Instantaneous Lifetime Dynamics of Short Laser Pulse‐Driven Positronium Embedded in Plasmas

Abstract This work examines the instantaneous lifetime dynamics of a positronium (Ps) atom under spherical confinement, influenced by a short laser pulse, and embedded in different plasma environments such as plasma‐free (PF), Debye plasma (DP), quantum plasma (QP), and nonideal classical plasma (NICP). The effects of medium parameters‐particularly the screening length, confinement radius, pulse frequency, and pulse strength are systematically analyzed. For the plasma interactions of the Ps atom, the work considers the screened Coulomb potential, exponential cosine screened Coulomb potential, and nonideal classical plasma potential. The corresponding wave equation is solved numerically using the tridiagonal matrix method. The effects of the short laser pulse are probed within the Runge–Kutta–Fehlberg formalism. Under the influence of the short laser pulse, the screening effects of plasma environments on the instantaneous lifetime of Ps are systematically examined in the time domain, and the functionalities of these environments are compared in detail. A similar analysis is also performed for the spherical confinement radius, as well as the strength and frequency of the short laser pulse. Significant influences and functional dependencies of the medium parameters and laser pulse on the instantaneous lifetime are identified. These results not only contribute to understanding the behavior of the Ps atom in complex environments but also provide a new perspective for controlled positronium applications in experimental plasma systems. The obtained findings offer new possibilities for engineering the lifetime dynamics of short‐lived quantum structures, particularly Ps, in the context of laser‐matter interactions and precise control of quantum systems in plasma environments. In this regard, they hold significant application potential across a broad spectrum ranging from antimatter physics to quantum optics.