The tennis racket effect in a three-dimensional rigid body

Damme, L. Van; Mardešić, Pavao; Sugny, Dominique

doi:10.1016/j.physd.2016.07.010

Cited by 23 publications

(22 citation statements)

References 21 publications

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“…Non-trivial effects are still investigated by mathematicians and theoretical physicists. An example is given for asymmetric tops by the tennis racket effect [57,58,59]. This classical geometric phenomenon occurs in the free rotation of any asymmetric rigid body.…”

Section: Geometric Description Of Rotational Dynamicsmentioning

confidence: 99%

Quantum control of molecular rotation

2019

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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. IntroductionMolecules, unlike atoms, are extended objects that possess a number of different types of internal motion. In particular, the geometric arrangement of their constituent atoms endows molecules with the basic capability to rotate in three-dimensional space. Rotations can couple to vibrations of the atomic nuclei as well as to the orbital and spin angular momentum of the electrons. The resulting complexity of the energy level structure [1,2,3,4] may be daunting. It offers, on the other hand, a variety of knobs for control and thus is at the core of numerous applications, from the classic example of the ammonia maser [5] all the way to recent measurements of the electron's electric dipole moment in a cryogenic molecular beam of thorium monoxide [6].A key advantage of internal degrees of freedom such as rotation is that they occupy the low-energy part of the energy spectrum. Quantization of the rotational motion has been an early hallmark of quantum mechanics due to its connection to selection rules that govern all light-matter interactions [7]. Nowadays, rotational states and rotational molecular dynamics feature prominently in all active areas of AMO physics research as well as in neighbouring fields such as physical chemistry and quantum information science. Control over the rotational motion is crucial in one-body, two-body and many-body scenarios. For example, rotational state-selective excitation could pave the way towards separating left-and right handed enantiomers of chiral molecules [8,9]. Still within the one-body scenar...

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Section: Geometric Description Of Rotational Dynamicsmentioning

confidence: 99%

Quantum control of molecular rotation

2019

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“…The motion of a solid is a well-studied problem. For a non-symmetric rigid body, the rotation around the two axes with the highest and the smallest moments of inertia are stable whereas the intermediate axis is unstable resulting in the so-called tennis racket effect [1] (see video at https://www.youtube.com/watch?v=1VPfZ_XzisU). We reconsider this classic example and show that surprising phenomena occur also for a rotation around a stable axis when the smallest or the highest moment of inertia of the solid J 1 or J 0 gets close to the intermediate one J 2 and discuss the extension to conservative waves systems.…”

Section: Rotating Rigid Bodymentioning

confidence: 99%

Transient growth, edge states, and repeller in rotating solid and fluid

Chomaz

Ortiz

2021

Phys. Rev. E

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“…The instability of the intermediate axis is a well-known fact [47]. It has non-trivial dynamical implications, called the tennis racket effect or the Dzhanibekov effect, which are still being studied [66][67][68]. Here the initial temperature is T = 5 K, the field parameters used are the same as in Fig.…”

Section: Moleculesmentioning

confidence: 99%

Three Dimensional Orientation of Complex Molecules Excited by Two-Color Femtosecond Pulses

Xu,

Tutunnikov,

Prior

et al. 2021

Preprint

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We study the excitation of asymmetric-top (including chiral) molecules by two-color femtosecond laser pulses. In the cases of non-chiral asymmetric-top molecules excited by an orthogonally polarized two-color pulse, we demonstrate, classically and quantum mechanically, three-dimensional orientation. For chiral molecules, we show that the orientation induced by a cross-polarized twocolor pulse is enantioselective along the laser propagation direction, namely, the two enantiomers are oriented in opposite directions. On the short time scale, the classical and quantum simulations give results that are in excellent agreement, whereas on the longer time scale, the enantioselective orientation exhibits quantum beats. These observations are qualitatively explained by analyzing the interaction potential between the two-color pulse and molecular (hyper-)polarizability. The prospects for utilizing the long-lasting orientation for measuring and using the enantioselective orientation for separating the individual enantiomers are discussed.

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The tennis racket effect in a three-dimensional rigid body

Cited by 23 publications

References 21 publications

Quantum control of molecular rotation

Quantum control of molecular rotation

Transient growth, edge states, and repeller in rotating solid and fluid

Three Dimensional Orientation of Complex Molecules Excited by Two-Color Femtosecond Pulses

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