Recall and Creation of Spatial Excitation Distributions in Dielectric Media

Csesznegi, J. R.; Grobe, R.

doi:10.1103/physrevlett.79.3162

Cited by 30 publications

(24 citation statements)

References 15 publications

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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%

“…Is there a method which allows us to retrieve the information stored in the spatially excited medium? It turns out that this can be done [19] if we inject a laser pulse with a constant amplitude field through the medium. As we will see below, a second laser field will be created inside the medium and its temporal profile at output reflects the original medium's quantum mechanical state as described by G(z).…”

Section: Optical Properties Of Media With Space-dependent Excitationsmentioning

confidence: 99%

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

confidence: 99%

Section: Optical Properties Of Media With Space-dependent Excitationsmentioning

confidence: 99%

Adiabatic Dynamical Control Physics of Dielectric Media

Grobe

1998

Acta Phys. Pol. A

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“…Some very interesting experiments using these systems have been performed [1,11,12,13,14,15], demonstrating the potential for applications of these phenomena. In a similar area of studies, Grobe and co-workers have shown that a dielectric medium with initial spatial excitation can have several novel properties [16]. In this work, we study the potential for nonlinear conversion between two laser pulses using a Λ-type system with initial spatial excitation.…”

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confidence: 99%

“…As it has been analyzed in detail by Csesznegi et al [16] any desired coherent superposition of such type can be created with the use of stimulated Raman adiabatic passage (STIRAP) [18]. This technique uses two laser pulses, ordered in a counterintuitive sequence, that are applied in the preparation stage to the medium.…”

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Enhanced nonlinear generation in a three-level medium with spatially dependent coherence

Paspalakis

2002

Opt. Lett.

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We consider a method for efficient parametric generation of a laser pulse. A single laser field is injected to a three-level medium which has two lower states and one excited state. The lower states are prepared initially in a position-dependent coherent superposition state. It is shown that by proper choice of the position dependence of the superposition along the direction of propagation, the incoming field can be converted completely to a new field.The problem of resonant nonlinear optics with high efficiency using phase-coherent media has attracted a lot of interest recently [1]. The usual systems used for this purpose are the three-level Λ-type system [2,3,4,5,6], and various configurations of multi-level systems [7,8,9,10]. Some very interesting experiments using these systems have been performed [1,11,12,13,14,15], demonstrating the potential for applications of these phenomena. In a similar area of studies, Grobe and co-workers have shown that a dielectric medium with initial spatial excitation can have several novel properties [16]. In this work, we study the potential for nonlinear conversion between two laser pulses using a Λ-type system with initial spatial excitation. We show that the existence of a spatially dependent coherence can lead to parametric generation of a new laser pulse with unity conversion efficiency.The quantum system under consideration is shown in Fig. 1. The spatio-temporal dynamics of the system can be described by the coupled Maxwell-Schrödinger equations in the rotating wave, dipole, and slowly varying envelope approximationswithandT . These equations are written in the local frame where ζ = z and τ = t − z/c. Here, Ω n (ζ, τ ) are the Rabi frequencies and δ n are the laser field detunings from resonance. Also, γ denotes the decay rate of the excited state out of the system and a n the propagation constant.We assume that the system is initially prepared in a superposition of the lower levels, i.e. we assume a phaseonium medium which was first proposed by Scully [17], such thatwith b 1 (ζ) and b 2 (ζ) being, in general, complex satisfying |b 1 (ζ)| 2 + |b 2 (ζ)| 2 = 1. As it has been analyzed in detail by Csesznegi et al. [16] any desired coherent superposition of such type can be created with the use of stimulated Raman adiabatic passage (STIRAP) [18]. This technique uses two laser pulses, ordered in a counterintuitive sequence, that are applied in the preparation stage to the medium. The shape of these pulses [16] will determine the specific form of b 1 (ζ) and b 2 (ζ). We also assume that the two-photon resonance condition, δ 1 = δ 2 = δ, is satisfied. If the excited state |0 decays rapidly and the laser-matter interaction is weak, so that the following relations |Ω n | ≪ γ, γτ ≫ 1, |Ω n | 2τ ≪ γ are satisfied, with τ being a characteristic pulse length, the approximate solution of Eq. (1a) is [2,10] and the propagation equation for the laser fields, Eqs. (1b), reduce towithHere, α n = a n /(δ + iγ/2) and the vector of the Rabi frequencies is given byIn this work we restrict...

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