34 citations · 135 across the 13 of their papers we have counts for
13 papers
Microscopic derivation of a Schrödinger equation in dimension one with a nonlinear point interaction
Riccardo Adami, Jinyeop Lee
We derive an effective equation for the dynamics of many identical bosons in dimension one in the presence of a tiny impurity. The interaction between every pair of bosons is media…
On the convergence of nonlinear averaging dynamics with three-body interactions on hypergraphs
Emilio Cruciani, Emanuela L. Giacomelli, Jinyeop Lee
Complex networked systems in fields such as physics, biology, and social sciences often involve interactions that extend beyond simple pairwise ones. Hypergraphs serve as powerful…
On the characterisation of fragmented Bose-Einstein condensation and its emergent effective evolution
Jinyeop Lee, Alessandro Michelangeli
Fragmented Bose-Einstein condensates are large systems of identical bosons displaying \emph{multiple} macroscopic occupations of one-body states, in a suitable sense. The quest for…
Uniform in Time Convergence to Bose-Einstein Condensation for a Weakly Interacting Bose Gas with an External Potential
Charlotte Dietze, Jinyeop Lee
We consider a gas of weakly interacting bosons in three dimensions subject to an external potential in the mean field regime. Assuming that the initial state of our system is a pro…
A mixed-norm estimate of the two-particle reduced density matrix of many-body Schrödinger dynamics for deriving the Vlasov equation
Li Chen, Jinyeop Lee, Yue Li +1
We re-examine the combined semi-classical and mean-field limit in the -body fermionic Schrödinger equation with pure state initial data using the Husimi measure framework. The H…
Rate of convergence towards mean-field evolution for weakly interacting bosons with singular three-body interactions
Jinyeop Lee
In this paper, we investigate the dynamics of a system of weakly interacting bosons with singular three-body interactions in three dimensions. By assuming factorized initial da…