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- W4287752618 abstract "Using phase-space complexification, an Initial Value Representation (IVR) for the semiclassical propagator in position space is obtained as a composition of inverse Segal-Bargmann (S-B) transforms of the semiclassical coherent state propagator. The result is shown to be free of caustic singularities and identical to the Herman-Kluk (H-K) propagator, found ubiquitously in physical and chemical applications. We contrast the theoretical aspects of this particular IVR with the van Vleck-Gutzwiller (vV-G) propagator and one of its IVRs, often employed in order to evade the non-linear root-search for trajectories required by vV-G. We demonstrate that bypassing the root-search comes at the price of serious numerical instability for all IVRs except the H-K propagator. We back up our theoretical arguments with comprehensive numerical calculations performed using the homogeneous Kerr system, about which we also unveil some unexpected new phenomena, namely: (1) the observation of a clear mark of half the Ehrenfest's time in semiclassical dynamics; and (2) the accumulation of trajectories around caustics as a function of increasing time (dubbed caustic stickiness). We expect these phenomena to be more general than for the Kerr system alone." @default.
- W4287752618 created "2022-07-26" @default.
- W4287752618 creator A5033864866 @default.
- W4287752618 date "2020-06-24" @default.
- W4287752618 modified "2023-10-18" @default.
- W4287752618 title "Complexified phase spaces, initial value representations, and the accuracy of semiclassical propagation" @default.
- W4287752618 doi "https://doi.org/10.48550/arxiv.2006.13902" @default.
- W4287752618 hasPublicationYear "2020" @default.
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