2013 Annual Report (English)
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Quantum, Classical and Symmetry Aspects of Max Born Reciprocity
Quantum, Classical and Symmetry Aspects of Max Born Reciprocity L.M. Tomilchik B.I. Stepanov Institute of Physics, National Academy of Sciences of Belarus Minsk, 16–19 May 2017 1 / 36 Topics 1 Reciprocal Symmetry and Maximum Tension Principle 2 Maximum Force and Newton gravity 3 Extended Phase Space (QTPH) as a Basic Manifold 4 Complex Lorentz group with Real Metric as Group of Reciprocal Symmetry 5 One-Particle Quasi-Newtonian Reciprocal-Invariant Hamiltonian dynamics 6 Canonic Quantization: Dirac Oscillator as Model of Fermion with a Plank mass 2 / 36 Born Reciprocity version 1 Reciprocity Transformations (RT): xµ pµ pµ xµ ! ; ! − : qe pe pe qe 2 Lorentz and Reciprocal Invariant quadratic form: 1 1 S2 = xµx + pµp ; η = diagf1; −1; −1; −1g B 2 µ 2 µ µν qe pe 3 xµ, pµ are quantum-mechanical canonic operators: [xµ; pν ] = i~ηµν 4 Phenomenological parameter according definition pe = Mc so that qe = ~=Mc = Λc (Compton length): The mass M is a free model parameter. 5 Two dimensional constants qe[length], pe[momentum] connected by corellation: qepe = ~ (Plank constant): 3 / 36 Relativistic Oscillator Equation (ROE) Selfreciprocal-Invariant Quantum mechanical Equation: @2 − + ξµξ Ψ(ξ) = λ Ψ(ξ); µ µ B @ξ @ξµ µ µ where ξ = x =Λc. The (ROE) symmetry ≈ U(3; 1). There are solution corresponding linear discrete mass spectrum. 4 / 36 Maximum Tension Principle (MTP) The space-time and momentum variables are to be just the same dimentions of a quantity. It is necessary to have the universal constant with dimention: momentum/length, or equivalently: mass/time, energy/time, momentum/time. -
News from the Precision Frontier at the LHC
News from the Precision Frontier at the LHC Doreen Wackeroth [email protected]ffalo.edu Colloquium @ McMaster University Hamilton, Ontario, January 25, 2017 HEPCOS@UB is a member of the LHC CMS collaboration and gratefully acknowledges funding by the U.S. National Science Foundation The Standard Model in a nutshell The physical world at the very fundamental level follows a symmetry principle: the strong and electroweak interactions of matter particles (leptons and quarks) are prescribed by gauge symmetries, i. e. the Lagrangian L = LQCD + LEW is form-invariant, L!L, under SU(3)color and SU(2)I =isospin × U(1)Y =hypercharge transformations of the matter and gauge fields. 1 a µν;a LQCD = − 4 Gµν G Pf j µ a λa j + j=1 q¯ (x)iγ (@µ + igs Gµ(x) 2 )q (x) P ¯ µ Yf b b LEW = f ΨL;f γ (i@µ − g1 2 Bµ + g2I Wµ )ΨL;f P µ (±1+yf ) + f a¯R;f γ (i@µ + g1 2 Bµ)aR;f 1 µν 1 b µν;b − 4 Bµν B − 4 Wµν W Glashow (1961) b Bµ : U(1) gauge field, Wµ; b = 1; 2; 3 : SU(2) gauge fields ΨL;f (aR;f ): SU(2) doublet(singlet) for left(right)-handed fermions Electroweak symmetry breaking in the Standard Model The mediators of the weak interaction, the W and Z bosons, are massive, but 2 b µ,b naively introducing mass terms in L such as M Wµ W breaks the electroweak symmetry of LEW . The mechanism of spontaneous symmetry breaking allows for simultaneously generating W and Z boson masses and preserving the gauge symmetry of LEW . -
Testing the Quantum-Classical Boundary and Dimensionality of Quantum Systems
Testing the Quantum-Classical Boundary and Dimensionality of Quantum Systems Poh Hou Shun Centre for Quantum Technologies National University of Singapore This dissertation is submitted for the degree of Doctor of Philosophy September 2015 Acknowledgements No journey of scientific discovery is ever truly taken alone. Every step along the way, we encounter people who are a great source of encouragement, guidance, inspiration, joy, and support to us. The journey I have embarked upon during the course of this project is no exception. I would like to extend my gratitude to my project partner on many occasion during the past 5 years, Ng Tien Tjeun. His humorous take on various matters ensures that there is never a dull moment in any late night lab work. A resounding shout-out to the ‘elite’ mem- bers of 0205 (our office), Tan