Thursday, July 4, 2013

1307.0665 (Mathieu Lewin et al.)

Fluctuations around Hartree states in the mean-field regime    [PDF]

Mathieu Lewin, Phan Thành Nam, Benjamin Schlein
We consider the dynamics of a large system of N interacting bosons in the mean-field regime where the interaction is of order 1/N. We prove that the fluctuations around the nonlinear Hartree state are generated by an effective quadratic Hamiltonian in Fock space, which is derived from Bogoliubov's approximation. This is different from the known fluctuations around a coherent state.
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