AI RESEARCH
Capturing reduced-order quantum many-body dynamics out of equilibrium via neural ordinary differential equations
arXiv CS.LG
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ArXi:2512.13913v2 Announce Type: replace Out-of-equilibrium quantum many-body systems exhibit rapid correlation buildup that underlies many emerging phenomena. Exact wave-function methods to describe this scale exponentially with particle number; simpler mean-field approaches neglect essential two-particle correlations. The time-dependent two-particle reduced density matrix (TD2RDM) formalism offers a middle ground by propagating the two-particle reduced density matrix (2RDM) and closing the BBGKY hierarchy with a reconstruction of the three-particle cumulant.