量子物理学

前半６回（布能　担当分） 1. Dynamics of open quantum systems 1.1 Evolution of closed systems 1.2 Pure states, mixed states, and von Neumann equation 1.3 From closed system to open systems 1.4 Kraus representation and infinitesimal time-evolution 1.5 GKLS quantum master equation 2. Mathematical properties of KGLS equation 2.1 CPTP maps 2.2 Quantum dynamical semigroups 2.3 Spohn's representation 2.4 Information erasure: Landauer's bound 3. Derivation of weak-coupling and Born-Markov-Secular master equation 3.1 Nakajima-Zwanzig projection operator method 3.2 Redfield equation 3.3 Secular approximation 3.4 KMS condition and detailed balance 3.5 Pauli master equation 4. Quantum measurement 4.1 Discrete quantum measurement 4.2 Continous quantum measurement and stochastic Schrodinger equation 5. Advanced topics 5.1 Symmetry of Liouvillians 5.2 Reservior engineering 5.3 Exceptional points 後半６回（江澤　担当分） 1 Linear response theory 1.1 Kubo formula 1.2 Lehmann representation 1.4 Electric conductivity 1.5 Baker-Campbell-Hausdorff formula 1.6 Bloch-de Dominicis’s theorem 2.6 Kubo-Greenwood formula 2 Quantum geometry 2.1 Berry phase 2.2 Brillouin zone 2.3 non-Abelian Berry connection 2.4 Quantum geometric tensor and quantum metric 2.5 Quantum distance 2.6 Two-band model 2.7 Pontryagin number 2.8 Dirac model 2.9 Adiabatic evolution 2.10 Hellmann-Feynman theorem 2.11 Thouless-Kohmoto-Nightingale-Nijs formula 2.12 Optical absorption and quantum metric 2.13 Wannier function 2.14 Graphene 2.15 Boron-Nitride 2.16 Haldane model and Kane-Mele model 3 Boltzmann equation 3.1 Drude conductivity 3.2 Nonlinear Drude conductivity 3.3 Temperature gradient and Seebeck effect

布能担当講義のZoom URLは https://u-tokyo-ac-jp.zoom.us/***** ミーティング ID: ********** 江澤担当講義のZoom URLは https://u-tokyo-ac-jp.zoom.us/***** ミーティング ID: **********

レポートにより行う

布能　担当分：「量子測定と量子制御」（サイエンス社）

指示しない