Simulation of Complete Many-Body Quantum Dynamics Using Controlled Quantum-Semiclassical Hybrids

P. Deuar
2009 Physical Review Letters  
A controlled hybridization between full quantum dynamics and semiclassical approaches (mean-field and truncated Wigner) is implemented for interacting many-boson systems. It is then demonstrated how simulating the resulting hybrid evolution equations allows one to obtain the full quantum dynamics for much longer times than is possible using an exact treatment directly. A collision of sodium BECs with 1.x10^5 atoms is simulated, in a regime that is difficult to describe semiclassically. The
more » ... assically. The uncertainty of physical quantities depends on the statistics of the full quantum prediction. Cutoffs are minimised to a discretization of the Hamiltonian. The technique presented is quite general and extension to other systems is considered.
doi:10.1103/physrevlett.103.130402 pmid:19905494 fatcat:lpsox2vbs5c6zbrh2lc7lqj6cy