Many-body state engineering using measurements and fixed unitary dynamics

Mads Kock Pedersen, Jens Jakob W H Sørensen, Malte C Tichy, Jacob F Sherson
2014 New Journal of Physics  
We develop a scheme to prepare a desired state or subspace in high-dimensional Hilbert-spaces using repeated applications of a single static projection operator onto the desired target and fixed unitary dynamics. Benchmarks against other control schemes, performed on generic Hamiltonians and on Bose-Hubbard systems, establish the competitiveness of the method. As a concrete application of the control of mesoscopic atomic samples in optical lattices we demonstrate the near deterministic
more » ... erministic preparation of Schr\"{o}dinger cat states of all atoms residing on either the odd or the even sites.
doi:10.1088/1367-2630/16/11/113038 fatcat:6rfhrowavff2nf6j3ef5iqpkcm