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Magnetically Induced Rotating Rayleigh-Taylor Instability

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Dynamical localization in nonideal kicked rotors driven by two competing pulsatile modulations.

F Revuelta¹, R Chacón^2,3, F Borondo⁴

¹Grupo de Sistemas Complejos, Escuela Técnica Superior de Ingeniería Agronómica, Alimentaria y de Biosistemas, <a href="https://ror.org/03n6nwv02">Universidad Politécnica de Madrid</a>, Avenida Puerta de Hierro 2-4, 28040 Madrid, Spain.

Physical Review. E

|December 18, 2024

Summary

Dynamical localization in ultracold atoms can be enhanced by quasiperiodic modulations. A strong correlation between chaos and localization persists, guiding control in optical lattice systems.

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Area of Science:

Quantum physics
Atomic physics
Condensed matter physics

Background:

Dynamical localization is a quantum phenomenon observed in periodically driven systems.
Optical lattices and ultracold atoms provide a controllable platform for studying quantum dynamics.
Understanding the influence of complex driving protocols is crucial for controlling quantum states.

Purpose of the Study:

To investigate dynamical localization in ultracold atoms subjected to dual competing pulsatile modulations.
To explore the impact of finite pulse widths, modulation waveforms, and driving period commensurability.
To determine the relationship between chaos and dynamical localization under quasiperiodic driving.

Main Methods:

Analytical calculations.
Numerical simulations of ultracold atom dynamics in an optical lattice.
Investigation of parameter space including modulation amplitudes, periods, and waveforms.

Main Results:

Dynamical localization can survive or increase when periodic modulation is replaced by quasiperiodic modulation.
A strong correlation exists between chaos strength (stochastic layer width) and dynamical localization (momentum dispersion difference).
This correlation is maintained irrespective of whether the driving is periodic or quasiperiodic.

Conclusions:

Dynamical localization is robust and can be controlled by tuning modulation parameters.
The identified correlation between chaos and localization offers a practical approach for enhancing dynamical localization.
Findings are applicable to real-world systems with finite-width pulses in optical lattices.