Quantum accelerator modes from the Farey tree

被引：27

作者：

Buchleitner, A ^{[1
]}

d'Arcy, MB

Fishman, S

Gardiner, SA

Guarneri, I

Ma, ZY

Rebuzzini, L

Summy, GS

机构：

[1] Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany

[2] Natl Inst Standards & Technol, Atom Phys Div, Gaithersburg, MD 20899 USA

[3] Technion Israel Inst Technol, Phys Dept, IL-32000 Haifa, Israel

[4] Univ Colorado, JILA, Boulder, CO 80309 USA

[5] Natl Inst Standards & Technol, Boulder, CO 80309 USA

[6] Univ Insubria, Dipartimento Matemat & Fis, I-22100 Como, Italy

[7] Univ Milan, Inst Nazl Fis Mat, I-20133 Milan, Italy

[8] Inst Nazl Fis Nucl, Sez Pavia, I-27100 Pavia, Italy

[9] Univ Oxford, Dept Phys, Oxford OX1 3PU, England

[10] Oklahoma State Univ, Dept Phys, Stillwater, OK 74078 USA

来源：

PHYSICAL REVIEW LETTERS | 2006年 / 96卷 / 16期

关键词：

D O I：

10.1103/PhysRevLett.96.164101

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We show that mode locking finds a purely quantum nondissipative counterpart in atom-optical quantum accelerator modes. These modes are formed by exposing cold atoms to periodic kicks in the direction of the gravitational field. They are anchored to generalized Arnol'd tongues, parameter regions where driven nonlinear classical systems exhibit mode locking. A hierarchy for the rational numbers known as the Farey tree provides an ordering of the Arnol'd tongues and hence of experimentally observed accelerator modes.

引用

页数：4

共 24 条

[1] Quantum-mechanical cumulant dynamics near stable periodic orbits in phase space: Application to the classical-like dynamics of quantum accelerator modes [J].

Bach, R ;

Burnett, K ;

d'Arcy, MB ;

Gardiner, SA .

PHYSICAL REVIEW A, 2005, 71 (03)

[2] Generation of photon number states on demand via cavity quantum electrodynamics [J].

Brattke, S ;

Varcoe, BTH ;

Walther, H .

PHYSICAL REVIEW LETTERS, 2001, 86 (16) :3534-3537

[3] Non-dispersive wave packets in periodically driven quantum systems [J].

Buchleitner, A ;

Delande, D ;

Zakrzewski, J .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2002, 368 (05) :409-547

[4] Web-assisted tunneling in the kicked harmonic oscillator [J].

Carvalho, ARR ;

Buchleitner, A .

PHYSICAL REVIEW LETTERS, 2004, 93 (20) :204101-1

[5] UNIVERSAL INSTABILITY OF MANY-DIMENSIONAL OSCILLATOR SYSTEMS [J].

CHIRIKOV, BV .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1979, 52 (05) :263-379

[6] Quantum enhancement of momentum diffusion in the delta-kicked rotor [J].

d'Arcy, MB ;

Godun, RM ;

Oberthaler, MK ;

Cassettari, D ;

Summy, GS .

PHYSICAL REVIEW LETTERS, 2001, 87 (07) :74102-1

[7] Approaching classicality in quantum accelerator modes through decoherence [J].

Oberthaler, M.K., 2001, American Institute of Physics Inc. (64)

[8]

Farey J., 1816, PHILOS MAG J LONDON, V47, P385

[9] Stable quantum resonances in atom optics [J].

Fishman, S ;

Guarneri, I ;

Rebuzzini, L .

PHYSICAL REVIEW LETTERS, 2002, 89 (08) :084101/1-084101/4

[10] A theory for quantum accelerator modes in atom optics [J].

Fishman, S ;

Guarneri, I ;

Rebuzzini, L .

JOURNAL OF STATISTICAL PHYSICS, 2003, 110 (3-6) :911-943

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