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Transient dynamics in electromagnetically induced transparency

Jamal Mohammad Khani

Published Jan 1, 2024• 0 citations
OpenAlex

Abstract

Electromagnetically Induced Transparency (EIT) has proven to be an invaluable resource for numerous applications in quantum technology, specifically in quantum memories, quantum repeaters, and quantum sensors. EIT also has significant applications in fundamental physics and nonlinear optics. Given that EIT is a foundational component of future quantum technology, a comprehensive understanding of its parameters is essential for the development of future devices. This thesis focuses on the transient dynamics of EIT, specifically examining oscillations in the absorption of the Probe Field (PF) as a means to determine the decoherence of the ground states. Transient EIT has been explored in previous theoretical and experimental studies across various systems, including Cold Atoms (CAs) and hot vapor media. Here, transient EIT is studied theoretically, numerically, and experimentally. Parameter exploration has been conducted to understand the effects of different parameters on the transient behavior of EIT and to identify which decoherence mechanisms have the most significant impact on the quality of EIT. Experimentally, we explored a hot atomic vapour of, naturally abundant Rubidium (Rb) atoms. Additionally, progress towards constructing a CAs system, using a Magneto-Optical Trap (MOT) from scratch was made, opening the door to future studies of this system.

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Electromagnetically Induced Transparency (EIT) has proven to be an invaluable resource for numerous applications in quantum technology, specifically in quantum memories, quantum repeaters, and quantum sensors. EIT also has significant applications in fundamental physics and nonlinear optics. Given that EIT is a foundational component of future quantum technology, a comprehensive understanding of its parameters is essential for the development of future devices. This thesis focuses on the transient dynamics of EIT, specifically examining oscillations in the absorption of the Probe Field (PF) as a means to determine the decoherence of the ground states. Transient EIT has been explored in previous theoretical and experimental studies across various systems, including Cold Atoms (CAs) and hot vapor media. Here, transient EIT is studied theoretically, numerically, and experimentally. Parameter exploration has been conducted to understand the effects of different parameters on the transient behavior of EIT and to identify which decoherence mechanisms have the most significant impact on the quality of EIT. Experimentally, we explored a hot atomic vapour of, naturally abundant Rubidium (Rb) atoms. Additionally, progress towards constructing a CAs system, using a Magneto-Optical Trap (MOT) from scratch was made, opening the door to future studies of this system.
Electromagnetically Induced Transparency (EIT) has become an invaluable resource for numerous applications in quantum information theory, fundamental physics, nonlinear optics and precision metrology. This thesis is concerned with an extension to EIT: double- EIT, in which two separate optical fields experience EIT due to a coherence between a common ground state. Double EIT has appeared as the basis for a number of theoretical proposals but has yet to be demonstrated and analyzed experimentally. In this thesis, a double-EIT system is experimentally implemented and analyzed, using a hot vapor of rubidium-87 atoms. The interplay between the two signal fields is studied and properties are found to emerge which may prove useful for application. An application of double EIT which in principle allows large nonlinear interactions between light pulses as low as several photons per atomic cross section is discussed. Progress towards a physical demonstration of this effect is reported and prospects for further work in this direction are then described.
We report the experimental observation of transient dynamics in the weak probe coherence under electromagnetically induced transparency (EIT) in hot Rb atoms with a buffer gas. By modulating the control beam in a non-adiabatic fashion, we have examined the corresponding changes in probe transparency. Upon switching the control beam on, the system evolves through multiple dynamical processes before reaching steady-state transparency. We have decoded each of those dynamical processes region by region and notably observed two-photon damped Rabi oscillations, Raman gain, and direct dark state rotation during this evolution. For the theoretical insight, we have numerically solved the time-dependent density matrix elements for a Λ system, incorporating the buffer gas effects phenomenologically into these equations. Our findings provide a detailed understanding of transient and steady-state dynamics in EIT systems, highlighting the interplay between coherent and incoherent processes and the role of the buffer gas in modulating the evolution. The buffer medium extended relevant timescales, thus enhancing the coherence and stability of the atomic system, which are key factors for practical implementations in precision metrology and quantum optics.
