Control of Quantum Dynamics by Laser Pulses: Adiabatic Floquet Theory

Guérin, S.; Jauslin, H. R.

doi:10.1002/0471428027.ch3

Cited by 118 publications

(142 citation statements)

References 0 publications

Supporting

Mentioning

141

Contrasting

Order By: Relevance

“…Many new phenomena, which are not available or difficult to observe with optical lasers operating in the nano-and picosecond regimes, arise in experiments with such pulses [6][7][8][9]. One of the main advantages here is that the high carrier frequencies allow one to directly access a few well-separated highly-excited electronic states of a system.…”

Section: Introductionmentioning

confidence: 99%

Photoionization of hydrogen atoms by coherent intense high-frequency short laser pulses: Direct propagation of electron wave packets on large spatial grids

2013

View full text Add to dashboard Cite

The time-dependent Schrödinger equation for the hydrogen atom and its interaction with coherent intense high-frequency short laser pulses is solved numerically exactly by propagating the singleelectron wave packets. Thereby, the wavefunction is followed in space and time for times longer than the pulse duration. Results are explicitly shown for 3 and 10 fs pulses. Particular attention is paid to identifying the effect of dynamic interference of photoelectrons emitted with the same kinetic energy at different times during the rising and falling sides of the pulse predicted in [Ph.V. Demekhin and L.S. Cederbaum, Phys. Rev. Lett. 108, 253001 (2012)]. In order to be able to see the dynamic interference pattern in the computed electron spectra, the photoelectron wave packet has to be propagated over long distances. Clearly, complex absorption potentials often employed to compute spectra of emitted particles cannot be used to detect dynamic interference. For the considered high-frequency pulses of 3 and 10 fs durations, this requires enormously large spatial grids. The presently computed photoionization and above-threshold ionization spectra are found to exhibit pronounced dynamic interference patterns. Where available, the patterns are in very good agreement with previously published results on the photoionization spectra which have been computed using a completely different method, thus supporting the previously made assumption that the above-threshold ionization processes are very weak for the considered pulse intensities and high carrier frequency. The quiver motion in space and time of a free electron in strong laser pulses is also investigated numerically. Finally, a discussion is presented of how fast the atom is ionized by an intense pulse.

show abstract

Section: Introductionmentioning

confidence: 99%

Photoionization of hydrogen atoms by coherent intense high-frequency short laser pulses: Direct propagation of electron wave packets on large spatial grids

2013

View full text Add to dashboard Cite

show abstract

“…1 (c). This model has been widely studied in many different contexts [47][48][49], as it is suitable for describing a three-level atom in a Λ configuration. Note that, in that case, the parameters ∆ 0 and ∆ 1 correspond to detunings between the energy levels and the frequencies of two external laser fields, which are generally regarded as the control fields, while λ and 0 are related to the bare energy splittings.…”

Section: B Multiple Avoided Crossingsmentioning

confidence: 99%

Time-optimal control fields for quantum systems with multiple avoided crossings

2015

View full text Add to dashboard Cite

We study time-optimal protocols for controlling quantum systems which show several avoided level crossings in their energy spectrum. The structure of the spectrum allows us to generate a robust guess which is time-optimal at each crossing. We correct the field applying optimal control techniques in order to find the minimal evolution or quantum speed limit (QSL) time. We investigate its dependence as a function of the system parameters and show that it gets proportionally smaller to the well-known two-level case as the dimension of the system increases. Working at the QSL, we study the control fields derived from the optimization procedure, and show that they present a very simple shape, which can be described by a few parameters. Based on this result, we propose a simple expression for the control field, and show that the full time-evolution of the control problem can be analytically solved.

show abstract

“…Several control strategies have already been proposed using, for instance, adiabatic passage techniques [14,15], factorizations of unitary operators [16] or optimal control schemes [7,17]. Here, we pursue another approach and we show that a sequence of short pulses of moderate intensity can be devised for reaching these target states.…”

Section: Introductionmentioning

confidence: 98%

Laser control for the optimal evolution of pure quantum states

et al. 2005

Self Cite

View full text Add to dashboard Cite

Starting from an initial pure quantum state, we present a strategy for reaching a target state corresponding to the extremum (maximum or minimum) of a given observable. We show that a sequence of pulses of moderate intensity, applied at times when the average of the observable reaches its local or global extremum, constitutes a strategy transferable to different control issues. Among them, post-pulse molecular alignment and orientation are presented as examples. The robustness of such strategies with respect to experimentally relevant parameters is also examined.

show abstract

Control of Quantum Dynamics by Laser Pulses: Adiabatic Floquet Theory

Cited by 118 publications

References 0 publications

Photoionization of hydrogen atoms by coherent intense high-frequency short laser pulses: Direct propagation of electron wave packets on large spatial grids

Photoionization of hydrogen atoms by coherent intense high-frequency short laser pulses: Direct propagation of electron wave packets on large spatial grids

Time-optimal control fields for quantum systems with multiple avoided crossings

Laser control for the optimal evolution of pure quantum states

Contact Info

Product

Resources

About