Strong-field control landscapes of coherent electronic excitation

Bayer, Tim; Wollenhaupt, M.; Baumert, Thomas

doi:10.1088/0953-4075/41/7/074007

Cited by 51 publications

(43 citation statements)

References 65 publications

(99 reference statements)

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“…For example, in one numerical study, optimizations of a composite objective relevant to adiabatic quantum computation [187] encountered local traps. In some OCEs, the cost functional is formulated as a ratio between two objectives (i.e., J = J 1 /J 2 ), and local traps can appear on the corresponding control landscapes of J as well [188][189][190]. Thus, a composite objective may introduce a severe constraint, which can prevent the achievement of a globally optimal value of the individual objective and/or the composite objective, even when other constraints are well-managed.…”

Section: F Composite Objectivesmentioning

confidence: 99%

Searching for quantum optimal controls under severe constraints

Riviello¹,

Tibbetts²,

Brif³

et al. 2015

Phys. Rev. A

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The success of quantum optimal control for both experimental and theoretical objectives is connected to the topology of the corresponding control landscapes, which are free from local traps if three conditions are met: (1) the quantum system is controllable, (2) the Jacobian of the map from the control field to the evolution operator is of full rank, and (3) there are no constraints on the control field. This paper investigates how the violation of assumption (3) affects gradient searches for globally optimal control fields. The satisfaction of assumptions (1) and (2) ensures that the control landscape lacks fundamental traps, but certain control constraints can still introduce artificial traps. Proper management of these constraints is an issue of great practical importance for numerical simulations as well as optimization in the laboratory. Using optimal control simulations, we show that constraints on quantities such as the number of control variables, the control duration, and the field strength are potentially severe enough to prevent successful optimization of the objective. For each such constraint, we show that exceeding quantifiable limits can prevent gradient searches from reaching a globally optimal solution. These results demonstrate that careful choice of relevant control parameters helps to eliminate artificial traps and facilitate successful optimization.

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Section: F Composite Objectivesmentioning

confidence: 99%

Searching for quantum optimal controls under severe constraints

Riviello¹,

Tibbetts²,

Brif³

et al. 2015

Phys. Rev. A

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show abstract

“…Deconstruction of these pulses, to determine how they achieve their goals, has proven to be a difficult and arduous task. From studying the control landscape [15,24,25] to probing the role of chirp [26] to isolating specific degrees of freedom [15,24,26,27], success has been unsatisfying at best. While compelling reasons can be given on a case-by-case basis, finding a universal linchpin-or even determining if one exists-has been difficult.…”

Section: Introductionmentioning

confidence: 99%

Ionization enhancement and suppression by phase-locked ultrafast pulse pairs

Foote

Lin

et al. 2017

Phys. Rev. A

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We present the results of a study of ionization of Xe atoms by a pair of phase-locked pulses, which is characterized by interference produced by the twin peaks. Two types of interference are considered: ordinary optical interference, which changes the intensity of the composite pulse and thus the ion yield, and a quantum interference, in which the excited electron wave packets interfere. We use the measured Xe + yield as a function of the temporal delay and/or relative phase between the peaks to monitor the interferences and compare their relative strengths. We model the interference with a pulse intensity function and by calculating the ionization yield with the time-dependent Schrödinger equation. Our results provide insight into optimal control pulses generated with learning algorithms. The results also show that the relative phase between peaks of a control pulse, along with small features such as distortions and imperfections in the wings of an ideal shape, play a significant role in the control process.

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“…[49] On the other hand, several schemes for population transfer with sequences of strong pulses could be designed as strong-field analogs in electronic potentials of adiabatic passage between quantum levels. [50] Adiabatic passage by light-induced potentials [51][52][53][54][55][56][57][58] (APLIP), chirped adiabatic rapid passage [59][60][61] (CARP), selective population of dressed states [62][63][64][65] (SPODS), rapid vibrational inversion via time-gating [29] or Raman chirped adiabatic passage [66][67][68][69][70][71] (RCAP) serve as examples.…”

Section: Introductionmentioning

confidence: 99%

Molecular events in the light of strong fields: A light‐induced potential scenario

Chang

Solá

Shin

2016

Int J of Quantum Chemistry

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A new perspective on how to manipulate molecules by means of very strong laser pulses is emerging with insights from the so-called light-induced potentials, which are the adiabatic potential energy surfaces of molecules severely distorted by the effect of the strong field. Different effects appear depending on how the laser frequency is tuned, to a certain electronic transition, creating light-induced avoided crossings, or very off-resonant, generating Stark shifts. In the former case it is possible to induce dramatic changes in the geometry and redistribution of charges in the molecule while the lasers are acting and to fully control photodissociation reactions as well as other photochemical processes. Several theoretical proposals taken from the work of the authors are reviewed and analyzed showing the unique features that the strong-laser chemistry opens to control the transient properties and the dynamics of molecules.

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Strong-field control landscapes of coherent electronic excitation

Cited by 51 publications

References 65 publications

Searching for quantum optimal controls under severe constraints

Searching for quantum optimal controls under severe constraints

Ionization enhancement and suppression by phase-locked ultrafast pulse pairs

Molecular events in the light of strong fields: A light‐induced potential scenario

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