Coherent control in strongly driven multi-level systems: quantum vs classical features

Ivanov, Misha; Bartram, David; Smirnova, Olga

doi:10.1080/00268976.2012.679815

Cited by 4 publications

(9 citation statements)

References 13 publications

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“…As a final note we point to an interesting parallel [49] between bichromatically driven multilevel systems and the problem of molecular alignment and orientation on a plane. Assuming that the present analysis can be extended to this observation, our work hints at the possibility that for certain values of the orienting DC field and a range of aligning field strengths, irrespective of the angle between the two fields, coherent control should be ineffective.…”

Section: Discussionmentioning

confidence: 83%

One Versus Two Photon Control of Dynamical Tunneling: Influence of the Irregular Floquet States

Shukla

Keshavamurthy

2015

J. Phys. Chem. B

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A useful approach to control quantum processes involves driving systems with two colored laser fields and varying the relative phase between the fields to control the quantum interferences. A particularly interesting class of bichromatic control schemes involves the so-called M versus N-photon control that results in laser-induced symmetry breaking and leads to directed transport; however, recent studies have shown that the mechanism of laser-induced symmetry breaking has a common classical and quantum origin. In this context, a relevant question is the extent to which such a detailed classical-quantum correspondence holds if the process to be controlled involves quantum tunneling. In this work, we address this issue in terms of controlling dynamical tunneling between field-induced islands of stability in the classical phase space of a model system, a periodically driven pendulum. This is also a paradigmatic model for Hamiltonian ratchets wherein the islands of stability, that is, nonlinear resonances, play a crucial role in the observed directed transport. We compute an appropriate control landscape for the process and show that despite breaking the relevant symmetries, there exist regions in the control landscape where the control fails. The lack of control can be understood in terms of the phase-space nature of the quantum Floquet states that participate in the dynamics of the initial wavepacket. We argue that robust regions of no control arise due to the phenomenon of chaos-assisted tunneling and comment on the possible influence of such regions on the directed transport in the model system.

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Section: Discussionmentioning

confidence: 83%

One Versus Two Photon Control of Dynamical Tunneling: Influence of the Irregular Floquet States

Shukla

Keshavamurthy

2015

J. Phys. Chem. B

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“…This basic mechanism is common to all classical and quantum descriptions of weak-field (nω + mω) coherent control 1,8,23 . It has led research to be primarily concerned with the magnitude of the terms giving rise to phase dependence and, in view of quantum-classical correspondence, whether this magnitude depends crucially on quantum effects such as tunneling 6 or conservation of parity 8 . In other words, the divide between quantum and classical control has been defined in terms of quantitative indicators only, indicators which require a comparison of classical and quantum model calculations as a means of assessing the importance of quantum features.…”

Section: Discussionmentioning

confidence: 99%

“…It is advantageous to make explicit the difference between the traditional understanding of the quantum character of coherent control and the view considered in this paper. It is commonly agreed that, in the perturbative limit, the properties of the driving fields and of the atomic or molecular system independently contribute to the response 1,6 . In multi-color laser-induced coherent control, for example, control via phase sensitivity emerges solely from cross terms containing products of the nω and mω driving field amplitudes.…”

Section: Discussionmentioning

confidence: 99%

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Certifying the quantumness of a generalized coherent control scenario

Scholak

Brumer

2014

The Journal of Chemical Physics

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We consider the role of quantum mechanics in a specific coherent control scenario, designing a "coherent control interferometer" as the essential tool that links coherent control to quantum fundamentals. Building upon this allows us to rigorously display the genuinely quantum nature of a generalized weak-field coherent control scenario (utilizing 1 vs. 2 photon excitation) via a Bell-CHSH test. Specifically, we propose an implementation of "quantum delayed-choice" in a bichromatic alkali atom photoionization experiment. The experimenter can choose between two complementary situations, which are characterized by a random photoelectron spin polarization with particle-like behavior on the one hand, and by spin controllability and wave-like nature on the other. Because these two choices are conditioned coherently on states of the driving fields, it becomes physically unknowable, prior to measurement, whether there is control over the spin or not.

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“…Hence, one can ask [35,36] whether 1 vs. N phase control can also be viewed as a classical interference phenomenon or, for example, as a system's collective response to shaped incident laser fields [37,38]. Related concerns are raised by a number of additional studies [39][40][41] that consider 1 vs. 2 photon phase control as an intrinsically classical phenomenon.…”

Section: Introductionmentioning

confidence: 99%

An Approach To “Quantumness” In Coherent Control

Scholak

Brumer

2017

Advances in Chemical Physics

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Developments in the foundations of quantum mechanics have identified several attributes and tests associated with the "quantumness" of systems, including entanglement, nonlocality, quantum erasure, Bell test, etc.. Here we introduce and utilize these tools to examine the role of quantum coherence and nonclassical effects in 1 vs. N photon coherent phase control, a paradigm for an all-optical method for manipulating molecular dynamics. In addition, truly quantum control scenarios are introduced and examined. The approach adopted here serves as a template for studies of the role of quantum mechanics in other coherent control and optimal control scenarios.

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Coherent control in strongly driven multi-level systems: quantum vs classical features

Cited by 4 publications

References 13 publications

One Versus Two Photon Control of Dynamical Tunneling: Influence of the Irregular Floquet States

One Versus Two Photon Control of Dynamical Tunneling: Influence of the Irregular Floquet States

Certifying the quantumness of a generalized coherent control scenario

An Approach To “Quantumness” In Coherent Control

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