A MODULATED STANDING LIGHT-WAVE [J].
GRAHAM, R ;
SCHLAUTMANN, M ;
ZOLLER, P .
PHYSICAL REVIEW A, 1992, 45 (01) :R19-R22
[6]  
HAAKE F, 1990, QUANTUM SIGNATURES C
[7]  
HASEGAWA H, 1989, PROG THEOR PHYS SUPP, P198, DOI 10.1143/PTPS.98.198
[8]   THEORY OF CHAOS AND CONTROL IN A NONLINEAR-OPTICAL SYSTEM [J].
HOLMES, CA .
PHYSICS LETTERS A, 1994, 190 (5-6) :382-386
[9]   Generation of nonclassical motional states of a trapped atom [J].
Meekhof, DM ;
Monroe, C ;
King, BE ;
Itano, WM ;
Wineland, DJ .
PHYSICAL REVIEW LETTERS, 1996, 76 (11) :1796-1799
[10]   QUANTUM COHERENCE AND CLASSICAL CHAOS IN A PULSED PARAMETRIC OSCILLATOR WITH A KERR NONLINEARITY [J].
MILBURN, GJ ;
HOLMES, CA .
PHYSICAL REVIEW A, 1991, 44 (07) :4704-4711