Slicing the Fock space for state production and protection

Abstract

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 $|0⟩$ to $|M⟩$ ($|N⟩$ to$\infty$), and the sliced one confined to Fock subspace ranging from $|M⟩$ to $|N⟩$, whatever $M<N$. Whereas the upper-bounded JC or AJC interactions is shown to drive any initial state to a steady Fock state $|N⟩$, the sliced one is shown to produce steady superpositions of Fock states confined to the sliced subspace $\left\{|N⟩\text{,}|N+1⟩\right\}$.

References in corpus (6)

• Effective Hamiltonian Theory and Its Applications in Quantum Information
• Remote state preparation: arbitrary remote control of photon polarization
• State preparation and dynamics of ultracold atoms in higher lattice orbitals
• Field locked to Fock state by quantum feedback with single photon corrections
• Nonadiabatic coherent evolution of two-level systems under spontaneous decay
• Effective Hamiltonians in quantum optics: a systematic approach

Cited by in corpus (3)

• Steady entanglements in bosonic dissipative networks
• Steady many-body entanglements in dissipative systems
• Dissipative phonon Fock state production in strong nonlinear optomechanics