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UNIVERSITY of CALIFORNIA, MERCED Open System Dynamics In
UNIVERSITY OF CALIFORNIA, MERCED Open system dynamics in quantum optomechanics A dissertation submitted in partial satisfaction of the requirements for the degree of Doctor of Philosophy in Physics by Dan Hu Committee in charge: Professor Jay E. Sharping, Chair Professor Harish S. Bhat Professor Kevin A. Mitchell Professor Lin Tian, Dissertation Advisor 2014 Copyright Dan Hu, 2014 All rights reserved The dissertation of Dan Hu, titled Open system dynamics in quantum optomechanics, is approved, and it is acceptable in quality and form for publication on microfilm and electronically: Chair Date Professor Jay E. Sharping Date Professor Harish S. Bhat Date Professor Kevin A. Mitchell Date Professor Lin Tian University of California, Merced 2014 iii This dissertation is dedicated to my family. iv Contents Abstract vii List of Figures ix List of Tables xi 1 Introduction 1 1.1 Cavity Optomechanics . 2 1.2 Optomechanical Phenomena . 4 1.3 Nonlinear Quantum Optomechanical System . 14 2 Linearized Optomechanical Interaction 16 2.1 Blue-detuned Optomechanics . 17 2.2 Optomechanical System With Periodic Driving . 31 3 Nonlinear Optomechanical Effects with Perturbation 42 3.1 Introduction . 43 3.2 Optomechanical System . 44 3.3 Perturbation in the Heisenberg Picture . 45 3.4 Applications of the Perturbation Solutions . 47 3.5 Conclusions . 54 4 Strongly Coupled Optomechanical System 55 4.1 Introduction . 56 4.2 Dressed-state Master Equation . 57 4.3 Analytical Solutions . 61 4.4 Numerical Results . 62 4.5 Conclusions . 70 5 Conclusions and Future Work 71 Appendix A Blue-detuned optomechanical system 73 v A.1 Covariance Matrix under RWA . 73 A.2 Optomechanical Entanglement between Cavity Output Mode and Me- chanical Mode . -
Glossary Glossary
Glossary Glossary Albedo A measure of an object’s reflectivity. A pure white reflecting surface has an albedo of 1.0 (100%). A pitch-black, nonreflecting surface has an albedo of 0.0. The Moon is a fairly dark object with a combined albedo of 0.07 (reflecting 7% of the sunlight that falls upon it). The albedo range of the lunar maria is between 0.05 and 0.08. The brighter highlands have an albedo range from 0.09 to 0.15. Anorthosite Rocks rich in the mineral feldspar, making up much of the Moon’s bright highland regions. Aperture The diameter of a telescope’s objective lens or primary mirror. Apogee The point in the Moon’s orbit where it is furthest from the Earth. At apogee, the Moon can reach a maximum distance of 406,700 km from the Earth. Apollo The manned lunar program of the United States. Between July 1969 and December 1972, six Apollo missions landed on the Moon, allowing a total of 12 astronauts to explore its surface. Asteroid A minor planet. A large solid body of rock in orbit around the Sun. Banded crater A crater that displays dusky linear tracts on its inner walls and/or floor. 250 Basalt A dark, fine-grained volcanic rock, low in silicon, with a low viscosity. Basaltic material fills many of the Moon’s major basins, especially on the near side. Glossary Basin A very large circular impact structure (usually comprising multiple concentric rings) that usually displays some degree of flooding with lava. The largest and most conspicuous lava- flooded basins on the Moon are found on the near side, and most are filled to their outer edges with mare basalts. -
Human Spatial Orientation Perceptions During Simulated Lunar Landing
Human Spatial Orientation Perceptions during Simulated Lunar Landing By Torin Kristofer Clark B.S. Aerospace Engineering University of Colorado at Boulder, 2008 SUBMITTED TO THE DEPARTMENT OF AERONAUTICS AND ASTRONAUTICS IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE OF MASTER OF SCIENCE IN AERONAUTICS AND ASTRONAUTICS AT THE MASSACHUSETTS INSTITUTE OF TECHNOLOGY June 2010 © 2010 Massachusetts Institute of Technology All rights reserved Signature of Author: ____________________________________________________________ Torin K. Clark Department of Aeronautics and Astronautics May 21, 2010 Certified by: ___________________________________________________________________ Laurence R. Young Apollo Program Professor of Astronautics Professor of Health Sciences and Technology