Peng Kian, Shi Yicheng, and Victor Javier Huarcaya Azanon for their numerous discourses into everything under the sun, some which are possibly work related. Thank for tolerating my borderline hoarding behavior and the frequently malfunc- tioning door? I would like to thank Alessandro Ceré for his invaluable inputs on the many pesky problems that I had with data processing. Thanks for introducing me to world of Python programming. Now there is something better than Matlab? A big thanks also goes out to all of my other fellow researchers and colleagues both in the Quantum Optics group and in CQT. They are a source of great inspiration, support, and joy during my time in the group. Special thanks to my supervisor, Christian Kurtsiefer for his constant guidance on and off the project over the years. -
The Grand Challenges in the Chemical Sciences
The Israel Academy of Sciences and Humanities Celebrating the 70 th birthday of the State of Israel conference on THE GRAND CHALLENGES IN THE CHEMICAL SCIENCES Jerusalem, June 3-7 2018 Biographies and Abstracts The Israel Academy of Sciences and Humanities Celebrating the 70 th birthday of the State of Israel conference on THE GRAND CHALLENGES IN THE CHEMICAL SCIENCES Participants: Jacob Klein Dan Shechtman Dorit Aharonov Roger Kornberg Yaron Silberberg Takuzo Aida Ferenc Krausz Gabor A. Somorjai Yitzhak Apeloig Leeor Kronik Amiel Sternberg Frances Arnold Richard A. Lerner Sir Fraser Stoddart Ruth Arnon Raphael D. Levine Albert Stolow Avinoam Ben-Shaul Rudolph A. Marcus Zehev Tadmor Paul Brumer Todd Martínez Reshef Tenne Wah Chiu Raphael Mechoulam Mark H. Thiemens Nili Cohen David Milstein Naftali Tishby Nir Davidson Shaul Mukamel Knut Wolf Urban Ronnie Ellenblum Edvardas Narevicius Arieh Warshel Greg Engel Nathan Nelson Ira A. Weinstock Makoto Fujita Hagai Netzer Paul Weiss Oleg Gang Abraham Nitzan Shimon Weiss Leticia González Geraldine L. Richmond George M. Whitesides Hardy Gross William Schopf Itamar Willner David Harel Helmut Schwarz Xiaoliang Sunney Xie Jim Heath Mordechai (Moti) Segev Omar M. Yaghi Joshua Jortner Michael Sela Ada Yonath Biographies and Abstracts (Arranged in alphabetic order) The Grand Challenges in the Chemical Sciences Dorit Aharonov The Hebrew University of Jerusalem Quantum Physics through the Computational Lens While the jury is still out as to when and where the impressive experimental progress on quantum gates and qubits will indeed lead one day to a full scale quantum computing machine, a new and not-less exciting development had been taking place over the past decade. -
Search for New Physics in Dijet Resonant Signatures and Recent Results from Run 2 with the CMS Experiment
138 Proceedings of the LHCP2015 Conference, St. Petersburg, Russia, August 31 - September 5, 2015 Editors: V.T. Kim and D.E. Sosnov Search for new physics in dijet resonant signatures and recent results from Run 2 with the CMS experiment GIULIA D’IMPERIO Universit`aLa Sapienza and INFN Roma On behalf of the CMS Collaboration Abstract. A search for narrow resonances in proton-proton collisions at a center-of-mass energy of √s = 13 TeV is presented. The dijet invariant mass distribution of the two leading jets is measured with the CMS detector using early data from Run 2 of the Large Hadron Collider. The dataset presented here was collected in July 2015 and corresponds to an integrated luminosity of 42 1 pb− . The highest observed dijet mass is 5.4 TeV. The spectrum is well described by a smooth parameterization and no evidence for new particle production is observed. Upper limits at a 95% confidence level are set on the cross section of narrow resonances with masses above 1.3 TeV. When interpreted in the context of specific models the limits exclude: string resonances with masses below 5.1 TeV; scalar diquarks below 2.7 TeV; axigluons and colorons below 2.7 TeV; excited quarks below 2.7 TeV; and color octet scalars below 2.3 TeV. Introduction Deep inelastic proton-proton (pp) collisions often produce two or more energetic jets when the constituent partons are scattered with large transverse momenta (pT ). The invariant mass of the two jets with the largest pT in the event (the dijet) has a spectrum that is predicted by quantum chromodynamics (QCD) to fall steeply and smoothly with increasing dijet mass (m jj) [1]. -
