Control of populations of two-level systems by a single resonant laser pulse

Abstract

We present a simple approach allowing to obtain analytical expressions for laser pulses that can drive a two-level system in an arbitrarily chosen way. The proposed scheme relates every desired population-evolution path to a single resonant laser pulse. It allows to drive the system from any initial superposition of the two states to a final state having the desired distribution of the populations. We exemplify the scheme with a concrete example, where the system is driven from a non-stationary superposition of states to one of its eigenstates. We argue that the proposed approach may have interesting applications for designing pulses that can control ultrafast charge-migration processes in molecules. Although focused on laser driven population control, the results obtained are general and could be applied for designing other types of control fields.

References in corpus (6)

• NMR Techniques for Quantum Control and Computation
• Robust quantum control by shaped pulse
• Ultrafast optical rotations of electron spins in quantum dots
• Time-optimal control of SU(2) quantum operations
• Radiation Generated by Charge Migration Following Ionization
• Ultrafast electron dynamics following outer-valence ionization: The impact of low-lying relaxation satellite states

Cited by in corpus (11)

• Spanning the full Poincaré sphere with polariton Rabi oscillations
• Control of charge migration in molecules by ultrashort laser pulses
• Exciting with Quantum Light. II. Exciting a two-level system
• Demonstration of dynamical control of three-level open systems with a superconducting qutrit
• Pulse engineering for population control under dephasing and dissipation
• Pulse reverse-engineering for strong field-matter interaction
• Compression and collisions of chirped pulses in a dense two-level medium
• Universal quantum control with dynamical correction
• Reverse engineering control of relative phase and populations of two-level quantum systems
• Accelerating adiabatic quantum transfer for three-level $\Lambda$-type structure systems via picture transformation
• Simultaneous control of populations and coherence phase of open two-level quantum systems with a single pulse