Controlled excitation of selected regions inside dielectric media

Csesznegi, J. R.; Clark, B. K.; Grobe, R.

doi:10.1103/physreva.57.4860

Cited by 12 publications

(7 citation statements)

References 33 publications

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“…Circles indicate the transverse width (along the yaxis) and triangles indicate the longitudinal width (along the x-axis). At most times, the Dirac wavepacket broadens more slowly than the corresponding Schrödinger wavepacket [4,5,18]. However, over a specific limited time interval, Dirac's theory indicates the presence of a longitudinal width greater than the Schrödinger prediction.…”

Section: Evolution Of the Wavepacketmentioning

confidence: 95%

“…We also observe that the spreading of the wavepacket is quite homogeneous in both directions, as expected, because it is known that the spreading of a non-relativistic Gaussian in a driven electromagnetic field, within the dipole approximation, is the same in every direction. It is also possible to find this homogeneous evolution of the spreading in [5] when they study the dynamics of a wavepacket in a homogeneous magnetic field. Each trajectory is viewed using nine different plots, at intervals of an eighth of a period.…”

Section: Evolution Of the Wavepacketmentioning

confidence: 95%

“…Apart from some early work [1], the apparent impossibility of finding analytical solutions of the Dirac equation for a driven atom has caused most theoretical efforts to focus on numerical simulation. For example, studies have been published comparing relativistic and non-relativistic dynamics in several situations, such as harmonic generation [2,3], dynamics due to the presence of magnetic fields [4,5] and processes in heavy-ion collisions [6,7]. Due to the influence of the magnetic field on the spin, real dynamics of a relativistic electron implies the use of a three-dimensional (3D) numerical grid, making the study extremely computationally demanding.…”

Section: Introductionmentioning

confidence: 99%

“…Our goal is to study relativistically driven electrons in a three-dimensional space. This is found to be crucial, not only for relativistic situations, where two-dimensional numerical simulations have recently been carried out [5,8,9], but also for non-relativistic problems where the influence of the magnetic field could be very important [10].…”

Section: Introductionmentioning

confidence: 99%

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Evolution of a relativistic wavepacket describing a free electron in a very intense laser field

Román

Roso

Reiss

2000

J. Phys. B: At. Mol. Opt. Phys.

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Section: Evolution Of the Wavepacketmentioning

confidence: 95%

Section: Evolution Of the Wavepacketmentioning

confidence: 95%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Evolution of a relativistic wavepacket describing a free electron in a very intense laser field

Román

Roso

Reiss

2000

J. Phys. B: At. Mol. Opt. Phys.

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“…Can one use lasers to control the final state of excitation of the medium after interaction with the two pulses? The surprising answer is yes [19,20]. As the state of the medium is coupled to the instantaneous amplitudes of the fields via the trapped state relation, we can therefore obtain analytically the temporal and spatial evolution of the medium.…”

Section: Control Of the Excitation State Of Three-level Mediamentioning

confidence: 99%

Adiabatic Dynamical Control Physics of Dielectric Media

Grobe

1998

Acta Phys. Pol. A

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We summarize recent developments in the area of the coherent propagation of laser pulses through dielectric media. We will show that the principle of dynamical adiabaticity opens new avenues to control the non-perturbative . and resonant interaction between two laser pulses and a three-level medium. Examples include the formation of stable wave forms that can travel through optical dielectric media in a loss-free manner with arbitrary pulse shapes, novel possibilities to store optical information in dielectric media in the form of spatially dependent excitations and techniques to exploit this information to control laser pulse envelopes.PACS numbers: 42.65.Ηw, 42.65.Re Nonlinear optics and adiabatic dynamical control physicsIn order to describe the spatial and temporal evolution of electromagnetic radiation pulses in dielectric media, the Maxwell equations have to be solved together with the quantum Liouville or Schrödinger equation. The Maxwell equations determine how the electric field (of the laser pulse) evolves as a function of time and space. Its behavior is controlled by the macroscopic polarization of the dielectric medium, which serves as the "source term" in the Maxwell equations. The macroscopic polarization is proportional to the product of the dipole moment and the number density N of the atoms in the medium. The temporal evolution of the polarization is determined by the Liouville equation of the atoms that are driven by the external field. This itself would not be a major complication for the theoretical analysis. If there was just a single differential equation for the polarization, one could use this equation to eliminate the polarization from the Maxwell equations and one would not need to solve for the entire complicated atomic dynamics.The key problem is that in general there is not just one single differential equation for the polarization but a coupled set of equations that contain several (auxiliary) quantities, such as the inversion or the population of the electronic states that need to be solved simultaneously. A non-perturbative solution of the combined Maxwell and Schrödinger equations is therefore in most cases analytically inaccessible and even numerically it is a demanding computational task. To master this challenge in a computationally more feasible way, it would be helpful to have a more direct relation between the electric field and the polarization.(87)

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