Perfect revivals of Rabi oscillations and hybrid Bell states in a trapped ion

Abstract

We show that perfect revivals of Rabi oscillations are possible, under certain conditions, in the population inversion of a trapped ion. Based on this property, we find that Schrödinger cat states of the atomic motion are naturally generated by the unitary dynamics. Using a pair of symmetric and antisymmetric Schrödinger cat states of the motion, together with an electronic excited or ground state, we find that the interaction leads to four orthonormal maximally entangled states of the two partitions, which we identify as Bell states. We also study a quadratic Kerr-type evolution that is possible for short interaction times.

arXiv comment9 pages, 7 figures

References in corpus (19)

• Trapped-Ion Quantum Computing: Progress and Challenges
• Quantum computing with trapped ions
• Quantum computation over continuous variables
• Multi-particle entanglement of hot trapped ions
• Quantum Rabi Model with Trapped Ions
• Ion trap quantum gates with amplitude-modulated laser beams
• Heralded entanglement of two ions in an optical cavity
• Fast quantum control and light-matter interactions at the 10,000 quanta level
• Long-lived mesoscopic entanglement outside the Lamb-Dicke regime
• Direct generation of time-energy-entangled W triphotons in atomic vapor
• Kochen-Specker theorem studied with neutron interferometer
• Dynamics of Entanglement and `Attractor' states in The Tavis-Cummings Model
• Atomic Bell measurement via two-photon interactions
• Nonlinear Jaynes-Cummings model for two interacting two-level atoms
• Generation of Kerr non-Gaussian motional states of trapped ions
• Unambiguous atomic Bell measurement assisted by multiphoton states
• Multiphoton-state-assisted entanglement purification of material qubits
• Entangling operations in nonlinear two-atom Tavis-Cummings models
• Performance of entanglement purification including maximally entangled mixed states