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177
Quantum Chaos, Transport, and Decoherence in Atom Optics
, 2001
"... Experimental research is often a collaborative endeavor, and the work presented in this dissertation is certainly no exception. During the past six years I have had the pleasure of working with a number of bright and enthusiastic people that I would like to mention here. First of all, I would like t ..."
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Experimental research is often a collaborative endeavor, and the work presented in this dissertation is certainly no exception. During the past six years I have had the pleasure of working with a number of bright and enthusiastic people that I would like to mention here. First of all, I would like to thank my advisor, Mark Raizen. Mark is always brimming with intriguing new ideas, and he has an exceptional sense for interesting physics problems. Mark has provided an exciting and supportive research environment for his students. I have truly enjoyed and greatly benefited from spending the past few years under his guidance. I have collaborated with Windell Oskay on all of the research in this dissertation. I cannot imagine having done the experiments in this dissertation without Windell’s remarkable productivity and superior technical prowess. This is especially true of the chaosassisted tunneling experiments in Chapter 6, where the two of us managed an enormously complicated experiment and took enough data to literally choke our computer. Windell’s rocksolid and extensive LabVIEW code (which featured its own web
Geometric inequalities for axially symmetric black holes
 Classical and Quantum Gravity
"... A geometric inequality in General Relativity relates quantities that have both a physical interpretation and a geometrical definition. It is well known that the parameters that characterize the KerrNewman black hole satisfy several important geometric inequalities. Remarkably enough, some of these ..."
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A geometric inequality in General Relativity relates quantities that have both a physical interpretation and a geometrical definition. It is well known that the parameters that characterize the KerrNewman black hole satisfy several important geometric inequalities. Remarkably enough, some of these inequalities also hold for dynamical black holes. This kind of inequalities play an important role in the characterization of the gravitational collapse, they are closed related with the cosmic censorship conjecture. Axially symmetric black holes are the natural candidates to study these inequalities because the quasilocal angular momentum is well defined for them. We review recent results in this subject and we also describe the main ideas behind the proofs. Finally, a list of relevant open problem is presented. 1
Cesium D Line Data
, 1998
"... In this reference we present many of the physical and optical properties of sodium that are relevant to various quantum optics experiments. In particular, we give parameters that are useful in treating the mechanical effects of light on sodium atoms. The measured numbers are given with their origina ..."
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In this reference we present many of the physical and optical properties of sodium that are relevant to various quantum optics experiments. In particular, we give parameters that are useful in treating the mechanical effects of light on sodium atoms. The measured numbers are given with their original references, and the calculated numbers are presented with an overview of their calculation along with references to more comprehensive discussions of
The standard model prediction of the muon anomalous magnetic moment
 J. Phys. G
, 2005
"... This article provides an update and a review of the present status of, and open questions concerning, the various contributions to the Standard Model prediction for the muon g−2. The discrepancy between this prediction and the current experimental measurement ranges approximately between two and thr ..."
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This article provides an update and a review of the present status of, and open questions concerning, the various contributions to the Standard Model prediction for the muon g−2. The discrepancy between this prediction and the current experimental measurement ranges approximately between two and three standard deviations.
Revised formula for the density of moist air (CIPM2007
 Metrologia
, 2008
"... Measurements of air density determined gravimetrically and by using the CIPM81/91 formula, an equation of state, have a relative deviation of 6.4 × 10−5. This difference is consistent with a new determination of the mole fraction of argon xAr carried out in 2002 by the Korea Research Institute of S ..."
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Measurements of air density determined gravimetrically and by using the CIPM81/91 formula, an equation of state, have a relative deviation of 6.4 × 10−5. This difference is consistent with a new determination of the mole fraction of argon xAr carried out in 2002 by the Korea Research Institute of Standards and Science (KRISS) and with recently published results from the LNE. The CIPM equation is based on the molar mass of dry air, which is dependent on the contents of the atmospheric gases, including the concentration of argon. We accept the new argon value as definitive and amend the CIPM81/91 formula accordingly. The KRISS results also provide a test of certain assumptions concerning the mole fractions of oxygen and carbon dioxide in air. An updated value of the molar gas constant R is available and has been incorporated in the CIPM2007 equation. In making these changes, we have also calculated the uncertainty of the CIPM2007 equation itself in conformance with the Guide to the Expression of Uncertainty in Measurement, which was not the case for previous versions of this equation. The 96th CIPM meeting has accepted these changes. 1.
3Space inflow theory of gravity: Boreholes, blackholes and the fine structure constant
 Progress in Physics, 2006
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Electroweak effective charges and their relation to physical cross sections,” Nucl
 Phys. B
, 1997
"... In quantum electrodynamics with fermions f = e, µ..., knowledge of the vacuum polarization spectral function determined from the tree level e + e − → f + f − cross sections, together with a single low energy measurement of the fine structure constant α, enables the construction of the one–loop effe ..."
