Quantum corrections to the dynamics of interacting bosons: Beyond the truncated Wigner approximation
Quantum corrections to the dynamics of interacting bosons: Beyond the truncated Wigner approximation
We develop a consistent perturbation theory in quantum fluctuations around the classical evolution of a system of interacting bosons. The zero order approximation gives the classical Gross-Pitaevskii equations. In the next order we recover the truncated Wigner approximation, where the evolution is still classical but the initial conditions are distributed …