Quantum Information Lecture Series
Conducting grass-roots level activities for gaining public awareness of leading scientific research is increasingly important objective. The FIRST Quantum Information Processing Project is actively pursuing such public education for elementary and high school students, with the co-operation of the Japan Science and Technology Agency (JST) and the National Institute of Informatics (NII). We also believe that it is important to aid undergraduate and graduate university students, and researchers and technicians in companies to efficiently gain knowledge of cutting edge knowledge.
It is not easy task for students, researchers, and technicians to absorb all the necessary fundamentals of an interdisciplinary field such as quantum information processing, so that they can themselves conduct frontier research. Textbooks that traditionally should be available for self-study tend to be based on outdated content, and are far removed from active research. Even lectures given at universities are often inadequate since it is difficult for a single lecturer to comprehensively cover a broad field such as quantum information.
In view of this situation, the FIRST Quantum Information Processing Project will electronically publish a lecture series for the topic of quantum information. We aim to provide lecture notes for important topics such that they are freely available for lectures at universities, study sessions in research groups, and for private use of researchers.
QIS385 "Bose-Einstein Condensation and Matter-Wave Lasers"
Bose Einstein condensation was first predicted in 1925 and went without experimental verification for 70 years, neglecting the observation of superfluid liquid Helium. It can therefore be said that it was one of the most difficult experimental topics in the history of physics. After the realization of Bose Einstein condensation of laser cooled neutral atoms in 1995, research in quantum degenerate gases progressed enormously. More recently, exciton-polaritons in semiconductors have been observed to undergo dynamical condensation, and is attracting attention as a non-equilibrium matter wave laser in an open system. In this lecture, I will give an overview of the topics of Bose Einstein condensation at thermal equilibrium, superfluidity, and the BCS phase trasition from a theoretical and experimental perspective. After this, I cover the quantum theory of the matter wave laser and dynamical condensation of exciton-polaritons. Finally, the possibility of the application of exciton-polaritons to quantum simulation will be discussed.
- Contents (PDF 14KB)
- Chapter 1 Introduction (PDF 431KB)
- Chapter 2 Fundamental Concepts of Bose-Einstein Condensation (PDF 407KB)
- Chapter 3 Bose-Einstein Condensation of An Ideal Gas (PDF 281KB)
- Chapter 4 Bogoliubov theory of the weakly interacting Bose gas (PDF 389KB)
- Chapter 5 Superfluidity (PDF 651KB)
- Chapter 6 BCS Phase Transition (PDF 426KB)
- Chapter 7 Several non-trivial issues in Bose-Einstein condensation (PDF 321KB)
- Chapter 8 Quantum theory of matter-wave lasers (PDF 367KB)
- Chapter 9 Master Equation Approach to Matter-Wave Lasers (PDF 485KB)
- Chapter 10 Dynamic condensation of exciton-polaritons (PDF 3.8MB)
- Chapter 11 Application to Quantum Simulation (PDF 838KB)
"Fundamentals of Noise processes"
Fundamentals of statistic, Fourier analysis, statistical and quantum mechanics, and linear and nonlinear circuit theory. Thermal, quantum and 1/f noise in resistors, pn junctions, lasers, and parametric amplifiers. Energy efficiency (bit/photon) and spectral efficiency (bit/s/Hz) in coherent and single photon optical communications. Protocols and security in quantum cryptography. Decoherence of qubits in quantum computation.
- Contents (PDF 11KB)
- Chapter 1 Mathematical Methods (PDF 385KB)
- Chapter 2 Principles of Quantum Statistics (PDF 299KB)
- Chapter 3 Classical and Quantum Circuit Theory (PDF 404KB)
- Chapter 4 Macroscopic Conductors (PDF 405KB)
- Chapter 5 Mesoscopic Conductors (PDF 760KB)
- Chapter 6 Macroscopic pn Junction Diodes (PDF 622KB)
- Chapter 7 Mesoscopic pn Junction – Coulomb Blockade, Squeezing and Single Photon Generation – (PDF 1.2MB)
- Chapter 8 Noise of pn Junction Lasers and Detectors(PDF 1.0MB)
- Chapter 9 1/f Noise and Random Telegraph Signals (PDF 130KB)
- Chapter 10 Negative Conductance Oscillators (Lasers) (PDF 4.6MB)
- Chapter 11 Parametric Amplifiers and Oscillator (PDF 1.2MB)
- Chapter 12 Classical Communication Systems (PDF 476KB)
- Chapter 13 Quantum communication (PDF 605KB)
- Chapter 14 Spin Qubits for Quantum Information Processing (PDF 411KB)
- Chapter 15 Decoherence, refocusing and dynamical decoupling of spin qubits (PDF 1.3MB)
- Chapter 16 Fault-tolerant quantum computers (PDF 3.6MB)