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Web-assisted tunneling in the kicked harmonic oscillator
André R R Carvalho1, Andreas Buchleitner
1Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Strasse 38, D-01187 Dresden, Germany.
Physical Review Letters
|December 17, 2004
Summary
Heating of trapped ions is dramatically enhanced at specific Lamb-Dicke parameter values. This occurs when localized states cross with extended states, revealing unique quantum dynamics.
Area of Science:
- Atomic Physics
- Quantum Dynamics
- Quantum Chaos
Background:
- Harmonically trapped ions are fundamental systems for studying quantum mechanics.
- Periodic driving can induce complex behaviors in quantum systems.
Purpose of the Study:
- To investigate the heating dynamics of harmonically trapped ions subjected to periodic delta kicks.
- To identify conditions leading to enhanced heating in such systems.
Main Methods:
- Numerical simulations of ion dynamics under periodic delta-kick excitation.
- Analysis of quasienergy spectra and wave function localization.
Main Results:
- Heating is dramatically enhanced at isolated values of the Lamb-Dicke parameter.
- Quasienergy eigenstates localized on island structures exhibit avoided crossings with extended web states at these critical parameters.
Conclusions:
- The observed phenomenon highlights a unique interplay between localization and delocalization in driven quantum systems.
- These findings offer insights into controlling quantum transport and heating in trapped ion systems.