Quantum control of molecular rotation

Abstract

The angular momentum of molecules, or, equivalently, their rotation in three-dimensional space, is ideally suited for quantum control. Molecular angular momentum is naturally quantized, time evolution is governed by a well-known Hamiltonian with only a few accurately known parameters, and transitions between rotational levels can be driven by external fields from various parts of the electromagnetic spectrum. Control over the rotational motion can be exerted in one-, two- and many-body scenarios, thereby allowing to probe Anderson localization, target stereoselectivity of bimolecular reactions, or encode quantum information, to name just a few examples. The corresponding approaches to quantum control are pursued within separate, and typically disjoint, subfields of physics, including ultrafast science, cold collisions, ultracold gases, quantum information science, and condensed matter physics. It is the purpose of this review to present the various control phenomena, which all rely on the same underlying physics, within a unified framework. To this end, we recall the Hamiltonian for free rotations, assuming the rigid rotor approximation to be valid, and summarize the different ways for a rotor to interact with external electromagnetic fields. These interactions can be exploited for control --- from achieving alignment, orientation, or laser cooling in a one-body framework, steering bimolecular collisions, or realizing a quantum computer or quantum simulator in the many-body setting.

52 pages, 11 figures, 607 references

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• Influence Spatial Degeneracy on Rotational Spectroscopy Three Wave Mixing and enantiomeric state separation of Chiral Molecules
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• Directional properties of polar paramagnetic molecules subject to congruent electric, magnetic and optical fields
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• A model analysis of rotationally inelastic Ar + H${}_2$O scattering in an electric field
• Theoretical study of asymmetric superrotors: alignment and orientation
• Effect of rotational-state-dependent molecular alignment on the optical dipole force
• Asymptotic model for shape resonance control of diatomics by intense non-resonant light: Universality in the single-channel approximation
• Wigner representation of the rotational dynamics of rigid tops
• Controlling ultracold $p$-wave collisions with non-resonant light: Predictions of an asymptotic model for the generalized scattering volume
• Laser-induced molecular alignment in the presence of chaotic rotational dynamics
• Femtosecond wavepacket interferometry using the rotational dynamics of a trapped cold molecular ion
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• A quantum phase transition in the one-dimensional water chain
• Optimal quantum annealing: A variational shortcut to adiabaticity approach
• Robust control of a NOT gate by composite pulses
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• Femtosecond rotational dynamics of D${}_2$ molecules in superfluid helium nanodroplets
• Quantum thermodynamics with fast driving and strong coupling via the mesoscopic leads approach
• Comparison between optimal control and shortcut to adiabaticity protocols in a linear control system
• Enantioselective Orientation of Chiral Molecules Induced by Terahertz Pulses with Twisted Polarization
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• Geometric Origin of the Tennis Racket Effect
• Bell correlations between light and vibration at ambient conditions
• Shortcuts to adiabaticity for open quantum systems and a mixed-state inverse engineering scheme
• Robust control of an ensemble of springs: Application to Ion Cyclotron Resonance and two-level Quantum Systems
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• Bayesian optimization for inverse problems in time-dependent quantum dynamics
• Evading thermal population influence in enantiomeric-specific state transfer based on a cyclic three-level system via ro-vibrational transitions
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• An efficient and flexible approach for computing rovibrational polaritons from first principles
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• Optimal control and selectivity of qubits in contact with a structured environment
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• Theory on polarization-averaged core-level molecular-frame photoelectron angular distributions: II. Extracting the X-ray induced fragmentation dynamics of carbon monoxide dication from forward and backward intensities
• Echoes in Unidirectionally Rotating Molecules
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• Three Dimensional Orientation of Complex Molecules Excited by Two-Color Femtosecond Pulses
• Molecular Orientation-Induced Second Harmonic Generation: deciphering different contributions apart
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• Echo-enhanced molecular orientation at high temperatures
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• A greedy reconstruction algorithm for the identification of spin distribution
• Strategies for implementing quantum error correction in molecular rotation
• Composite acousto-optical modulation
• Quantum phases of bosonic chiral molecules in helicity lattices
• Nondestructive dispersive imaging of rotationally excited ultracold molecules
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• Intrinsic Calibration of Molecular Alignment Using Rotational Echoes
• Enantioselective chiral orientation induced by a combination of a long and a short laser pulse
• Application of the Pontryagin Maximum Principle to the robust time-optimal control of two-level quantum systems
• Optimal control of a Bose-Eintein Condensate in an optical lattice: The non-linear and two-dimensional cases
• Purity Speed Limit of Open Quantum Systems from Magic Subspaces
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• Long-Lasting Orientation of Symmetric-top Molecules Excited by Two-Color Femtosecond Pulses
• Microscopic theory of Raman scattering for the rotational organic cation in metal halide perovskites
• Characterization of a driven two-level quantum system by Supervised Learning
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• Optimal Selective Orientation of Chiral Molecules Using Femtosecond Laser Pulses
• Shape of a sound wave in a weakly-perturbed Bose gas
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• Exploring the limits of the generation of non-classical states of spins coupled to a cavity by optimal control
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