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

Abstract

In this paper, we present a protocol to engineer upper-bounded and sliced Jaynes-Cummings and anti-Jaynes-Cummings Hamiltonians in cavity quantum electrodynamics. In the upper-bounded Hamiltonians, the atom-field interaction is confined to a subspace of Fock states ranging from $|0⟩$ up to $|4⟩$, while in the sliced interaction the Fock subspace ranges from $|M⟩$ up to $|M+4⟩$. We also show how to build upper-bounded and sliced Liouvillians irrespective of engineering Hamiltonians. The upper-bounded and sliced Hamiltonians and Liouvillians can be used, among other applications, to generate steady Fock states of a cavity mode and for the implementation of a quantum-scissors device for optical state truncation.

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Cited by in corpus (5)

• Multiphoton Jaynes-Cummings Model: Arbitrary Rotations in Fock Space and Quantum Filters
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• Feasible platform to study negative temperatures
• A Squeezed Vacuum State Laser with Zero Diffusion
• Comment on "Generalized James' Effective Hamiltonian Method"