Exact methods in low-dimensional statistical physics and quantum computing [[electronic resource] ] : École d'été de physique des Houches, session LXXXIX, 30 June-1 August 2008, École thématique du CNRS / / edited by Jesper Jacobsen ... [et al.]

• Record Nr.: UNINA9910459968303321
• Pubbl/distr/stampa: Oxford, : Oxford University Press, 2010
• ISBN: 1-282-73069-X; 9786612730696; 0-19-157444-9
• Descrizione fisica: 1 online resource (651 p.)
• Altri autori (Persone): JacobsenJesper
• Disciplina: 530.133
• Soggetti: Statistical physics - Mathematical models; Quantum field theory - Mathematical models; Quantum statistics; Quantum computers; Electronic books.
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: ""Contents""; ""List of participants""; ""PART I: LONG LECTURES""; ""1 Quantum impurity problems in condensed matter physics""; ""1.1 Quantum impurity problems and the renormalization group""; ""1.2 Multichannel Kondo model""; ""1.3 Quantum dots: Experimental realizations of one- and two-channel Kondo models""; ""1.4 Quantum impurity problems in Luttinger liquids""; ""1.5 Quantum impurity entanglement entropy""; ""1.6 Y-junctions of quantum wires""; ""1.7 Boundary-condition-changing operators and the X-ray edge singularity""; ""1.8 Conclusions""; ""References""; ""2 Conformal field theory and statistical mechanics""""2.1 Introduction""; ""2.2 Scale invariance and conformal invariance in critical behavior""; ""2.3 The role of the stress tensor""; ""2.4 Radial quantization and the Virasoro algebra""; ""2.5 CFT on the cylinder and torus""; ""2.6 Height models, loop models, and Coulomb gas methods""; ""2.7 Boundary conformal field theory""; ""2.8 Further reading""; ""3 The ; quantum Hall effect""; ""4 Topological phases and quantum computation""; ""4.1 Introduction: The quest for protected qubits""; ""4.2 Topological phenomena in 1D: Boundary modes in the Majorana chain""""4.3 The two-dimensional toric code""; ""4.4 Abelian anyons and quasiparticle statistics""; ""4.5 The honeycomb lattice model""; ""References""; ""5 Four lectures on computational statistical physics""; ""5.1 Sampling""; ""5.2 Classical hard-sphere systems""; ""5.3 Quantum Monte Carlo simulations""; ""5.4 Spin systems: Samples and exact solutions""; ""References""; ""6 Loop models""; ""6.1 Historical perspective""; ""6.2 Brief summary of renormalization theory""; ""6.3 Loop models""; ""6.4 The Coulomb gas""; ""6.5 Summary and perspective""""References""; ""7 Lectures on the integrability of the six-vertex model""; ""7.1 Introduction""; ""7.2 Classical integrable spin chains""; ""7.3 Quantization of local integrable spin chains""; ""7.4 The spectrum of transfer matrices""; ""7.5 The thermodynamic limit""; ""7.6 The six-vertex model""; ""7.7 The six-vertex model on a torus in the thermodynamic limit""; ""7.8 The six-vertex model at the free-fermionic point""; ""7.9 The free energy of the six-vertex model""; ""7.10 Some asymptotics of the free energy""; ""7.11 The Legendre transform of the free energy""""7.12 The limit shape phenomenon""; ""7.13 Semiclassical limits""; ""7.14 The free-fermionic point and dimer models""; ""7.A Appendix""; ""References""; ""8 Mathematical aspects of 2D phase transitions""; ""PART II: SHORT LECTURES""; ""9 Numerical simulations of quantum statistical mechanical models""; ""9.1 Introduction""; ""9.2 A rapid survey of methods""; ""9.3 Path integral and related methods""; ""9.4 Classical worm algorithm""; ""9.5 Projection methods""; ""9.6 Valence bond projection method""; ""References""; ""10 Rapidly rotating atomic Bose gases""