Analytic solution to N vs. M photon phase control in an open two-level system

Han, Heekyung; Brumer, Paul

doi:10.1016/j.cplett.2005.02.094

Cited by 7 publications

(4 citation statements)

References 28 publications

(24 reference statements)

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“…From the mathematical perspective, standard treatment of resonant or near-resonant electronic transitions [as in the example shown in Figure 1 is not directly apparent in the RWA, the relative phase between the two fields does enter the effective Rabi frequency, see e.g. [1]. Almost no room for 'quantum' in 'quantum control' seems to be left.…”

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confidence: 97%

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

Ivanov¹,

Bartram²,

Smirnova³

2012

Molecular Physics

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confidence: 97%

“…One of the canonical scenarios, shown in Figure 1 and studied in detail from the time-domain perspective in [1], is often described in terms of Young's double slit experiment. The two 'slits' correspond to the two different pathways leading to the same final state.…”

mentioning

confidence: 99%

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

Ivanov¹,

Bartram²,

Smirnova³

2012

Molecular Physics

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“…Then an approximate equation for the excited-state population amplitude c j ͑t͒ is derived as a sum of the one-photon and three-photon terms: 3,26,30 c j ͑t͒ Ϸ ͑p 3 ͑t͒ + M 3 1 ͑t͒͒c 0 ͑t = 0͒. ͑16͒…”

Section: Phenomenological Approachmentioning

confidence: 99%

Phase control over decaying molecular states in intense laser pulses

Pegarkov

2005

The Journal of Chemical Physics

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A time-dependent approach to study phase control over molecular photoabsorption, provided by intense laser pulses, is elaborate. The method allows for the decay linewidth of molecular states and frequency bandwidth of the controlling laser field, and can be applied in weak and strong laser fields where the perturbation theory is invalid. It is shown that a frequency mismatch between the fundamental laser wave and its third harmonic can destroy control. For the example of the one-photon versus three-photon control a simple picture of interference from two monochromatic absorption pathways is not enough to explain phase control and one needs to consider a nonlinear temporal interference of multiquantum transitions. In the perturbation-theory limit an elegant generalization of the famous Shapiro-Hepburn-Brumer equation for the one-photon versus three-photon control is derived. Various numerical calculations illustrate the dependence of phase control on molecular linewidth, fundamental laser wavelength, pulse duration, and peak intensity. It is obtained, that the one-photon versus three-photon control is productive if the molecular state populations, individually produced by each laser wave, have beats of approximately the same frequency. The calculations demonstrate that an enough intense optical pulse can suppress molecular decay and may be used in order to keep stable the state population of a decaying molecule for a long time. The available experimental results for the one-photon versus three-photon control over simple and large polyatomic molecules are analyzed and recommendations for the experimental improvement of control are formulated.

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“…However, phase sensitivity and nonadditivity can also be of classical origin arising, for example, in transport processes [34]. 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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Analytic solution to N vs. M photon phase control in an open two-level system

Cited by 7 publications

References 28 publications

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

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

Phase control over decaying molecular states in intense laser pulses

An Approach To “Quantumness” In Coherent Control

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