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arXiv:1605.06870

Theory of storage and retrieval of intense-broadband pulses at room temperature: analytical and numerical solutions

Rodrigo Gutiérrez–Cuevas

Published May 23, 2016• 0 citations
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Abstract

We analyze the storage and retrieval of intense-broadband pulses with the added effects of Doppler broadening and detuning in a $Λ$ configuration. We compute analytical solutions via the inverse scattering technique and show how the signal field is transferred to a spin-wave in the atomic medium and later retrieved by the interaction of a control pulse. Due to the intensity of the pulses, the pulse area (as defined for self-induced transparency) plays a key role in the interaction, as it determines the location of the spin wave within the medium. Additionally, we compare our results to non-ideal conditions by considering pulses of finite length and the effect of spontaneous emission.

DOI
10.48550/arxiv.1605.06870

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We analyze the storage and retrieval of intense-broadband pulses with the added effects of Doppler broadening and detuning in a ΛΛΛ configuration. We compute analytical solutions via the inverse scattering technique and show how the signal field is transferred to a spin-wave in the atomic medium and later retrieved by the interaction of a control pulse. Due to the intensity of the pulses, the pulse area (as defined for self-induced transparency) plays a key role in the interaction, as it determines the location of the spin wave within the medium. Additionally, we compare our results to non-ideal conditions by considering pulses of finite length and the effect of spontaneous emission.
We investigate whether it is possible to store and retrieve an intense probe pulse using a medium that can be modeled as a set of atoms with the relevant energy levels in $\ensuremath{\Lambda}$ configuration. We demonstrate that it is indeed possible to store and retrieve the probe pulses that are not necessarily weak. We find that the retrieved pulse remains a replica of the original pulse, although there is overall broadening and loss of the intensity. The loss of intensity can be understood in terms of the dependence of absorption on the intensity of the probe. Our calculations include the dynamics of the control field, which becomes especially important as the intensity of the probe pulse increases. We use the adiabatic theory of Grobe et al. [Phys. Rev. Lett. 73,73,73, 3183 (1994)] to understand our numerical results on the storage and retrieval of light pulses at moderate powers.
We consider storage and retrieval of light based on electromagnetically induced transparency in an atomic medium using nonadiabatic switching of a control field. We derive various conditions for writing (and reading) the light information to (and from) the atomic coherence. We obtain an analytical solution for the retrieval of the stored pulse that is in excellent agreement with the full numerical results. We identify the origin of distortion at the output and derive a condition to correct the distortions by manipulating the retrieval process.
Theoretical analysis and a full numerical simulation of the electromagnet ically induced transparency model are performed under detuning conditions for a closed three_level ultracold atomic system in which a signal field can be stored and retrieved. Numerical results confirm the theory that the system can be prep ared in dark states only under resonant conditions between the fields and the a tomic transitions. The signal field is partially stored in the ultracold atomic medium with the increase of detuning and an enhanced negative group velocity of t he physically vanishing signal pulse appears. In the case of a symmetrical detun ing (red or blue detuning), no remarkable changes of the storage process occur.
The transient dynamics of electromagnetically induced transparency (EIT) are fundamental to understanding coherent light–atom interactions and the advancement of quantum technologies such as optical switching and quantum memory. However, in room-temperature atomic vapors, Doppler broadening significantly alters these dynamics, yet a comprehensive understanding of its impact on the transient EIT response remains lacking. In this study, we combine analytical and numerical methods to investigate the absorption dynamics of a weak probe field in a three-level Λ-type system driven by a strong coupling field, based on the optical Bloch equations and Laplace transform techniques. Our results show that the transient response is highly sensitive to both the atomic spontaneous emission rate and the Rabi frequency of the coupling field. Increasing the coupling field intensity not only accelerates the approach to steady state but also induces oscillatory dynamics and negative absorption. Under Doppler broadening, the time required to reach steady state increases by approximately three orders of magnitude compared to the Doppler-free case—an effect that is surprisingly insensitive to temperature variations across the 100–400 K range. Moreover, restoring a short steady-state time under broadened conditions necessitates increasing the coupling laser intensity by two orders of magnitude. These findings provide key insights into the influence of Doppler broadening on coherent transient processes and offer practical guidelines for the design of room-temperature atomic devices, including quantum memories and optical modulators.
By solving the self-consistent system of Maxwell and density-matrix equations in the case where the time of relaxations to the ground state is much shorter than the pulse duration we derive an analytical solution for the probe pulse propagation. We obtain an excellent consistency of our analytical solution with direct numerical integration. We investigate the asymptotic behavior of analytical solution and show that under certain conditions it passes to the well-known dark-state polariton propagation regime. We analyzed the dynamics of propagation and, in particular, explain the fact that in the well-known experiments only fractions of pulses were stored.