2014/09/09 by R. F. Rossetti, G. D. de Moraes Neto, F. O. Prado +2 · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Algorithm #Bounded function #Combinatorics #Computer science #Fock space #Fock state #Linear subspace #Mathematical analysis #Mathematical physics #Mathematics #Physics #Pure mathematics #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum mechanics #Quantum optics and atomic interactions #Space (punctuation) #State (computer science) #Subspace topology #quant-ph
paper · pdf · doi:10.1103/physreva.90.033840
arxiv created 2014/09/09 · openalex publication_date 2014/09/24 · arxiv updated 2015/06/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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⟩ to |M\ensuremath⟩ (|N\ensuremath⟩ to\phantom\rule4pt0ex\ensuremath∞), and the sliced one confined to Fock subspace ranges from |M\ensuremath⟩ to |N\ensuremath⟩, whatever M<N. Whereas the upper-bounded JC or AJC interaction is shown to drive any initial state to a steady Fock state |N\ensuremath⟩, the sliced one is shown to produce steady superpositions of Fock states confined to the sliced subspace |N\ensuremath⟩,|N+1\ensuremath⟩.