Dephasing effects on stimulated Raman adiabatic passage in tripod configurations

Abstract

We present an analytic description of the effects of dephasing processes on stimulated Raman adiabatic passage in a tripod quantum system. To this end, we develop an effective two-level model. Our analysis makes use of the adiabatic approximation in the weak dephasing regime. An effective master equation for a two-level system formed by two dark states is derived, where analytic solutions are obtained by utilizing the Demkov-Kunike model. From these, it is found that the fidelity for the final coherent superposition state decreases exponentially for increasing dephasing rates. Depending on the pulse ordering and for adiabatic evolution the pulse delay can have an inverse effect.

13 pages; 9 figures; Accepted for publication Physical Review A

References in corpus (5)

• Non-Abelian gauge potentials for ultra-cold atoms with degenerate dark states
• Geometric phase gates based on stimulated Raman adiabatic passage in tripod systems
• Geometric phases in open tripod systems
• Counterintuitive transitions between crossing energy levels
• Steering quantum transitions between three crossing energy levels