Laser control for the optimal evolution of pure quantum states

Abstract

Starting from an initial pure quantum state, we present a strategy for reaching a target state corresponding to the extremum (maximum or minimum) of a given observable. We show that a sequence of pulses of moderate intensity, applied at times when the average of the observable reaches its local or global extremum, constitutes a strategy transferable to different control issues. Among them, post-pulse molecular alignment and orientation are presented as examples. The robustness of such strategies with respect to experimentally relevant parameters is also examined.

arXiv comment16 pages, 9 figures

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Cited by in corpus (19)

• Quantum control of molecular rotation
• Introduction to the Pontryagin Maximum Principle for Quantum Optimal Control
• Time-optimal control of a two-level dissipative quantum system
• Optimal molecular alignment and orientation through rotational ladder climbing
• Monotonically convergent optimal control theory of quantum systems with spectral constraints on the control field
• Monotonically convergent optimal control theory of quantum systems under a nonlinear interaction with the control field
• Field-free molecular orientation by THz laser pulses at high temperature
• Control of mixed-state quantum systems by a train of short pulses
• On the observation of field-free orientation of a symmetric top molecule by terahertz laser pulses at high temperature
• Laser control in a bifurcating region
• Optimally Controlled Field-Free Orientation of the Kicked Molecule
• A fully efficient time-parallelized quantum optimal control algorithm
• Control of molecular dynamics with zero-area fields: Application to molecular orientation and photofragmentation
• Not gate in a cis-trans photoisomerization model
• Time optimization and state-dependent constraints in the quantum optimal control of molecular orientation
• Comparative study of monotonically convergent optimization algorithms for the control of molecular rotation
• Decoherence, relaxation and chaos in a kicked-spin ensemble
• External constraints on optimal control strategies in molecular orientation and photofragmentation: Role of zero-area fields
• Quantum dynamics of a polar rotor acted upon by an electric rectangular pulse of variable duration