Optimal Pulse Design for Dissipative-Stimulated Raman Exact Passage

Abstract

Quantum control of lossy systems is known to be achieved by adiabatic passage via an approximate dark state relatively immune to loss, such as the emblematic example of stimulated Raman adiabatic passage (STIRAP) featuring a lossy excited state. By systematic optimal control study, via the Pontryagin maximum principle, we design alternative more efficient routes that, for a given admissible loss, feature an optimal transfer with respect to the cost defined as (i) the pulse energy (energy minimization) or (ii) the pulse duration (time minimization). The optimal controls feature remarkably simple sequences in the respective cases: (i) operating far from a dark state, of π-pulse type in the limit of low admissible loss, or (ii) close to the dark state with a counterintuitive pulse configuration sandwiched by sharp intuitive sequences, referred to as the intuitive/counterintuitive/intuitive (ICI) sequence. In the case of time optimization, the resulting stimulated Raman exact passage (STIREP) outperforms STIRAP in term of speed, accuracy, and robustness for low admissible loss.

Adiabatically Manipulated Systems Interacting with Spin Baths beyond the Rotating Wave Approximation

“…The STIRAP technique is still extensively investigated [13][14][15][16][17][18] and has been exploited in different physical contexts ranging from cold gases [19][20][21] to condensed matter [22][23][24][25][26][27][28], plasmonic systems [29,30], superconducting devices [31][32][33], trapped ions [34,35] and optomechanical systems [36]. Recently, in order to improve the original technique by shortening the population transfer process, modifications to the original scheme including shortcuts to adiabaticity have been proposed [37][38][39][40][41][42].…”

GRAPE optimization for open quantum systems with time-dependent decoherence rates driven by coherent and incoherent controls

“…The PMP was used to controlling a single non-Hermitian qubit similar to a system with an open spontaneous emission channel to derive optimal trajectories connecting boundary states on the Bloch sphere, using a cost function balancing the desired dynamics against the controller energy [72]. It was applied to systematic optimal control study of lossy systems, to design alternative more efficient routes that, for a given admissible loss, feature an optimal transfer with respect to the cost defined as the pulse energy (energy minimization) or the pulse duration (time minimization) [73]. A detailed review on the use of PMP in quantum control is provided in [67].…”