This study explores electromagnetically induced transparency (EIT) with a focus on the influence of external magnetic fields, examining effects such as decoherence, Faraday rotation, coherence decay, and signal detuning. This model extends previous analyses by introducing dimensions of coherence decay across atomic densities, nonlinear Faraday rotation dependencies, and transmission responses to detuning. The findings show strong agreement with experimental observations in rubidium vapor systems and provide new insights relevant to applications in quantum memory, magnetic sensing, and optical modulation. Additionally, an analogy to classical RLC circuits is employed to offer an intuitive framework for understanding decoherence’s impact on EIT.
This thesis presents theoretical derivations and experimental demonstrations of Kerr optical nonlinearities and their dynamics. The Kerr nonlinearity studied is based on electromagnetically induced transparency (EIT), and is known for having an unusually large cross-phase modulation (XPM) [1]. Also, quantum nondemolition (QND) measurements of photon number using the EIT Kerr nonlinearity are discussed. We first discuss the EIT line shapes in hot atomic vapors both with and without buffer gasses, and for the specific case of EIT line shapes on the D1 line of rubidium. Using a Bloch-vector formalism to describe EIT, we derive new expressions describing the dynamical evolution of the EIT Kerr nonlinearity and the rise-time of the EIT Kerr effect. The theory of the EIT Kerr dynamics is confirmed by experiments using hot rubidium vapor in a buffer gas. These experimental observations confirm that the rise-time of the EIT Kerr effect is linearly proportional to the optical thickness of the EIT medium and inversely proportional to the width of the EIT transparency resonance.
Electromagnetically Induced Transparency is an effect that allows light to propagate through an otherwise opaque material. Due to the dispersion properties of the EIT system, it also slows the information carried on the sideband frequencies of a light beam. The effect can also be used to store information in an atomic medium. It was therefore proposed that EIT systems can be applied in optical cicuits, specifically with regard to quantum information processing where it is necessary to delay, or store quantum states of light. Hence it is necessary to understand how EIT systems influence the quantum state of a light beam and whether EIT systems can ever have the potential to delay and store quantum information at the quantum noise limit. ¶ This thesis examines the transfer of an optical signal at the sideband frequencies through an EIT medium. A comprehensive characterisation of an EIT system in terms of delay and signal transmission is performed. This measurement technique provides data on EIT performance over a range of signal frequencies and a range of experimental parameters. Experiments were conducted with both pure Rubidium vapour and Rubidium vapour mixed with a noble gas. ¶ Studies have been made into a new system of measurement that will allow delay, attenuation and added noise spectra to be assessed via a single-shot measurement.
This thesis presents developmental work on the existing magneto-optical trap (MOT) system and novel studies of coherence effects. The developmental work was carried out on the experimental apparatus used previously in this laboratory in order to perform experiments to study coherence effects in three- and four-level rubidium systems in the MOT. This developmental work includes the upgrading and installation of new laser systems, the improvement of the MOT, the installation of data acquisition hardware and software, and the commissioning of a new “second generation” MOT. As part of our studies of coherence effects, we present a wide-ranging theoretical and experimental study of non-adiabatic transient phenomena in a A system which exhibits electromagnetically induced transparency when a strong coupling field is rapidly switched on or off using a Pockels cell. The theoretical treatment uses a Laplace transform approach as well as standard numerical methods to solve the time-dependent density matrix equation. The results show clear Rabi oscillations and transient gain without population inversion of a weak probe in parameter regions not previously studied, and provide insight into the transition dynamics between bare states and dressed states. Experimental studies of a doubly driven V system are also reported, together with a theoretical dressed-state analysis of such systems. The expected three-peak spectrum is explored for various coupling field strengths and detunings. In all this work we have found good agreement between the theory and the experimental spectra once light shifts and uncoupled absorption in the rubidium system are taken into account.