Theory of 2 δ-kicked quantum rotors

We examine the quantum dynamics of cold atoms subjected to pairs of closely spaced kicks from standing waves of light and find behavior quite unlike the well-studied quantum kicked rotor QKR. We show that the quantum phase space has a periodic, cellular structure arising from a unitary matrix with o...

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Bibliographic Details
Authors: Creffield, Charles; Fishman, S.; Monteiro, T. S.
Format: Article
Publication date:2006
Country:España
Institution:Universidad Complutense de Madrid (UCM)
Repository:Docta Complutense
Language:English
OAI Identifier:oai:docta.ucm.es:20.500.14352/51582
Online Access:https://hdl.handle.net/20.500.14352/51582
Access Level:Open access
Keyword:538.9
Delta-kicked rotor
Spectral statistics
Disordered-systems
Chaotic systems
Eigenfunctions
Transition
Dynamics
Barriers
Cantori
Models
Física de materiales
Física del estado sólido
2211 Física del Estado Sólido
Description
Summary:We examine the quantum dynamics of cold atoms subjected to pairs of closely spaced kicks from standing waves of light and find behavior quite unlike the well-studied quantum kicked rotor QKR. We show that the quantum phase space has a periodic, cellular structure arising from a unitary matrix with oscillating bandwidth. The corresponding eigenstates are exponentially localized, but scale with a fractional power L~ħ_(-0.75), in contrast to the QKR for which L~ħ_(-1). The effect of intercell (and intracell) transport is investigated by studying the spectral fluctuations with both periodic as well as “open” boundary conditions.