The time-dependent Hartree–Fock–Bogoliubov equations for Bosons
The time-dependent Hartree–Fock–Bogoliubov equations for Bosons
Abstract We introduce the map of dynamics of quantum Bose gases into dynamics of quasifree states, which we call the “nonlinear quasifree approximation”. We use this map to derive the time-dependent Hartree–Fock–Bogoliubov (HFB) equations describing the dynamics of quantum fluctuations around a Bose–Einstein condensate. We prove global well-posedness of the …