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Oxford University Press eBooks

Exact methods in low-dimensional statistical physics and quantum computing : École d'été de physique des Houches, session LXXXIX, 30 June-1 August 2008 : École thématique du CNRS

École d'été de physique théorique, École thématique du Cnrs, Jesper Lykke Jacobsen, Stéphane Ouvry, Vincent Pasquier, Didina Serban, Leticia F. Cugliandolo

Published Jan 1, 2010• 0 citations

Abstract

LECTURES 1. Quantum impurity problems in condensed matter physics 2. Conformal field theory and statistical mechanics 3. Quantum Hall effect 4. Topological quantum phases and quantum computation 5. Four lectures on computational statistical physics 6. Loop models 7. Lectures on the integrability of the 6-vertex model 8. Mathematical aspects of 2D phase transitions 9. Numerical simulations of quantum statistical mechanics models 10. Rapidly rotating atomic Bose gases 11. Quantum Hall effect 12. The dimer model 13. Boundary loop models and 2D quantum gravity 14. Real-space condensation in stochastic mass transport models 15. Quantum spin liquids 16. Super spin chains and super sigma models: a short introduction 17. Integrability and combinatorics: selected topics SEMINARS 18. A rigorous perspective on Liouville quantum gravity and KPZ 19. Topologically protected qubits based on Josepshon junction arrays 20. On some quantum Hall states with negative flux 21. Supersolidity and what soluble models can tell us about it

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Lecturers / Seminar speakers / Participants / Preface Course 1. Fundamental aspects of electron correlations and quantum transport in one-dimensional systems (Dmitrii L. Maslov) Seminar 1. Impurity in the Tomonaga-Luttinger model: A functional integral approach (I.V. Lerner and I.V. Yurkevich) Course 2. Novel phenomena in double layer twodimensional electron systems (J.P. Eisenstein) Course 3. Manybody theory of nonequilibrium systems (Alex Kamenev) Course 4. Non-linear quantum coherence effects in driven mesoscopic systems (V.E. Kravtsov) Course 5. Noise in mesoscopic physics (T. Martin) Seminar 2. Higher moments of noise (Bertrand Reulet) Course 6. Electron subgap transport in hybrid systems combining superconductors with normal or ferromagnetic metals (F.W.J. Hekking) Course 7. Low-temperature transport through a quantum dot (Leonid I. Glazman and Michael Pustilnik) Seminar 3. Transport through quantum point contacts (Yigal Meir) Course 8. Transport at the atomic scale: Atomic and molecular contacts (A. Levy Yeyati and J.M. van Ruitenbeek) Course 9. Solid State Quantum Bit Circuits (Daniel Esteve and Denis Vion) Abstracts of seminars presented at the School

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Statistical mechanics of integrable quantum spin systems

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This script is based on the notes the author prepared to give a set of six lectures at the Les Houches School ``Integrability in Atomic and Condensed Matter Physics'' in the summer of 2018. The responsibility for the selection of the material is partially with the organisers, Jean-Sebastien Caux, Nikolai Kitanine, Andreas Klümper and Robert Konik. The school had its focus on the application of integrability based methods to problems in non-equilibrium statistical mechanics. My lectures were meant to complement this subject with background material on the equilibrium statistical mechanics of quantum spin chains from a vertex model perspective. I was asked to provide a minimal introduction to quantum spin systems including notions like the reduced density matrix and correlation functions of local observables. I was further asked to explain the graphical language of vertex models and to introduce the concepts of the Trotter decomposition and the quantum transfer matrix. This was basically the contents of the first four lectures presented at the school. In the remaining two lectures I started filling these notions with life by deriving an integral representation of the free energy per lattice site for the Heisenberg-Ising chain (alias XXZ model) using techniques based on non-linear integral equations. Up to small corrections the following sections 1-6 display the six lectures almost literally. The only major change is that the example of the XXZ chain has been moved from section 5 to 2. During the school it was not really necessary to introduce the model, since other speakers had explained it before. But for these notes I thought it might be useful to introduce the main example rather early. I also supplemented each lecture with a comment section which contains additional references and material of the type that was discussed informally with the participants.

