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 (25)

• Decoherence Free Subspaces for Quantum Computation
• Noiseless Quantum Codes
• Quantum Computers and Dissipation
• A Theory of Quantum Error-Correcting Codes
• Remote State Preparation
• Quantum Computing Using Dissipation to Remain in a Decoherence-Free Subspace
• Quantum discord as resource for remote state preparation
• Effective Hamiltonian Theory and Its Applications in Quantum Information
• Quantum feedback control and classical control theory
• Remote state preparation: arbitrary remote control of photon polarization
• Suppressing Spin Qubit Dephasing by Nuclear State Preparation
• Quantum Error Correction
• Oblivious remote state preparation
• State preparation and dynamics of ultracold atoms in higher lattice orbitals
• Generating and probing a two-photon Fock state with a single atom in a cavity
• Heralded state preparation in a superconducting qubit
• Inhibition of Decoherence due to Decay in a Continuum
• Field locked to Fock state by quantum feedback with single photon corrections
• Time Averaged Quantum Dynamics and the Validity of the Effective Hamiltonian Model
• Quantum-scissors device for optical state truncation: A proposal for practical realization
• Mimicking a Squeezed Bath Interaction: Quantum Reservoir Engineering with Atoms
• Nonadiabatic coherent evolution of two-level systems under spontaneous decay
• Effective Hamiltonians in quantum optics: a systematic approach
• Qubits entanglement dynamics modified by an effective atomic environment
• Decoherence-free evolution of time-dependent superposition states of two-level systems and thermal effects

Cited by in corpus (7)

• Multiphoton Jaynes-Cummings Model: Arbitrary Rotations in Fock Space and Quantum Filters
• Steady entanglements in bosonic dissipative networks
• Steady many-body entanglements in dissipative systems
• Upper-bounded and sliced Jaynes- and anti-Jaynes-Cummings Hamiltonians and Liouvillians in cavity quantum electrodynamics
• Dissipative phonon Fock state production in strong nonlinear optomechanics
• A Squeezed Vacuum State Laser with Zero Diffusion
• Dispersive Jaynes-Cummings Hamiltonian describing a two-level atom interacting with a two-level single mode field