Publications (65)
Derivation of effective evolution equations from many body quantum dynamics
Benjamin Schlein
The excitation spectrum of Bose gases interacting through singular potentials
Chiara Boccato, Christian Brennecke, Serena Cenatiempo +1
Rigorous Derivation of the Gross-Pitaevskii Equation with a Large Interaction Potential
Laszlo Erdos, Benjamin Schlein, Horng-Tzer Yau
Rigorous Derivation of the Gross-Pitaevskii Equation
Laszlo Erdos, Benjamin Schlein, Horng-Tzer Yau
Average Density of States for Hermitian Wigner Matrices
Anna Maltsev, Benjamin Schlein
Effective Evolution Equations in Quantum Physics
Benjamin Schlein
Mean field evolution of fermions with Coulomb interaction
Marcello Porta, Simone Rademacher, Chiara Saffirio +1
Fluctuations around Hartree states in the mean-field regime
Mathieu Lewin, Phan Thà nh Nam, Benjamin Schlein
Quantum Dynamics with Mean Field Interactions: a New Approach
Laszlo Erdos, Benjamin Schlein
Gross-Pitaevskii Equation as the Mean Field Limit of Weakly Coupled Bosons
Alexander Elgart, Laszlo Erdos, Benjamin Schlein +1
Effective evolution equations from many body quantum dynamics
Benjamin Schlein
Bulk universality for Wigner hermitian matrices with subexponential decay
Laszlo Erdos, Jose Ramirez, Benjamin Schlein +3
Rate of Convergence Towards Hartree Dynamics
Li Chen, Ji Oon Lee, Benjamin Schlein
Multivariate Central Limit Theorem in Quantum Dynamics
Simon Buchholz, Chiara Saffirio, Benjamin Schlein
Derivation of the Gross-Pitaevskii Equation for the Dynamics of Bose-Einstein Condensate
Laszlo Erdos, Benjamin Schlein, Horng-Tzer Yau
A Central Limit Theorem in Many-Body Quantum Dynamics
Gerard Ben Arous, Kay Kirkpatrick, Benjamin Schlein
Gross-Pitaevskii Dynamics for Bose-Einstein Condensates
Christian Brennecke, Benjamin Schlein
Dynamics of Bose-Einstein condensates of fermion pairs in the low density limit of BCS theory
Christian Hainzl, Benjamin Schlein
Effective equations for quantum dynamics
Benjamin Schlein
Ionization of Atoms by Intense Laser Pulses
Juerg Froehlich, Alessandro Pizzo, Benjamin Schlein
Dynamical formation of correlations in a Bose-Einstein condensate
Laszlo Erdos, Alessandro Michelangeli, Benjamin Schlein
Dynamics of Bose-Einstein Condensates
Benjamin Schlein
Lieb-Robinson Bounds for Harmonic and Anharmonic Lattice Systems
Bruno Nachtergaele, Hillel Raz, Benjamin Schlein +1
Stellar Collapse in the Time Dependent Hartree-Fock Approximation
Christian Hainzl, Benjamin Schlein
Fluctuations of $N$-particle quantum dynamics around the nonlinear Schrödinger equation
Christian Brennecke, Phan Thà nh Nam, Marcin Napiórkowski +1
Local semicircle law and complete delocalization for Wigner random matrices
Laszlo Erdos, Benjamin Schlein, Horng-Tzer Yau
Dynamics of a strongly coupled polaron
Rupert L. Frank, Benjamin Schlein
Hartree-Fock dynamics for weakly interacting fermions
Niels Benedikter, Marcello Porta, Benjamin Schlein
Derivation of the Cubic Non-linear Schrödinger Equation from Quantum Dynamics of Many-Body Systems
Laszlo Erdos, Benjamin Schlein, Horng-Tzer Yau
Quantum Fluctuations and Rate of Convergence towards Mean Field Dynamics
Igor Rodnianski, Benjamin Schlein
Mean Field Dynamics of Boson Stars
Alexander Elgart, Benjamin Schlein
From Hartree dynamics to the relativistic Vlasov equation
Elia Dietler, Simone Rademacher, Benjamin Schlein
The local relaxation flow approach to universality of the local statistics for random matrices
Laszlo Erdos, Benjamin Schlein, Horng-Tzer Yau +1
Mean-field Evolution of Fermionic Mixed States