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Quantum entanglement and information processing = Intrication quantique et traitement de l'information : École d'été de physique des Houches, session LXXIX, 30 June-25 July 2003, Euro Summer School, École thématique du CNRS

École d'été de physique théorique, D. Estève, J. M. Raimond +2 more

Course 1. Principles of quantum computation, by Isaak Chuang Course 2. Mesoscopic state superpositions and decoherence in quantum optics, by S. Haroche Course 3. Cavity quantum electrodynamics, by M. Brune Course 4. Quantum optical implementation of quantum information processing, by P. Zoller, J.I. Cirac, Luming Duan and J.J. Garcia-Ripoll Course 5. Quantum information processing in ion traps I, by R. Blatt, H. Haffner, C.F. Roos, C. Becher and F. Schmidt-Kaler Course 6. Quantum information processing in ion traps II, by D.J. Wineland Course 7. Quantum cryptography with and without entanglement, by N. Gisin and N. Brunner Course 8. Quantum cryptography: from one to many photons, by Philippe Grangier Course 9. Entangled photons and quantum communication, by M. Aspelmeyer, C. Brukner and A. Zeilinger Course 10. Nuclear magnetic resonance quantum computation, by J.A. Jones Course 11. Introduction to quantum conductors, by D.C. Glattli Course 12. Superconducting qubits, by Michel H. Devoret and John M. Martinis Course 13. Superconducting qubits and the physics of Josephson junctions, by John M. Martinis Course 14. Josephson quantum bits based on a Cooper pair box, by Denis Vion Course 15. Quantum tunnelling of magnetization in molecular nanomagnets, by W. Wernsdorfer Course 16. Prospects for srtong cavity quantum electrodynamics with superconducting cirquits, by S.M. Girvin, R.-S. Huang, A. Blais, A. Wallraff andf R.J. Schoelkopf

Elsevier eBooks•Jan 1, 2004•6 citations

LECTURES 1. Quantum impurity problems in condensed matter physics 2. Conformal field theory and statistical mechanics 3. Quantum Hall effect 4. Topological quantum phases and quantum computation 5. Four lectures on computational statistical physics 6. Loop models 7. Lectures on the integrability of the 6-vertex model 8. Mathematical aspects of 2D phase transitions 9. Numerical simulations of quantum statistical mechanics models 10. Rapidly rotating atomic Bose gases 11. Quantum Hall effect 12. The dimer model 13. Boundary loop models and 2D quantum gravity 14. Real-space condensation in stochastic mass transport models 15. Quantum spin liquids 16. Super spin chains and super sigma models: a short introduction 17. Integrability and combinatorics: selected topics SEMINARS 18. A rigorous perspective on Liouville quantum gravity and KPZ 19. Topologically protected qubits based on Josepshon junction arrays 20. On some quantum Hall states with negative flux 21. Supersolidity and what soluble models can tell us about it

Lecturers / Seminar speakers / Participants / Preface Course 1. Fundamental aspects of electron correlations and quantum transport in one-dimensional systems (Dmitrii L. Maslov) Seminar 1. Impurity in the Tomonaga-Luttinger model: A functional integral approach (I.V. Lerner and I.V. Yurkevich) Course 2. Novel phenomena in double layer twodimensional electron systems (J.P. Eisenstein) Course 3. Manybody theory of nonequilibrium systems (Alex Kamenev) Course 4. Non-linear quantum coherence effects in driven mesoscopic systems (V.E. Kravtsov) Course 5. Noise in mesoscopic physics (T. Martin) Seminar 2. Higher moments of noise (Bertrand Reulet) Course 6. Electron subgap transport in hybrid systems combining superconductors with normal or ferromagnetic metals (F.W.J. Hekking) Course 7. Low-temperature transport through a quantum dot (Leonid I. Glazman and Michael Pustilnik) Seminar 3. Transport through quantum point contacts (Yigal Meir) Course 8. Transport at the atomic scale: Atomic and molecular contacts (A. Levy Yeyati and J.M. van Ruitenbeek) Course 9. Solid State Quantum Bit Circuits (Daniel Esteve and Denis Vion) Abstracts of seminars presented at the School

