Controlling the shape of a quantum wavefunction

Weinacht, T. C.; Ahn, Jaewook; Bucksbaum, P. H.

doi:10.1038/16654

Cited by 392 publications

(283 citation statements)

References 20 publications

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“…In previous work we demonstrated control of simple quantum systems using feedback [13]. Now we wish to control more complex systems where the optimal pulse shape is not known a priori.…”

Section: The Learning Algorithm a Constructing The Algorithmmentioning

confidence: 99%

Coherent control using adaptive learning algorithms

et al. 2001

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We have constructed an automated learning apparatus to control quantum systems. By directing intense shaped ultrafast laser pulses into a variety of samples and using a measurement of the system as a feedback signal, we are able to reshape the laser pulses to direct the system into a desired state. The feedback signal is the input to an adaptive learning algorithm. This algorithm programs a computer-controlled, acousto-optic modulator pulse shaper. The learning algorithm generates new shaped laser pulses based on the success of previous pulses in achieving a predetermined goal.

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“…In previous work we demonstrated control of simple quantum systems using feedback [13]. Now we wish to control more complex systems where the optimal pulse shape is not known a priori.…”

Section: The Learning Algorithm a Constructing The Algorithmmentioning

confidence: 99%

Coherent control using adaptive learning algorithms

et al. 2001

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“…There have been several experimental realizations of electronic wave-packets in atoms [4,5,11,25,27,28], either along the pure radial coordinate or even along angular coordinates too. However, all these wave-packets dispersed rather quickly.…”

Section: A Simple Example: the One-dimensional Hydrogen Atommentioning

confidence: 99%

“…Apart from their possible practical applications (for example, for the purpose of quantum control of atomic or molecular fragmentation processes [28], or for information storage [35][36][37][38] in a confined volume of (phase) space for long times), they show the fruitful character of classical nonlinear dynamics. Indeed, here the nonlinearity is not a nuisance to be minimized, but rather the essential ingredient.…”

Section: The Interest Of Non-dispersive Wave-packetsmentioning

confidence: 99%

Non-dispersive wave packets in periodically driven quantum systems

2002

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With the exception of the harmonic oscillator, quantum wave packets usually spread as time evolves. This is due to the non-linear character of the classical equations of motion which makes the various components of the wave packet evolve at various frequencies. We show here that, using the non-linear resonance between an internal frequency of a system and an external periodic driving, it is possible to overcome this spreading and build non-dispersive (or non-spreading) wave packets which are well localized and follow a classical periodic orbit without spreading. From the quantum mechanical point of view, the non-dispersive wave packets are time periodic eigenstates of the Floquet Hamiltonian, localized in the non-linear resonance island. We discuss the general mechanism which produces the non-dispersive wave packets, with emphasis on simple realization in the electronic motion of a Rydberg electron driven by a microwave field. We show the robustness of such wave packets for a model one-dimensional as well as for realistic three-dimensional atoms. We consider their essential properties such as the stability versus ionization, the characteristic energy spectrum and long lifetimes. The requirements for experiments aimed at observing such non-dispersive wave packets are also considered. The analysis is extended to situations in which the driving frequency is a multiple of the internal atomic frequency. Such a case allows us to discuss non-dispersive states composed of several, macroscopically separated wave packets communicating among themselves by tunneling. Similarly we briefly discuss other closely related phenomena in atomic and molecular physics as well as possible further extensions of the theory. (C) 2002 Elsevier Science B.V. All rights reserved

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“…In the case of neutral atoms, the requirement that the gate operation time is short compared to the typical time of decoherence mechanisms, including spontaneous emission, collisions, ionization of the Rydberg states, transitions induced by black body radiation, or motional excitation of the atoms trapped in an optical lattice, leads to the search of state-selective Rydberg excitation schemes using femtosecond pulses. Despite the fact that excitation to a single n-Rydberg level requires nanosecond or cw lasers with a narrow bandwidth, coherent control tools as control algorithms to optimally shape femtosecond laser pulses have been successfully used to address a single transition [6,7], as well as multipulse schemes using 150 fs pulses, which alone would populate about ten n-Rydberg levels, have shown the ability to selectively populate a single or a few levels [8,9]. These different schemes address the excitation of relatively high Rydberg levels, typically of principal quantum numbers as n ∼ 30.…”

Section: Introductionmentioning

confidence: 99%

Control of rubidium low-lying Rydberg states with trichromatic femtosecond π pulses for ultrafast quantum information processing

2017

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We propose an ultrafast femtosecond time scale trichromatic π-pulse illumination scheme for coherent excitation and manipulation of low-lying Rydberg states in rubidium. Selective population of nP 3/2 levels with principal quantum numbers n 12 using 75 fs laser pulses is achieved. The density-matrix equations of a four-level ladder system beyond the rotating-wave approximation have to be solved to clarify the balance between the principal quantum numbers, the duration of the laser pulses and the associated ac-Stark effects for the fastest optimal excitation. The mechanism is robust for femtosecond control using different level configurations for applications in ultrafast quantum information processing and spectroscopy.

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Controlling the shape of a quantum wavefunction

Cited by 392 publications

References 20 publications

Coherent control using adaptive learning algorithms

Coherent control using adaptive learning algorithms

Non-dispersive wave packets in periodically driven quantum systems

Control of rubidium low-lying Rydberg states with trichromatic femtosecond π pulses for ultrafast quantum information processing

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