Thesis Supervisor Certified by: ___________________________________________________________________ Kevin R. Duda Senior Member, Technical Staff, Draper Laboratory Thesis Supervisor Accepted by: __________________________________________________________________ Eytan H. Modiano Associate Professor of Aeronautics and Astronautics Chair, Committee on Graduate Students 1 ABSTRACT During crewed lunar landings, astronauts are expected to guide a stable and controlled descent to a landing zone that is level and free of hazards by either making landing point (LP) redesignations or taking direct manual control. However, vestibular and visual sensorimotor limitations unique to lunar landing may interfere with landing performance and safety. Vehicle motion profiles of candidate -
A Selected Bibliography of Publications By, and About, J
A Selected Bibliography of Publications by, and about, J. Robert Oppenheimer Nelson H. F. Beebe University of Utah Department of Mathematics, 110 LCB 155 S 1400 E RM 233 Salt Lake City, UT 84112-0090 USA Tel: +1 801 581 5254 FAX: +1 801 581 4148 E-mail: [email protected], [email protected], [email protected] (Internet) WWW URL: http://www.math.utah.edu/~beebe/ 17 March 2021 Version 1.47 Title word cross-reference $1 [Duf46]. $12.95 [Edg91]. $13.50 [Tho03]. $14.00 [Hug07]. $15.95 [Hen81]. $16.00 [RS06]. $16.95 [RS06]. $17.50 [Hen81]. $2.50 [Opp28g]. $20.00 [Hen81, Jor80]. $24.95 [Fra01]. $25.00 [Ger06]. $26.95 [Wol05]. $27.95 [Ger06]. $29.95 [Goo09]. $30.00 [Kev03, Kle07]. $32.50 [Edg91]. $35 [Wol05]. $35.00 [Bed06]. $37.50 [Hug09, Pol07, Dys13]. $39.50 [Edg91]. $39.95 [Bad95]. $8.95 [Edg91]. α [Opp27a, Rut27]. γ [LO34]. -particles [Opp27a]. -rays [Rut27]. -Teilchen [Opp27a]. 0-226-79845-3 [Guy07, Hug09]. 0-8014-8661-0 [Tho03]. 0-8047-1713-3 [Edg91]. 0-8047-1714-1 [Edg91]. 0-8047-1721-4 [Edg91]. 0-8047-1722-2 [Edg91]. 0-9672617-3-2 [Bro06, Hug07]. 1 [Opp57f]. 109 [Con05, Mur05, Nas07, Sap05a, Wol05, Kru07]. 112 [FW07]. 1 2 14.99/$25.00 [Ber04a]. 16 [GHK+96]. 1890-1960 [McG02]. 1911 [Meh75]. 1945 [GHK+96, Gow81, Haw61, Bad95, Gol95a, Hew66, She82, HBP94]. 1945-47 [Hew66]. 1950 [Ano50]. 1954 [Ano01b, GM54, SZC54]. 1960s [Sch08a]. 1963 [Kuh63]. 1967 [Bet67a, Bet97, Pun67, RB67]. 1976 [Sag79a, Sag79b]. 1981 [Ano81]. 20 [Goe88]. 2005 [Dre07]. 20th [Opp65a, Anoxx, Kai02]. -
University of Cincinnati
UNIVERSITY OF CINCINNATI Date:__7/30/07_________________ I, __ MUNISH GUPTA_____________________________________, hereby submit this work as part of the requirements for the degree of: DOCTORATE OF PHILOSOPHY (Ph.D) in: MATERIALS SCIENCE AND ENGINEERING It is entitled: LOW-PRESSURE AND ATMOSPHERIC PRESSURE PLASMA POLYMERIZED SILICA-LIKE FILMS AS PRIMERS FOR ADHESIVE BONDING OF ALUMINUM This work and its defense approved by: Chair: __Dr. F. JAMES BOERIO ___ ______ __Dr. GREGORY BEAUCAGE __ ___ __ __Dr. RODNEY ROSEMAN _____ ___ __Dr. JUDE IROH _ _____________ _______________________________ LOW-PRESSURE AND ATMOSPHERIC PRESSURE PLASMA POLYMERIZED SILICA-LIKE FILMS AS PRIMERS FOR ADHESIVE BONDING OF ALUMINUM A dissertation submitted to the Division of Research and Advanced Studies of the University of Cincinnati in partial fulfillment of the requirements for the degree of DOCTORATE OF PHILOSOPHY (Ph.D) in the Department of Chemical and Material Engineering of the College of Engineering 2007 by Munish Gupta M.S., University of Cincinnati, 2005 B.E., Punjab Technical University, India, 2000 Committee Chair: Dr. F. James Boerio i ABSTRACT Plasma processes, including plasma etching and plasma polymerization, were investigated for the pretreatment of aluminum prior to structural adhesive bonding. Since native oxides of aluminum are unstable in the presence of moisture at elevated temperature, surface engineering processes must usually be applied to aluminum prior to adhesive bonding to produce oxides that are stable. Plasma processes are attractive for surface engineering since they take place in the gas phase and do not produce effluents that are difficult to dispose off. Reactive species that are generated in plasmas have relatively short lifetimes and form inert products. -
5. the Fossil Fuels: Petroleum I - Finding Oil
