Slicing the Fock space for state production and protection
R. F. Rossetti, G. D. de Moraes Neto, F. O. Prado, F. Brito, M. H. Y. Moussa · Physical Review A · 2014
In this paper we present a protocol to engineer interactions confined to subspaces of the Fock space in trapped ions: we show how to engineer upper-bounded, lower-bounded, and sliced Jaynes-Cummings (JC) and anti-Jaynes-Cummings (AJC) Hamiltonians. The upper-bounded (lower-bounded) interaction acting upon Fock subspaces ranges from $|0\ensuremath{\rangle}$ to $|M\ensuremath{\rangle}$ ($|N\ensuremath{\rangle}$ $\text{to}\phantom{\rule{4pt}{0ex}}\ensuremath{\infty}$), and the sliced one confined to Fock subspace ranges from $|M\ensuremath{\rangle}$ to $|N\ensuremath{\rangle}$, whatever $M