Vibrational Bloch-Siegert effect in trapped ions
arXiv:0801.1642 · doi:10.1103/PhysRevA.77.053817
Abstract
When trapped atoms are illuminated by weak lasers, off-resonant transitions cause shifts in the frequencies of the vibrational-sideband resonances. These frequency shifts may be understood in terms of Stark-shifts of the individual levels or, as proposed here, as a vibrational Bloch-Siegert shift, an effect closely related to the usual (radio-frequency or optical) Bloch-Siegert shift and associated with rapidly oscillating terms when the Rotating Wave Approximation is not made. Explicit analytic expressions are derived and compared to numerical results, and the similarities and differences between the usual and the vibrational Bloch-Siegert shifts are also spelled out.
6 pages, 3 figures
References in corpus (7)
- Quantum state engineering on an optical transition and decoherence in a Paul trap
- Process tomography of ion trap quantum gates
- How to realize a universal quantum gate with trapped ions
- Speed of ion trap quantum information processors
- Ultracold atoms in radio-frequency-dressed potentials beyond the rotating wave approximation
- 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
Cited by in corpus (7)
- Transitionless quantum drivings for the harmonic oscillator
- The most generalized analytical approximation to the solution of single-mode spin-boson model without rotating-wave approximation
- Pulse design without rotating wave approximation
- Shortcuts to Squeezed Thermal States
- Bespoke Pulse Design for Robust Rapid Two-Qubit Gates with Trapped Ions
- Avoided crossing resonances: structural and dynamical aspects
- Error bounds for the Floquet-Magnus expansion and their application to the semiclassical quantum Rabi model