5. The Fossil Fuels: Petroleum I - Finding Oil 5.1 Introduction Finding petroleum is a difficult and sometimes dangerous job. It involves a large number of individuals with a wide variety of skills. These include geologists, seismologists, various types of engineers and landmen. All of these individuals play vital but specific roles in the development and ultimate production of a play. This lab conveys just a portion of the complexities involved in this important search. Figure 1: Drill pipe stacked on an offshore platform ready for drilling (photo by Erin Campbell- Stone). This lab will investigate the: • different types of petroleum wells • difference between exploration and production • the costs of exploring and producing oil • the importance of understanding geology 1 of 121 The Fossil Fuels: Petroleum I - Finding Oil 5.2 Petroleum Geology 5.2.1 Petroleum Traps 5.2.1.1 Intro Petroleum is less dense than the other fluids, mainly water, that it occurs with in the subsurface. Consequently, with time, it rises upward. If it does not encounter an impermeable layer, it will rise all the way to the Earth's surface where the lighter fractions will evaporate. This produces the oil seeps and tar pits that were important sources of early petroleum products. To prevent its loss and to form an oil field, petroleum must be trapped before it reaches the surface and allowed to accumulate. This combination of natural geologic conditions is a hydrocarbon trap. Thus, oil and natural gas companies spend considerable time, effort and money looking for the right combination of geologic conditions that in the past may have produced a hydrocarbon trap. -
Higher-Order Interactions in Quantum Optomechanics: Revisiting Theoretical Foundations
Higher-order interactions in quantum optomechanics: Revisiting theoretical foundations Sina Khorasani 1,2 1 School of Electrical Engineering, Sharif University of Technology, Tehran, Iran; [email protected] 2 École Polytechnique Fédérale de Lausanne, Lausanne, CH-1015, Switzerland; [email protected] Abstract: The theory of quantum optomechanics is reconstructed from first principles by finding a Lagrangian from light’s equation of motion and then proceeding to the Hamiltonian. The nonlinear terms, including the quadratic and higher-order interactions, do not vanish under any possible choice of canonical parameters, and lead to coupling of momentum and field. The existence of quadratic mechanical parametric interaction is then demonstrated rigorously, which has been so far assumed phenomenologically in previous studies. Corrections to the quadratic terms are particularly significant when the mechanical frequency is of the same order or larger than the electromagnetic frequency. Further discussions on the squeezing as well as relativistic corrections are presented. Keywords: Optomechanics, Quantum Physics, Nonlinear Interactions 1. Introduction The general field of quantum optomechanics is based on the standard optomechanical Hamiltonian, which is expressed as the simple product of photon number 푛̂ and the position 푥̂ operators, having the form ℍOM = ℏ푔0푛̂푥̂ [1-4] with 푔0 being the single-photon coupling rate. This is mostly referred to a classical paper by Law [5], where the non-relativistic Hamiltonian is obtained through Lagrangian dynamics of the system. This basic interaction is behind numerous exciting theoretical and experimental studies, which demonstrate a wide range of applications. The optomechanical interaction ℍOM is inherently nonlinear by its nature, which is quite analogous to the third-order Kerr optical effect in nonlinear optics [6,7]. -
What Doomed the Stromatolites? SCIENTISTS FIND KEY CLUE to Ancient ENIGMA by Cherie Winner
Microbes What Doomed the Stromatolites? SCIENTISTS FIND KEY CLUE TO ANCIENT ENIGMA by Cherie Winner Virginia Edgcomb/WHOI Rocky formations like these, called stromatolites, dominated coastal areas billions of years ago. Now they exist in only a few locations. bout a billion years before the dinosaurs became extinct, Forams are abundant in present-day ocean sediments, where stromatolites roamed the Earth until they mysteriously they use fingerlike extensions called pseudopods to engulf prey disappeared. Well, not roamed exactly. and to explore their surroundings. In the process, their pseudo- Stromatolites (“layered rocks”) are rocky structures pods churn the sediments on a microscopic scale. made