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Controlling dynamical localization by a non-ideal pulsatile function in a modulated gravitational cavity

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  • Naeem, Muhammad
  • Ayub, Muhammad
  • Sohail, Amjad
  • Naseer, Khalid

Abstract

We investigate the classical and quantum dynamics of cold atoms in a modulated gravitational cavity. We introduce a non-ideal modulation pulsatile function (NMPF) that depends on shape parameter m and modulation depth parameter F. For specific values of F beyond a certain limit, we present evidence of an early emergence of global chaos. Examining the probability distributions in both position and momentum space within the localization window in the presence of NMPF reveals that the system has already delocalized even while lying within the localization window. To further explore the effect of NMPF on dynamical localization, we investigate quantum widths in both position and momentum space as a function of time, and the widths shift from saturation (a signature of localization) to almost a linear diffusive behavior. The variance in momentum as a function of modulation strength displays early quantum diffusion in the presence of NMPF, which results in the delocalization of the wave packet, confirming our claim. As a result, our study offers a mechanism for fine-tuning the dynamical localization.

Suggested Citation

  • Naeem, Muhammad & Ayub, Muhammad & Sohail, Amjad & Naseer, Khalid, 2026. "Controlling dynamical localization by a non-ideal pulsatile function in a modulated gravitational cavity," Chaos, Solitons & Fractals, Elsevier, vol. 202(P1).
    • Handle: RePEc:eee:chsofr:v:202:y:2026:i:p1:s0960077925014845
    DOI: 10.1016/j.chaos.2025.117471
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