G. D. de Moraes Neto

Slicing the Fock space for state production and protection

In this letter we present a protocol to engineer interactions confined to subspaces of the Fock space in trapped ions: we show how to engineer upper-, lower-bounded and sliced Jaynes-Cummings (JC) and anti-Jaynes-Cummings (AJC) Hamiltonians. The upper-bounded (lower-bounded) interaction acting upon Fock subspaces ranging from

Steady Fock states via atomic reservoir

\left\vert 0\right\rangle

Steady many-body entanglements in dissipative systems

to

Nonperturbative approach to system-reservoir dynamics in the strong-coupling regime and non-Markovian dynamics

\left\vert M\right\rangle

Entanglement detection via atomic deflection

(

Trapped-ion Lissajous trajectories by engineering Rashba- and Dresselhaus-type spin-orbit interactions in a Paul trap

\left\vert N\right\rangle

Upper bounded and sliced Jaynes– and anti-Jaynes–Cummings Hamiltonians and Liouvillians in cavity quantum electrodynamics

to

Quantum atomic lithography via cross-cavity optical Stern–Gerlach setup

\ \infty

Colored channels for high-fidelity information transfer and processing between remote multi-branch quantum circuits

), and the sliced one confined to Fock subspace ranging from

Engineering interactions for quasiperfect transfer of polariton states through nonideal bosonic networks of distinct topologies

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