Suppression of ac Stark shift scattering rate due to non-Markovian behavior

Abstract

The ac Stark shift in the presence of spontaneous decay is typically considered to induce an effective dephasing with a scattering rate equal to ${\Gamma }_s|\Omega {|}^2/{\Delta }^2$, where ${\Gamma }_s$ is the spontaneous decay rate, $\Omega$ is the laser transition coupling, and $\Delta$ is the detuning. We show that under realistic circumstances this dephasing rate may be strongly modifed due to non-Markovian behavior. The non-Markovian behavior arises due to an effective modification of the light-atom coupling in the presence of the ac Stark shift laser. An analytical formula for the non-Markovian ac Stark shift induced dephasing is derived. We obtain that for narrow laser linewidths the effective dephasing rate is suppressed by a factor of $Q^2$, where $Q$ is the quality factor of the laser.

Accepted in PRA Rapid Communications

References in corpus (7)

• Assessing non-Markovian dynamics
• AC-Stark Shift and Dephasing of a Superconducting Qubit Strongly Coupled to a Cavity Field
• Quantum State Engineering and Precision Metrology using State-Insensitive Light Traps
• Fault-Tolerant Quantum Computation For Local Non-Markovian Noise
• Quantum memories based on engineered dissipation
• Exact master equations for the non-Markovian decay of a qubit
• Collective decoherence of cold atoms coupled to a Bose-Einstein condensate

Cited by in corpus (6)

• Faraday imaging induced squeezing of a double-well Bose-Einstein condensate
• Deterministic preparation of supersinglets with collective spin projections
• Decoherence effects in quantum nondemolition measurement induced entanglement between Bose-Einstein condensates
• Quantum nondemolition measurement operator with spontaneous emission
• Dephasing effects on quantum correlations and teleportation in presence of state dependent bath
• Time evolution of quantum correlations in presence of state dependent bath