344 citations · 2.8k across the 83 of their papers we have counts for
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Wegner estimate and level repulsion for Wigner random matrices
Laszlo Erdos, Benjamin Schlein, Horng-Tzer Yau
We consider Hermitian random matrices with independent identically distributed entries (Wigner matrices). The matrices are normalized so that the average spacing betwee…
Dynamical formation of correlations in a Bose-Einstein condensate
Laszlo Erdos, Alessandro Michelangeli, Benjamin Schlein
We consider the evolution of bosons interacting with a repulsive short range pair potential in three dimensions. The potential is scaled according to the Gross-Pitaevskii scali…
The ground state energy of a low density Bose gas: a second order upper bound
Laszlo Erdos, Benjamin Schlein, Horng-Tzer Yau
Consider bosons in a finite box $Λ= [0,L]^3\subset \bR^3$ interacting via a two-body nonnegative soft potential with fixed and small. We will ta…
Quantum Dynamics with Mean Field Interactions: a New Approach
Laszlo Erdos, Benjamin Schlein
We propose a new approach for the study of the time evolution of a factorized -particle bosonic wave function with respect to a mean-field dynamics with a bounded interaction po…
Rate of decoherence for an electron weakly coupled to a phonon gas
Riccardo Adami, Laszlo Erdos
We study the dynamics of an electron weakly coupled to a phonon gas. The initial state of the electron is the superposition of two spatially localized distant bumps moving towards…
Rigorous Derivation of the Gross-Pitaevskii Equation with a Large Interaction Potential
Laszlo Erdos, Benjamin Schlein, Horng-Tzer Yau
Consider a system of bosons in three dimensions interacting via a repulsive short range pair potential , where $\bx=(x_1, >..., x_N)$ denotes the positions of…