Geometric phase of light-induced conical intersections: Adiabatic time-dependent approach
G\'abor J. Hal\'asz, P\'eter Badank\'o, \'Agnes Vib\'ok

TL;DR
This paper demonstrates that the geometric phase of light-induced conical intersections can be effectively calculated using a time-dependent adiabatic approach, aligning with previous time-independent results, thus providing a dynamic perspective.
Contribution
It introduces a time-dependent adiabatic method to compute the geometric phase of light-induced conical intersections, complementing existing time-independent techniques.
Findings
Time-dependent adiabatic approach yields results similar to time-independent calculations.
The method confirms the topological nature of the geometric phase in light-induced conical intersections.
Results enhance understanding of topological effects in laser-induced molecular phenomena.
Abstract
Conical intersections are degeneracies between electronic states and are very common in nature. It has been found that they can also be created both by standing or by running laser waves. The latter are called light-induced conical intersections. It is well known that conical intersections are the sources for numerous topological effects which are manifested e.g. in the appearance of the geometric or Berry phase. In one of our former works by incorporating the diabatic-to-adiabatic transformation angle with the line-integral technique we have calculated the Berry-phase of the light-induced conical intersections. Here we demonstrate that by using the time dependent adiabatic approach suggested by Berry the geometric phase of the light-induced conical intersections can also be obtained and the results are very similar to those of the time-independent calculations.
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