by photosynthetic cyanobacteria. The microbes Living stromatolites can still be found today, in limited and secrete sticky compounds that bind together sediment widely scattered locales, as if a few velociraptors still roamed in grains,A creating a mineral “microfabric” that accumulates in fine remote valleys. Bernhard, Edgcomb, and colleagues looked for layers. Massive formations of stromatolites showed up along foraminifera in living stromatolite and thrombolite formations shorelines all over the world about 3.5 billion years ago. They from Highborne Cay in the Bahamas. Using microscope and were the earliest visible manifestation of life on Earth and domi- RNA sequencing techniques, they found forams in both—and nated the scene for more than two billion years. thrombolites were especially rich in the kinds of forams that “They were one of the earliest examples of the intimate were probably the first foraminifera to evolve on Earth. connection between biology—living things—and geology— “The timing of their appearance corresponds with the the structure of the Earth itself,” said Joan decline of layered stromatolites and the Bernhard, a geobiologist at Woods Hole appearance of thrombolites in the fossil re- Oceanographic Institution (WHOI). -
Field Versus Flow
Applied Physics Research; Vol. 9, No. 2; 2017 ISSN 1916-9639 E-ISSN 1916-9647 Published by Canadian Center of Science and Education Redefining Gravity: Field versus Flow 1 Mehmet Bora Cilek 1 PFR Varyap Meridian E148, 34746 Turkey Correspondence: M. Bora Cilek, PFR Varyap Meridian E148, 34746 Turkey. E-mail: [email protected] Received: March 16, 2017 Accepted: March 26, 2017 Online Published: March 31, 2017 doi:10.5539/apr.v9n2p87 URL: https://doi.org/10.5539/apr.v9n2p87 Abstract General Theory of Relativity constitutes the framework for our understanding of the universe, with an emphasis on gravity. Many of Einstein’s predictions have been verified experimentally but General and Special Theories of Relativity contain several anomalies and paradoxes, yet to be answered. Also, there are serious conflicts with Quantum Mechanics; gravity being the weakest and least understood force, is a major problem. Supported by clear experimental evidence, it is theorised that gravity is not a field or spacetime curvature effect, but rather has a flow mechanism. This is not an alternative theory of gravity with an alternative metric. Established laws and equations from Newton and Einstein are essentially left unchanged. However, spacetime curvature is replaced with flow, producing a refined and compatible theory. Keywords: Gravity; Relativity; Fluid Universe; Gravitation; Interferometry; Aether; Vertical Michelson-Morley Experiment 1. Introduction The question of gravity was always a major concern for science throughout the history. First detailed analysis was carried out by Isaac Newton in 17th century, exposing mathematical relations governing gravitation and motion (Newton, 1687). However Newton himself accepted that he did not know what exactly caused gravity and was puzzled by the possibility of action/force over a distance. -
2011 Fall Paper Session Program And
Rochester Academy of Science Fall 2011 Scientific Papers Day Saturday, October 29, 2011 Hosted by: Monroe County Community College and the Departments of Biology, Chemistry and Geosciences, and Engineering Science and Physics Table of Contents Page Schedule of the Day 3 Session Schedules Session I: Agriculture, Anthropology & New Approaches 5 Session II: Phylogeny, Ecology & Paleontology 6 Session III: Ecology 7 Session IV: Meteorology, Physics & Astronomy 8 Session V: Chemistry I 9 Session VI: Chemistry II 10 List of Posters 11 All Abstracts 21 Acknowledgements 91 2 Rochester Academy of Science Fall 2011 Scientific Papers Day Saturday, October 29, 2011 Hosted by: Monroe County Community College and the Departments of Biology, Chemistry and Geosciences, and Engineering Science and Physics 8:00 am Registration Gilman Lounge, Flynn Campus Center 8:00 – 9:00 am Coffee & Refreshments Gilman Lounge, Flynn Campus Center 9:00 – 11:00 am Oral Presentations Session I: Agriculture, Anthropology & New Approaches 12-209 Session II: Phylogeny, Ecology & Paleontology 12-203 Session III: Ecology 12-207 Session IV: Meteorology, Physics & Astronomy 12-215 Session V: Chemistry I 12-211 Session VI: Chemistry II 12-213 11:00 am – 12:00 pm Poster Session Forum (3-130) 12:00 pm Luncheon Monroe A and B, Flynn Campus Center 1:00 pm Key Note Speaker Monroe A and B, Flynn Campus Center Disappearing Ice! Mass Loss and Dynamics of the Greenland Ice Sheet Dr. Beata Csatho Department of Geology, University of Buffalo 3 4 Oral Presentations Session I: Agriculture, -
