Rydberg wave packets in molecules

Smith, R. A. L.; Verlet, Jan R. R.; Fielding, Helen H.

doi:10.1039/b304791c

Cited by 10 publications

(7 citation statements)

References 72 publications

(95 reference statements)

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“…The dynamics of Rydberg states follows a general behaviour; the radiative lifetime scales with n 3 , while in molecules the (pre)-dissociative and autoionizing dynamics is governed by the same n 3 scaling. Of course in complex atoms and in molecules the Rydberg structure tends to become complicated in view of the interactions between series converging to the several fine-structure and rovibrational states of the ionic core [2][3][4].…”

Section: Introductionmentioning

confidence: 99%

Heavy Rydberg states

Reinhold

Ubachs

2005

Molecular Physics

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Section: Introductionmentioning

confidence: 99%

Heavy Rydberg states

Reinhold

Ubachs

2005

Molecular Physics

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“…It was, however, the development of modern experimental techniques, involving the laser-induced excitation of atomic Rydberg wave packets, including the use of the 'pump-probe' (17) or 'phase-modulation' (18) techniques to produce, and then monitor the subsequent time-development of, such states which led to widespread interest in the physics of wave packets. (For reviews of the subject, see (19) - (23).) Updated proposals for the production of such states in the context of Rydberg atoms, where one could study the connections between localized quantum mechanical solutions and semi-classical notions of particle trajectories, led first to the creation of such spatially localized states (24), to experiments which observed their return to near the atomic core (25), and then the observation of the classical Kepler periodicity (26), (27) of Rydberg wave packets, over only a few cycles in the early experiments.…”

Section: Introductionmentioning

confidence: 99%

Quantum wave packet revivals

2004

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The numerical prediction, theoretical analysis, and experimental verification of the phenomenon of wave packet revivals in quantum systems has flourished over the last decade and a half. Quantum revivals are characterized by initially localized quantum states which have a short-term, quasi-classical time evolution, which then can spread significantly over several orbits, only to reform later in the form of a quantum revival in which the spreading reverses itself, the wave packet relocalizes, and the semi-classical periodicity is once again evident. Relocalization of the initial wave packet into a number of smaller copies of the initial packet ('minipackets' or 'clones') is also possible, giving rise to fractional revivals. Systems exhibiting such behavior are a fundamental realization of time-dependent interference phenomena for bound states with quantized energies in quantum mechanics and are therefore of wide interest in the physics and chemistry communities.We review the theoretical machinery of quantum wave packet construction leading to the existence of revivals and fractional revivals, in systems with one (or more) quantum number(s), as well as discussing how information on the classical period and revival time is encoded in the energy eigenvalue spectrum. We discuss a number of one-dimensional model systems which exhibit revival behavior, including the infinite well, the quantum bouncer, and others, as well as several two-dimensional integrable quantum billiard systems. Finally, we briefly review the experimental evidence for wave packet revivals in atomic, molecular, and other systems, and related revival phenomena in condensed matter and optical systems.

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“…The tim e evolution is then given in term s o f the eigenenergies Ek by ty{t) -y^ ckuke'Ek'. (8) k Experim ents w here wave packets are constructed in sim ilar form to study quantum revivals are described in, for exam ple, [3,[23][24][25]. In general, revivals are observed when the wave packet is so constructed as to contain a large num ber o f energy levels centered around a highly w eighted one.…”

Section: The Lmg Modelmentioning

confidence: 99%

Time scales at quantum phase transitions in the Lipkin-Meshkov-Glick model

2015

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We report on quantum revivals and classical periodicities of wave packets centered around the ground state within the Lipkin-Meshkov-Glick model. Special attention is paid to the behavior at first-and second-order phase transitions. In line with previous studies, we find that away from criticality, characteristic times exhibit smooth, nonsingular behavior, but upon approaching the transition points they diverge as power laws with associated critical exponents. Finite-size effects are studied and the observed phenomenology is discussed in the framework of the time-energy uncertainty relation.

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Rydberg wave packets in molecules

Cited by 10 publications

References 72 publications

Heavy Rydberg states

Heavy Rydberg states

Quantum wave packet revivals

Time scales at quantum phase transitions in the Lipkin-Meshkov-Glick model

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