Stochastic TDHF in an exactly solvable model
Lacombe L, Suraud E, Reinhard PG, Dinh PM (2016)
Publication Type: Journal article
Publication year: 2016
Journal
Book Volume: 373
Pages Range: 216-229
DOI: 10.1016/j.aop.2016.07.008
Abstract
We apply in a schematic model a theory beyond mean-field, namely Stochastic Time-Dependent Hartree–Fock (STDHF), which includes dynamical electron–electron collisions on top of an incoherent ensemble of mean-field states by occasional 2-particle–2-hole (2p2h) jumps. The model considered here is inspired by a Lipkin–Meshkov–Glick model of Ω particles distributed into two bands of energy and coupled by a two-body interaction. Such a model can be exactly solved (numerically though) for small Ω. It therefore allows a direct comparison of STDHF and the exact propagation. The systematic impact of the model parameters as the density of states, the excitation energy and the bandwidth is presented and discussed. The time evolution of the STDHF compares fairly well with the exact entropy, as soon as the excitation energy is sufficiently large to allow 2p2h transitions. Limitations concerning low energy excitations and memory effects are also discussed.
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APA:
Lacombe, L., Suraud, E., Reinhard, P.-G., & Dinh, P.M. (2016). Stochastic TDHF in an exactly solvable model. Annals of Physics, 373, 216-229. https://doi.org/10.1016/j.aop.2016.07.008
MLA:
Lacombe, L., et al. "Stochastic TDHF in an exactly solvable model." Annals of Physics 373 (2016): 216-229.
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