Long-time-scale revivals in ion traps

Abstract

In this contribution we investigate the interaction of a single ion in a trap with laser beams. Our approach, based on unitary transformating the Hamiltonian, allows its exact diagonalization without performing the Lamb-Dicke approximation. We obtain a transformed Jaynes-Cummings type Hamiltonian, and we demonstrate the existence of super-revivals in that system.

8 pages, 2 figures, in RevTex. To appear in Phys.Rev. A 59 (01 March 1999)

References in corpus (1)

• Trapped ions in the strong excitation regime: ion interferometry and non--classical states

Cited by in corpus (30)

• Fast quantum gates for cold trapped ions
• Jahn-Teller systems from a cavity QED perspective
• Ion-laser interactions: The most complete solution
• Entanglement between motional states of a single trapped ion and light
• Filtering Number States of the Vibrational Motion of an Ion
• A modern review of the two-level approximation
• Cavity QED and Quantum Computation in the Weak Coupling Regime
• Quantum interference structures in trapped ion dynamics beyond the Lamb-Dicke and rotating wave approximations
• Motional frequency shifts of trapped ions in the Lamb-Dicke regime
• Evolution of the N ion Jaynes-Cummings model beyond the standard rotating wave approximation
• Motional effects of single trapped atomic/ionic qubit
• Nonclassical effects in cold trapped ions inside a cavity
• Vibronic "Rabi resonances" in harmonic and hard-wall ion-traps for arbitrary laser intensity and detuning
• Continued fraction solution to the Raman interaction of a trapped ultracold ion with two traveling wave lasers
• Generalized qubits of the vibrational motion of a trapped ion
• Unitary transformation approach for the trapped ion dynamics
• N-Level System Interacting with Single Radiation Mode and Multi Cat States of Schrodinger in the Strong Coupling Regime
• Transversal laser excitation of atoms in a waveguide
• Perturbative approach to the dynamics of a trapped ion interacting with a light field
• Mathematical Structure of Rabi Oscillations in the Strong Coupling Regime
• On Nonlinear Bosonic Coherent States
• Dynamics of a superconducting qubit coupled to the quantized cavity field: a unitary transformation approach
• Trapped ions beyond carrier and sideband interactions
• Preparation of Schrödinger cat states with cold ions beyond the Lamb-Dicke limit
• A Generalized Hamiltonian Characterizing the Interaction of the Two-Level Atom and both the Single Radiation Mode and External Field
• Preparation of Schrödinger cat states of a cavity field via coupling to a superconducting charge qubit
• Cavity QED and Quantum Computation in the Strong Coupling Regime II : Two Atoms Case
• Vibronic coupling induced by fast Rabi oscillations for kinetic energy control in free atom
• Realization of Trapped Ion Dynamics in the Strong-Field Regime and Non-Markovianity
• A fast scheme for the implementation of the quantum Rabi model with trapped ions