Recent advances in optical Feshbach resonance technique have enabled the experimental investigation of atomic gases with time-dependent interaction. In this work, we study many-body dynamics weakly interacting bosons subject an arbitrary time varying scattering length. By employing a variational ansatz, derive effective Hamiltonian that governs thermal particles. Crucially, show there exists hi...

The application of renormalization group (RG) methods to microscopic nuclear many-body calculations is discussed. We present the solution of the RG equations in the particle-hole channels for neutron matter and the application to S-wave pairing. Furthermore, we point out that the inclusion of tensor and spin-orbit forces leads to spin non-conserving effective interactions in nuclear matter. The...

We investigate in a simple model whether a Jastrow-based approach for a many-body system containing two-body interactions can be exact. By comparison with recent assertions to the contrary, we find that in general the exact wave function is not purely two-body correlated. Nonetheless, we show that the energy estimate obtained from the calculations is as accurate as it can possibly be, suggestin...