Niels Benedikter, Vojkan Jaksic, Marcello Porta +2
Bogoliubov excitation spectrum for Bose-Einstein condensates
Benjamin Schlein
From the Hartree dynamics to the Vlasov equation
Niels Benedikter, Marcello Porta, Chiara Saffirio +1
Quantum Dynamics, Coherent States and Bogoliubov Transformations
Benjamin Schlein
On Blowup for time-dependent generalized Hartree-Fock equations
Christian Hainzl, Enno Lenzmann, Mathieu Lewin +1
The ground state energy of a low density Bose gas: a second order upper bound
Laszlo Erdos, Benjamin Schlein, Horng-Tzer Yau
On the Existence of the Dynamics for Anharmonic Quantum Oscillator Systems
Bruno Nachtergaele, Benjamin Schlein, Robert Sims +2
Local Marchenko-Pastur Law at the Hard Edge of Sample Covariance Matrices
Claudio Cacciapuoti, Anna Maltsev, Benjamin Schlein
Universality of Random Matrices and Local Relaxation Flow
Laszlo Erdos, Benjamin Schlein, Horng-Tzer Yau
Wegner estimate and level repulsion for Wigner random matrices
Laszlo Erdos, Benjamin Schlein, Horng-Tzer Yau
Nonlinear Hartree equation as the mean field limit of weakly coupled fermions
Alexander Elgart, Laszlo Erdos, Benjamin Schlein +1
Bounds for the Stieltjes Transform and the Density of States of Wigner Matrices
Claudio Cacciapuoti, Anna Maltsev, Benjamin Schlein
Derivation of Effective Evolution Equations from Microscopic Quantum Dynamics
Benjamin Schlein
Derivation of the Gross-Pitaevskii Hierarchy
Benjamin Schlein
Dynamical Collapse of Boson Stars
Alessandro Michelangeli, Benjamin Schlein
Mean-Field Dynamics of Fermions with Relativistic Dispersion
Niels Benedikter, Marcello Porta, Benjamin Schlein
Bogoliubov Theory in the Gross-Pitaevskii Limit
Chiara Boccato, Christian Brennecke, Serena Cenatiempo +1
Incompatibility of time-dependent Bogoliubov--de-Gennes and Ginzburg--Landau equations
Rupert L. Frank, Christian Hainzl, Benjamin Schlein +1
Bulk Universality for Wigner Matrices
Laszlo Erdos, Sandrine Peche, Jose A. Ramirez +2
Mean-field Evolution of Fermionic Systems
Niels Benedikter, Marcello Porta, Benjamin Schlein
Universality of sine-kernel for Wigner matrices with a small Gaussian perturbation
Laszlo Erdos, Jose A. Ramirez, Benjamin Schlein +1
Derivation of the two dimensional nonlinear Schrodinger equation from many body quantum dynamics
Kay Kirkpatrick, Benjamin Schlein, Gigliola Staffilani
Spectral Properties of Wigner Matrices
Benjamin Schlein
Quantum many-body fluctuations around nonlinear Schrödinger dynamics
Chiara Boccato, Serena Cenatiempo, Benjamin Schlein
Derivation of the Gross-Pitaevskii Hierarchy for the Dynamics of Bose-Einstein Condensate
Laszlo Erdos, Benjamin Schlein, Horng-Tzer Yau
Quantitative Derivation of the Gross-Pitaevskii Equation
Niels Benedikter, Gustavo de Oliveira, Benjamin Schlein
Semicircle law on short scales and delocalization of eigenvectors for Wigner random matrices
László ErdÅs, Benjamin Schlein, Horng-Tzer Yau
A Wegner estimate for Wigner matrices
Anna Maltsev, Benjamin Schlein
Adiabatic Charge Transport and the Kubo Formula for Landau Type Hamiltonians
Alexander Elgart, Benjamin Schlein
Gibbs measures of nonlinear Schrödinger equations as limits of many-body quantum states in dimensions $d \leq 3$
Jürg Fröhlich, Antti Knowles, Benjamin Schlein +1
A microscopic derivation of time-dependent correlation functions of the $1D$ cubic nonlinear Schrödinger equation
Jürg Fröhlich, Antti Knowles, Benjamin Schlein +1
Effective Evolution Equations from Quantum Dynamics
Niels Benedikter, Marcello Porta, Benjamin Schlein