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In quantum electrodynamics with fermions f = e, µ..., knowledge of the vacuum polarization spectral function determined from the tree level e + e − → f + f − cross sections, together with a single low energy measurement of the fine structure constant α, enables the construction of the one–loop effective charge αeff(q 2) for all q 2. It is shown how an identical procedure can be followed in the electroweak sector of the Standard Model to construct three gauge–, scale – and scheme–independent one–loop electroweak effective charges and an effective weak mixing angle from the tree level e + e − → W + W − , ZH and e + νe → W + Z, W + γ, W + H differential cross sections, together with three low energy measurements, which may be chosen to be α and the masses of the W and Z bosons. It is found that the corresponding proper self–energy–like functions thus constructed are identical to those obtained in the pinch technique framework. In this way, it is shown how the concept of effective charges in the electroweak Standard Model is as well–defined and unique as in quantum electrodynamics.
Quantum Degeneracy and Interactions in the 87Rb 40K BoseFermi Mixture
, 2005
"... The final copy of this thesis has been examined by the signatories, and we find that both the content and the form meet acceptable presentation standards of scholarly work in the above mentioned discipline. iii Goldwin, Jonathan Michael (Ph.D., Physics) Quantum Degeneracy and Interactions in the 87R ..."
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The final copy of this thesis has been examined by the signatories, and we find that both the content and the form meet acceptable presentation standards of scholarly work in the above mentioned discipline. iii Goldwin, Jonathan Michael (Ph.D., Physics) Quantum Degeneracy and Interactions in the 87Rb40K BoseFermi Mixture Thesis directed by Associate Professor Deborah S. Jin An apparatus for producing dilutegas quantum degenerate BoseFermi mixtures is presented. The experiment uses forced evaporative cooling to obtain a nearly pure 87Rb BoseEinstein condensate immersed in a gas of sympathetically cooled 40K atoms at 0.2 times the Fermi temperature. The design, construction, and operation of the apparatus are described in detail. The onset of quantum degeneracy is characterized and contrasted between species, revealing the effects of quantum statistics on the bulk properties of the gases. The apparatus is then used to study the interactions between species in ultracold nondegenerate mixtures. Measurements of rethermalization rates are used to determine the elastic scattering crosssection between species. From these measurements the magnitude of the interspecies swave scattering length is determined. The scattering length is central to characterizing a variety of static and dynamic properties of the mixture. The apparatus is additionally used to study for the first time Feshbach resonances in the collisions between 87Rb and 40K atoms. These resonances present a means for experimentally tuning the scattering length between species to any desired value. Prospects for future experiments exploiting this realtime control over the interactions are discussed. iv
Topological Flat Band Models and Fractional Chern Insulators
, 2014
"... Topological insulators and their intriguing edge states can be understood in a singleparticle picture and can as such be exhaustively classified. Interactions significantly complicate this picture and can lead to entirely new insulating phases, with an altogether much richer and less explored phen ..."
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Topological insulators and their intriguing edge states can be understood in a singleparticle picture and can as such be exhaustively classified. Interactions significantly complicate this picture and can lead to entirely new insulating phases, with an altogether much richer and less explored phenomenology. Most saliently, lattice generalizations of fractional quantum Hall states, dubbed fractional Chern insulators, have recently been predicted to be stabilized by interactions within nearly dispersionless bands with nonzero Chern number, C. Contrary to their continuum analogues, these states do not require an external magnetic field and may potentially persist even at room temperature, which make these systems very attractive for possible applications such as topological quantum computation. This review recapitulates the basics of tightbinding models hosting nearly flat bands with nontrivial topology, C 6 = 0, and summarizes the present understanding of interactions and strongly correlated phases within these bands. Emphasis is made on microscopic models, highlighting the analogy with continuum Landau level physics, as well as qualitatively new, lattice specific, aspects including Berry curvature fluctuations, competing instabilities as well as novel collective states of matter emerging in bands with C > 1. Possible experimental realizations, including oxide interfaces and cold atom implementations as well as generalizations to flat bands characterized by other topological invariants are also discussed.
Blackbody radiation shift of the 133Cs hyperfine transition frequency
 Physical Review A
"... We report the theoretical evaluations of the static scalar polarizability of the 133Cs ground state and of the black body radiation shift induced on the transition frequency between the two hyperfine levels with mF = 0. This shift is of fundamental importance in the evaluation of the accuracy of the ..."
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We report the theoretical evaluations of the static scalar polarizability of the 133Cs ground state and of the black body radiation shift induced on the transition frequency between the two hyperfine levels with mF = 0. This shift is of fundamental importance in the evaluation of the accuracy of the primary frequency standards based on atomic fountains and employed in the realization of the SI second in the International Atomic Time (TAI) scale at the level of 1 × 10−15. Our computed value for the polarizability is α0 = (6.600±0.016)×10 −39 Cm2 /V in agreement at the level of 1×10−3 with recent theoretical and experimental values. As regards the black body radiation shift we find for the relative hyperfine transition frequency β = (−1.49 ± 0.07) × 10−14 at T = 300 K in agreement with frequency measurements reported by our group and by Bauch and Schröder [Phys. Rev. Lett. 78, 622, (1997)]. This value is lower by 2 × 10−15 than that obtained with measurements based on the dc Stark shift and with the value commonly accepted up to now. PACS number(s): 32.60.+i, 32.10.Dk, 06.30.Ft 1 I.