Introduction to Jet Finding and Jetography (1)
Introduction to Jet Finding and Jetography (1) Gavin Salam CERN, Princeton University and LPTHE/Paris (CNRS) 2011 IPMU-YITP School and Workshop on Monte Carlo Tools for LHC Yukawa Institute for Theoretical Physics, Kyoto University, Japan September 2011 [Introduction] [Background knowledge] Jets Jets are everywhere in QCD But not the same as partons: Our window on partons Partons ill-defined; jets well-definable Jets lecture 1 (Gavin Salam) MC tools for LHC school September 2011 2 / 30 [Introduction] [Background knowledge] Why do we see jets? Parton fragmentation Gluon emission: dE dθ α ≫ 1 quark Z s E θ At low scales: αs → 1 Jets lecture 1 (Gavin Salam) MC tools for LHC school September 2011 3 / 30 [Introduction] [Background knowledge] Why do we see jets? Parton fragmentation Gluon emission: dE dθ α ≫ 1 quark Z s E θ θ At low scales: gluon αs → 1 Jets lecture 1 (Gavin Salam) MC tools for LHC school September 2011 3 / 30 [Introduction] [Background knowledge] Why do we see jets? Parton fragmentation Gluon emission: dE dθ α ≫ 1 quark Z s E θ At low scales: αs → 1 Jets lecture 1 (Gavin Salam) MC tools for LHC school September 2011 3 / 30 [Introduction] [Background knowledge] Why do we see jets? Parton fragmentation Gluon emission: dE dθ α ≫ 1 quark Z s E θ At low scales: αs → 1 hadronisation non−perturbative Jets lecture 1 (Gavin Salam) MC tools for LHC school September 2011 3 / 30 [Introduction] [Background knowledge] Why do we see jets? Parton fragmentation Gluon emission: π+ dE dθ α ≫ 1 quark Z s E θ KL π0 At low scales: K+ − αs → 1 hadronisation -
Report to Industry Canada
Report to Industry Canada 2013/14 Annual Report and Final Report for 2008-2014 Granting Period Institute for Quantum Computing University of Waterloo June 2014 1 CONTENTS From the Executive Director 3 Executive Summary 5 The Institute for Quantum Computing 8 Strategic Objectives 9 2008-2014 Overview 10 2013/14 Annual Report Highlights 23 Conducting Research in Quantum Information 23 Recruiting New Researchers 32 Collaborating with Other Researchers 35 Building, Facilities & Laboratory Support 43 Become a Magnet for Highly Qualified Personnel in the Field of Quantum Information 48 Establishing IQC as the Authoritative Source of Insight, Analysis and Commentary on Quantum Information 58 Communications and Outreach 62 Administrative and Technical Support 69 Risk Assessment & Mitigation Strategies 70 Appendix 73 2 From the Executive Director The next great technological revolution – the quantum age “There is a second quantum revolution coming – which will be responsible for most of the key physical technological advances for the 21st Century.” Gerard J. Milburn, Director, Centre for Engineered Quantum Systems, University of Queensland - 2002 There is no doubt now that the next great era in humanity’s history will be the quantum age. IQC was created in 2002 to seize the potential of quantum information science for Canada. IQC’s vision was bold, positioning Canada as a leader in research and providing the necessary infrastructure for Canada to emerge as a quantum industry powerhouse. Today, IQC stands among the top quantum information research institutes in the world. Leaders in all fields of quantum information science come to IQC to participate in our research, share their knowledge and encourage the next generation of scientists to continue on this incredible journey. -
Theoretical Aspects of Jet Substructure