Cavity Optomechanics and Optical Frequency Comb Generation with Silica Whispering-Gallery-Mode Microresonators
Cavity Optomechanics and Optical Frequency Comb Generation with Silica Whispering-Gallery-Mode Microresonators Albert Schließer Dissertation an der Fakult¨at f¨ur Physik der Ludwig–Maximilians–Universit¨at M¨unchen vorgelegt von Albert Schließer aus M¨unchen Erstgutachter: Prof. Dr. Theodor W. H¨ansch Zweitgutachter: Prof. Dr. J¨org P. Kotthaus Tag der m¨undlichen Pr¨ufung: 21. Oktober 2009 Meinen Eltern gewidmet. ii Danke An dieser Stelle m¨ochte ich mich bei allen bedanken, deren Unterst¨utzung maßgeblich f¨ur das Gelingen dieser Arbeit war. Prof. Theodor H¨ansch danke ich f¨urdie Betreuung der Arbeit und die Aufnahme in seiner Gruppe zu Beginn meiner Promotion. Seine Neugier und Originalit¨at, die die Atmosph¨are in der gesamten Abteilung pr¨agen, sind eine Quelle der Motivation und Inspiration. In dieser Abteilung war auch die Independent Junior Research Group “Laboratory of Photonics” von Prof. Tobias Kippenberg eingebettet. Als erster Doktorand in dieser Gruppe danke ich Tobias f¨ur die Gelegenheit, an der Mikroresonator-Forschung am MPQ von Anfang an mitzuwirken. Ich bin ihm auch zu Dank verpflichtet f¨urdie tollen Rahmenbedingungen, die er mit beispiellosem Elan und Organisationstalent innerhalb k¨urzester Zeit schuf — und die mit Independent wohl wesentlich treffender beschrieben sind denn mit Junior.Ausdenungez¨ahlteDiskussionenphysikalischerFragestel- lungen und Ideen aller Art, und seiner sportliche Herangehensweise an die Herausforderungen des Forschungsalltags habe ich einiges gelernt. Ich m¨ochte auch Prof. J¨org Kotthaus danken, f¨urdie M¨oglichkeit der Probenherstellung im Reinraum seiner Gruppe, und sein Interesse am Fort- gang dieser Arbeit. Ich freue mich, dass er sich schließlich auch dazu bereit erkl¨art hat, das Zweitgutachten zu ¨ubernehmen. -
Viscosity from Newton to Modern Non-Equilibrium Statistical Mechanics
Viscosity from Newton to Modern Non-equilibrium Statistical Mechanics S´ebastien Viscardy Belgian Institute for Space Aeronomy, 3, Avenue Circulaire, B-1180 Brussels, Belgium Abstract In the second half of the 19th century, the kinetic theory of gases has probably raised one of the most impassioned de- bates in the history of science. The so-called reversibility paradox around which intense polemics occurred reveals the apparent incompatibility between the microscopic and macroscopic levels. While classical mechanics describes the motionof bodies such as atoms and moleculesby means of time reversible equations, thermodynamics emphasizes the irreversible character of macroscopic phenomena such as viscosity. Aiming at reconciling both levels of description, Boltzmann proposed a probabilistic explanation. Nevertheless, such an interpretation has not totally convinced gen- erations of physicists, so that this question has constantly animated the scientific community since his seminal work. In this context, an important breakthrough in dynamical systems theory has shown that the hypothesis of microscopic chaos played a key role and provided a dynamical interpretation of the emergence of irreversibility. Using viscosity as a leading concept, we sketch the historical development of the concepts related to this fundamental issue up to recent advances. Following the analysis of the Liouville equation introducing the concept of Pollicott-Ruelle resonances, two successful approaches — the escape-rate formalism and the hydrodynamic-mode method — establish remarkable relationships between transport processes and chaotic properties of the underlying Hamiltonian dynamics. Keywords: statistical mechanics, viscosity, reversibility paradox, chaos, dynamical systems theory Contents 1 Introduction 2 2 Irreversibility 3 2.1 Mechanics. Energyconservationand reversibility . ........................ 3 2.2 Thermodynamics.