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Coherent light-matter interactions with potassium atoms

Andreas Lampis

Published Jan 1, 2017• 1 citation
Publisher

Abstract

This thesis presents experimental work undertaken towards realising a system composed of magneto-optically-trapped potassium-39 atoms (39K MOT) enclosed in a ring cavity. The length of the cavity is 9.51 (5) cm and consequently its volume is big compared to cavities used for cavity quantum electrodynamics experiments, operating in the single-atom regime. As such, in order to enter a regime where the light-matter interactions are strong, thousands of atoms have to collectively interact with the mode of the cavity. We achieve strong interactions with potassium atoms for the first time, after 4.36(3) x 104atoms were overlapped with the cavity mode. The signature of our system lying in the collective strong coupling regime was the observation of the splitting and avoided crossing of the normal modes, revealing a coupling strength constant G = 2π x 19.1(1.6) MHz. \n \nThe thesis also discusses the application of the eltectromagnetically-induced transparency (EIT) technique to control the group index of refraction (ng) of atomic ensembles. We firstly apply EIT in the Λ configuration, in a heated vapour cell of potassium. This helped us to better understand the underlying fundamentals of the technique, before ultimately applying it in the (main) cold atoms experiment. Deeply sub-natural EIT features have been achieved, for which we calculate ng as high as 6330(160). Furthermore, by performing a novel measurement of the circular dichroism (and thus birefringence). We observed greater anisotropy when the weak probe and strong coupling beams, which participate in the formation of the EIT system. have lin∥ lin rather than \nlin ⊥ linpolarisation. \n \nBy optimising the temperature and optical depth of the 39K MOT, EIT investigations were made possible with the cold atoms. While a splitting of the absorption line was observed at high coupling beam powers, no EIT resonances were observed when the coupling power was reduced. Our measurements imply that the EIT signal is compromised by decoherence factors, such as the inhomogeneity of the magnetic field across the atomic cloud. Eliminating decoherence and achieving EIT in the strongly interacting atom-cavity system will enable studies with applications in metrology and sensing.