Theoretical aspects of jet substructure Mrinal Dasgupta University of Manchester Karlsruhe, July 6th 2017 Based mainly on work with Gavin Salam, Simone Marzani, Alessandro Fregoso, Andrzej Siodmok, Gregory Soyez, Lais Schunk and Alexander Powling Outline • Introduction to boosted particle searches and jet substructure • Theoretical issues in substructure studies • Jet substructure from theory first principles • Some recent progress and developments • Conclusions Boosted object hadronic decays X AT REST BOOSTED X Boosted regime implies studying particles with pT >> MX. Important at the LHC with access to TeV scales in pT. Decay products are collimated. M 2 ✓2 = p2 z(1 z) T − Hadronic two-body decays often reconstructed in single jet. Jets from QCD vs boosted heavy particles What jet do we have here? Jets from QCD vs boosted heavy particles A gluon jet ? Jets from QCD vs boosted heavy particles A quark jet ? Jets from QCD vs boosted heavy particles A W/Z/H ? Jets from QCD vs boosted heavy particles A top quark? Source: An ATLAS boosted top candidate The boosted regime implies a change in paradigm in that jets can be more than quarks and gluons. Isn’t the jet mass a clue? Looking at jet mass is not enough! Jet substructure for LHC searches Since 2008 a vibrant research field emerged based on developing and exploiting jet substructure. Butterworth, Davison Rubin, Salam 2008. Published in PRL. Builds on work by Seymour 1993. BDRS paper has over 600 citations. “Jet substructure” title search on arXiv gives > 100 papers post BDRS. BDRS method results Mass drop method + filtering Signal significance of 4 . -
From Clifford Algebra of Nonrelativistic Phase Space to Quarks And
Adv. Appl. Clifford Algebras 27 (2017), 333–344 c 2015 The Author(s). This article is published with open access at Springerlink.com 0188-7009/010333-12 published online May 29, 2015 Advances in DOI 10.1007/s00006-015-0564-7 Applied Clifford Algebras From Clifford Algebra of Nonrelativistic Phase Space to Quarks and Leptons of the Standard Model Piotr Zenczykowski˙ Abstract. We review a recently proposed Clifford-algebra approach to el- ementary particles. We start with: (1) a philosophical background that motivates a maximally symmetric treatment of position and momen- tum variables, and: (2) an analysis of the minimal conceptual assump- tions needed in quark mass extraction procedures. With these points in mind, a variation on Born’s reciprocity argument provides us with an unorthodox view on the problem of mass. The idea of space quantiza- tion suggests then the linearization of the nonrelativistic quadratic form p2 + x2 with position and momentum satisfying standard commutation relations. This leads to the 64-dimensional Clifford algebra Cl6,0 of non- relativistic phase space within which one identifies the internal quantum numbers of a single Standard Model generation of elementary parti- cles (i.e. weak isospin, hypercharge, and color). The relevant quantum numbers are naturally linked to the symmetries of macroscopic phase space. It is shown that the obtained phase-space-based description of elementary particles gives a subquark-less explanation of the celebrated Harari–Shupe rishon model. Finally, the concept of additivity is used to form novel suggestions as to how hadrons are constructed out of quarks and how macroscopically motivated invariances may be restored at the hadron level. -
Disentangling Heavy Flavor at Colliders
MIT-CTP/4880 Disentangling Heavy Flavor at Colliders Philip Ilten,1, ∗ Nicholas L. Rodd,2, y Jesse Thaler,2, z and Mike Williams1, x 1Laboratory for Nuclear Science, Massachusetts Institute of Technology, Cambridge, MA 02139, U.S.A. 2Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, MA 02139, U.S.A. We propose two new analysis strategies for studying charm and beauty quarks at colliders. The first strategy is aimed at testing the kinematics of heavy-flavor quarks within an identified jet. Here, we use the SoftDrop jet-declustering algorithm to identify two subjets within a large-radius jet, using subjet flavor tagging to test the heavy-quark splitting functions of QCD. For subjets containing a J= or Υ, this declustering technique can also help probe the mechanism for quarkonium production. The second strategy is aimed at isolating heavy-flavor production from gluon splitting. Here, we introduce a new FlavorCone algorithm, which smoothly interpolates from well-separated heavy- quark jets to the gluon-splitting regime where jets overlap. Because