This script is based on the notes the author prepared to give a set of six lectures at the Les Houches School ``Integrability in Atomic and Condensed Matter Physics'' in the summer of 2018. The responsibility for the selection of the material is partially with the organisers, Jean-Sebastien Caux, Nikolai Kitanine, Andreas Klümper and Robert Konik. The school had its focus on the application of integrability based methods to problems in non-equilibrium statistical mechanics. My lectures were meant to complement this subject with background material on the equilibrium statistical mechanics of quantum spin chains from a vertex model perspective. I was asked to provide a minimal introduction to quantum spin systems including notions like the reduced density matrix and correlation functions of local observables. I was further asked to explain the graphical language of vertex models and to introduce the concepts of the Trotter decomposition and the quantum transfer matrix. This was basically the contents of the first four lectures presented at the school. In the remaining two lectures I started filling these notions with life by deriving an integral representation of the free energy per lattice site for the Heisenberg-Ising chain (alias XXZ model) using techniques based on non-linear integral equations. Up to small corrections the following sections 1-6 display the six lectures almost literally. The only major change is that the example of the XXZ chain has been moved from section 5 to 2. During the school it was not really necessary to introduce the model, since other speakers had explained it before. But for these notes I thought it might be useful to introduce the main example rather early. I also supplemented each lecture with a comment section which contains additional references and material of the type that was discussed informally with the participants.

Some geometry and toplogy, G. Marmo and G. Morandi gauge symmetries, toplogy and quantisation, A.P. Balachandran the Chern-Simons-Landau-Ginzburg theory of the fractional quantum Hall effect, S.C. Zhang universitality in the fractional quantum hall, E. Fradkin and A. Lopez anyons and anyon superconductivity, A.L. Fetter bosonization - how to make it work for you in condensed matter, R. Shankar methods of conformal field theory in condensed matter physics, A.W.W. Ludwig integrable models in condensed matter physics, N. Andrei quantum antiferromagnets in two dimensions, S. Sachdev.

Course 1. Principles of quantum computation, by Isaak Chuang Course 2. Mesoscopic state superpositions and decoherence in quantum optics, by S. Haroche Course 3. Cavity quantum electrodynamics, by M. Brune Course 4. Quantum optical implementation of quantum information processing, by P. Zoller, J.I. Cirac, Luming Duan and J.J. Garcia-Ripoll Course 5. Quantum information processing in ion traps I, by R. Blatt, H. Haffner, C.F. Roos, C. Becher and F. Schmidt-Kaler Course 6. Quantum information processing in ion traps II, by D.J. Wineland Course 7. Quantum cryptography with and without entanglement, by N. Gisin and N. Brunner Course 8. Quantum cryptography: from one to many photons, by Philippe Grangier Course 9. Entangled photons and quantum communication, by M. Aspelmeyer, C. Brukner and A. Zeilinger Course 10. Nuclear magnetic resonance quantum computation, by J.A. Jones Course 11. Introduction to quantum conductors, by D.C. Glattli Course 12. Superconducting qubits, by Michel H. Devoret and John M. Martinis Course 13. Superconducting qubits and the physics of Josephson junctions, by John M. Martinis Course 14. Josephson quantum bits based on a Cooper pair box, by Denis Vion Course 15. Quantum tunnelling of magnetization in molecular nanomagnets, by W. Wernsdorfer Course 16. Prospects for srtong cavity quantum electrodynamics with superconducting cirquits, by S.M. Girvin, R.-S. Huang, A. Blais, A. Wallraff andf R.J. Schoelkopf