Avoided crossing resonances: structural and dynamical aspects

Abstract

We examine structural and dynamical properties of quantum resonances associated with an avoided crossing and identify the parameter shifts where these properties attain maximal or extreme values, first at a general level, and then for a two-level system coupled to a harmonic oscillator, of the type commonly found in quantum optics. Finally the results obtained are exemplified and applied to optimize the fidelity and speed of quantum gates in trapped ions.

4 pages, 1 figure

References in corpus (5)

• Strong-driving-assisted multipartite entanglement in cavity QED
• Two-photon probe of the Jaynes-Cummings model and symmetry breaking in circuit QED
• Motional frequency shifts of trapped ions in the Lamb-Dicke regime
• Vibronic "Rabi resonances" in harmonic and hard-wall ion-traps for arbitrary laser intensity and detuning
• Vibrational Bloch-Siegert effect in trapped ions

Cited by in corpus (3)

• Tunneling dynamics in exactly-solvable models with triple-well potentials
• Dynamics of Morphology-Dependent Resonances by Openness in Dielectric Disk for TE polarization
• Structural and dynamical aspects of avoided-crossing resonances in a $3$-level $\Lambda$ system