DOI
10.13140/rg.2.2.10293.17120

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This thesis presents experimental work undertaken towards realising a system composed of magneto-optically-trapped potassium-39 atoms (39K MOT) enclosed in a ring cavity. The length of the cavity is 9.51 (5) cm and consequently its volume is big compared to cavities used for cavity quantum electrodynamics experiments, operating in the single-atom regime. As such, in order to enter a regime where the light-matter interactions are strong, thousands of atoms have to collectively interact with the mode of the cavity. We achieve strong interactions with potassium atoms for the first time, after 4.36(3) x 104atoms were overlapped with the cavity mode. The signature of our system lying in the collective strong coupling regime was the observation of the splitting and avoided crossing of the normal modes, revealing a coupling strength constant G = 2π x 19.1(1.6) MHz. \n \nThe thesis also discusses the application of the eltectromagnetically-induced transparency (EIT) technique to control the group index of refraction (ng) of atomic ensembles. We firstly apply EIT in the Λ configuration, in a heated vapour cell of potassium. This helped us to better understand the underlying fundamentals of the technique, before ultimately applying it in the (main) cold atoms experiment. Deeply sub-natural EIT features have been achieved, for which we calculate ng as high as 6330(160). Furthermore, by performing a novel measurement of the circular dichroism (and thus birefringence). We observed greater anisotropy when the weak probe and strong coupling beams, which participate in the formation of the EIT system. have lin∥ lin rather than \nlin ⊥ linpolarisation. \n \nBy optimising the temperature and optical depth of the 39K MOT, EIT investigations were made possible with the cold atoms. While a splitting of the absorption line was observed at high coupling beam powers, no EIT resonances were observed when the coupling power was reduced. Our measurements imply that the EIT signal is compromised by decoherence factors, such as the inhomogeneity of the magnetic field across the atomic cloud. Eliminating decoherence and achieving EIT in the strongly interacting atom-cavity system will enable studies with applications in metrology and sensing.
This thesis describes an experiment which studies a cloud of magneto-optically trapped potassium-39 atoms inside an optical ring cavity. The potassium atoms are firstly cooled in a two-dimensional magneto-optical trap (MOT) and are then transferred into a three dimensional MOT which overlaps with the cavity mode. In this thesis, the optimisation of the MOT systems and the characterisation and construction of the optical ring cavity are discussed. After exploring these two systems independently, the two systems are then coupled together to provide an atom-cavity system, which exhibits collective strong coupling. The system is shown to exhibit normal-mode splitting, with a collective Rabi splitting of G = 2π (6.25±0.50)MHz, corresponding to (4.7±0.6) x 10³ atoms in the cavity. Whilst collective strong coupling has been achieved before in other experiments, we believe this is the first experiment to achieve this with potassium. \n \nThe next goal in the experiment is to control the group refractive index of the atoms inside the cavity. The modification of the group index using electromagnetically-induced transparency (EIT) on hot atoms inside a vapour cell has already been previously demonstrated by this experiment; and using the same laser system we aim to demonstrate EIT on the cold intra-cavity atoms as well. Gain mechanisms could also be used to create a ring laser with a controllable group index. These techniques could lead to a range of applications such as enhanced-sensitivity laser ring gyroscopes and active optical clocks. \n \n
This thesis focuses on the construction and development of an experiment to study cold potassium atoms in an optical ring cavity. Firstly we load a potassium-39 magneto optical trap (MOT) inside the ring cavity. To achieve this a laser system, rectangular magnetic coils system and vacuum system are designed and constructed. To stabilise the laser system, a detailed study of various potassium spectroscopy techniques is undertaken and the reference laser is suitably locked to the magnetically induced spectroscopy. We load an ensemble of 10\\(^5\\) potassium atoms inside the ring cavity mode and study their collective strong coupling with the cavity field. In the collective strong coupling regime, the photons are coherently exchanged between the atomic ensemble and cavity field. This rate of exchange is determined by the singlephoton Rabi frequency `2\\(g\\)' which must be larger than the cavity field decay rate `2\\(k\\)' and atomic spontaneous emission rate `2\\(ᵧ\\)'. As a result of this coupling, the peak in the cavity transmission signal undergoes a splitting known as `vacuum Rabi splitting' (or `normal mode splitting'). The vacuum Rabi splitting has been realised and measured to be ~ 2\\(π\\). 18 MHz in our system.
We present experiments on ensemble cavity quantum electrodynamics with cold potassium atoms in a high-finesse ring cavity.Potassium-39 atoms are cooled in a two-dimensional magneto-optical trap and transferred to a three-dimensional trap which intersects the cavity mode.The apparatus is described in detail and the first observations of strong coupling with potassium atoms are presented.Collective strong coupling of atoms and light is demonstrated via the splitting of the cavity transmission spectrum and the avoided crossing of the normal modes.
The subject of this thesis is the study of coherent interaction of light with matter (atoms) to improve the precision measurements and techniques. Special attention is drawn to get the narrow subnatural electromagnetically induced transmission (EIT), electromagnetically induced absorption (EIA) and nonlinear magneto-optic rotation (NMOR) caused by alkali atoms contained in a vapor cell. Subnatural polarization rotation introduces by a strong circularly polarized light in the absence of any external magnetic field was also studied. A detailed theoretical treatment, given in this dissertation, allows to associate each of the features of the spectra with a special physical mechanism. Many quantum phenomena related to interferences, coherences, optical pumping etc. experiments are studied using home-built diode lasers. This thesis also describes laser cooling and trapping of rubidium atoms using two techniques. Deflection of cold atoms horizontally from MOT using pushing beams are discussed in close consideration for the improvements in the precision measurements. This thesis is organized as follows. In Chapter 1, an introduction to the importance of sub-natural narrow resonance and simplified technique in the precision measurement will be discussed. In Chapter 2, an introduction to EIT, EIA and NMOR resonance are discussed. This chapter will provide a basic theoretical background of atom-field interactions, especially for Λ-type and N -type systems and its steady state solution using density matrix analysis and experimental tools. The most important notion of laser cooling of atoms, ions or molecule i.e., exchange of momentum between light and atoms combining with the Doppler effect will be discussed. In Chapter 3, the observation of subnatural EIT and subnatural EIA in closed and open degenerate two-level system using room temperature vapor cell filled with Rb will be presented. Physical mechanisms that contribute to EIT and EIA, and the contrast of our results from the coherent population trapping (CPT)–type resonances are discussed in detail in appendix A.2 according to our experimental results. In Chapter 4, the narrowing of subnatural EIT and subnatural EIA linewidth in closed and open systems again in degenerate two level transition, using the “Laguerre-Gaussian” control beam instead of generally studied Gaussian beam, will be discussed in detail. In Chapter 5, the conversion between subnatural EIT to subnatural EIA in a degenerate Λ system will be discussed. The physical mechanism created by the introduction of a coherent counter propagating control laser to the co-propagating probe and the control laser are studied. The effect of polarization and axial velocity Doppler averaging will also be studied. In Chapter 6, we will discuss the sensitive technique for precise measurement of small magnetic fields using the NMOR, by chopping the resonant laser beam. We will study the sensitivity and the potential application of this technique in the measurement of an atomic electric-dipole moment. In Chapter 7, we will…
Electromagnetically induced transparency (EIT) was studied in a heated vapor cell of potassium without buffer gas or anti-relaxation coating. Transparency windows 60 times narrower than the natural line width and group indices exceeding 6000 were generated using a simple optical setup with a single free-running laser and an acousto-optic modulator. A longitudinal magnetic field was used to split the EIT feature into three components for either lin⊥\perp⊥lin or lin∥\parallel∥lin polarizations of probe and coupling beams. Measurements of polarization rotation revealed that only the lin∥\parallel∥lin configuration leads to circular birefringence, an effect which we attribute to quantum interference between the multiple Λ\LambdaΛ-type subsystems contributing to the signal. The Verdet constant of the EIT medium was measured to be (5.8±0.3)×104(5.8\pm 0.3)\times 10^4(5.8±0.3)×104 rad/T/m, and a novel measurement of group index for circular polarization based on birefringence was demonstrated. For larger fields, where the individual peaks were well resolved, resonant polarization rotations of (210±10)(210\pm10)(210±10) mrad/MHz were observed.
We study electromagnetically induced transparency (EIT) in a heated potassium vapor cell, using a simple optical setup with a single free-running diode laser and an acousto-optic modulator. Despite the fact that the Doppler width is comparable to the ground state hyperfine splitting, transparency windows with deeply sub-natural line widths and large group indices are obtained. A longitudinal magnetic field is used to split the EIT feature and induce magneto-optical anisotropy. Using the beat note between co-propagating coupling and probe beams, we perform a heterodyne measurement of the circular dichroism (and therefore birefringence) of the EIT medium. The observed spectra reveal that lin‖lin polarizations lead to greater anisotropy than lin⊥lin. A simplified ‖analytical model encompassing sixteen Zeeman states and eighteen Λ subsytems reproduces the experimental observations.