of its excellent ability to identify charm and beauty hadrons, the LHCb detector is ideally suited to pursue these strategies, though similar measurements should also be possible at ATLAS and CMS. Together, these SoftDrop and FlavorCone studies should clarify a number of aspects of heavy-flavor physics at colliders, and provide crucial information needed to improve heavy-flavor modeling in parton-shower generators. I. INTRODUCTION The production of charm and beauty quarks at the Large Hadron Collider (LHC) is studied both as a fun- damental probe of Standard Model (SM) phenomenology, and as an important component of searches for physics beyond the SM. -
Many-Body Entanglement in Classical & Quantum Simulators
Many-Body Entanglement in Classical & Quantum Simulators Johnnie Gray A dissertation submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy of University College London. Department of Physics & Astronomy University College London January 15, 2019 2 3 I, Johnnie Gray, confirm that the work presented in this thesis is my own. Where information has been derived from other sources, I confirm that this has been indicated in the work. Abstract Entanglement is not only the key resource for many quantum technologies, but es- sential in understanding the structure of many-body quantum matter. At the interface of these two crucial areas are simulators, controlled systems capable of mimick- ing physical models that might escape analytical tractability. Traditionally, these simulations have been performed classically, where recent advancements such as tensor-networks have made explicit the limitation entanglement places on scalability. Increasingly however, analog quantum simulators are expected to yield deep insight into complex systems. This thesis advances the field in across various interconnected fronts. Firstly, we introduce schemes for verifying and distributing entanglement in a quantum dot simulator, tailored to specific experimental constraints. We then confirm that quantum dot simulators would be natural candidates for simulating many-body localization (MBL) - a recently emerged phenomenon that seems to evade traditional statistical mechanics. Following on from that, we investigate MBL from an entanglement perspective, shedding new light on the nature of the transi- tion to it from a ergodic regime. As part of that investigation we make use of the logarithmic negativity, an entanglement measure applicable to many-body mixed states. -
International Congress of Mathematicians
International Congress of Mathematicians Hyderabad, August 19–27, 2010 Abstracts Plenary Lectures Invited Lectures Panel Discussions Editor Rajendra Bhatia Co-Editors Arup Pal G. Rangarajan V. Srinivas M. Vanninathan Technical Editor Pablo Gastesi Contents Plenary Lectures ................................................... .. 1 Emmy Noether Lecture................................. ................ 17 Abel Lecture........................................ .................... 18 Invited Lectures ................................................... ... 19 Section 1: Logic and Foundations ....................... .............. 21 Section 2: Algebra................................... ................. 23 Section 3: Number Theory.............................. .............. 27 Section 4: Algebraic and Complex Geometry............... ........... 32 Section 5: Geometry.................................. ................ 39 Section 6: Topology.................................. ................. 46 Section 7: Lie Theory and Generalizations............... .............. 52 Section 8: Analysis.................................. .................. 57 Section 9: Functional Analysis and Applications......... .............. 62 Section 10: Dynamical Systems and Ordinary Differential Equations . 66 Section 11: Partial Differential Equations.............. ................. 71 Section 12: Mathematical Physics ...................... ................ 77 Section 13: Probability and Statistics................. .................. 82 Section 14: Combinatorics...........................