Pulse engineering for population control under dephasing and dissipation

Abstract

We apply reverse-engineering to find electromagnetic pulses that allow for the control of populations in quantum systems under dephasing and thermal noises. In particular, we discuss two-level systems given their importance in the description of several molecular systems as well as quantum computing. Such an investigation naturally finds applications in a multitude of physical situations involving the control of quantum systems. We present an analytical description of the pulse which solves a constrained dynamics where the initial and final populations are fixed a priori. This constrained dynamics is sometimes impossible and we precisely spot the conditions for that. One of our main results is the presentation of analytical conditions for the establishment of steady states for finite coherence in the presence of noise. This might naturally find applications in quantum memories.

arXiv comment5 pages, 6 figures

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• Pulse reverse-engineering for strong field-matter interaction
• Assessment of weak-coupling approximations on a driven two-level system under dissipation
• Trajectory tracking for non-Markovian quantum systems
• Reverse engineering control of relative phase and populations of two-level quantum systems
• Energetics of self-organization in a dissipative two-site quantum system driven by single-photon pulses
• Simultaneous control of populations and coherence phase of open two-level quantum systems with a single pulse
• One-step preparation of 3D Bell and 3D GHZ states with Rydberg atoms