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） 1.1 Berry phase, Berry connection, Berry curvature and Chern number 1.2 Adiabatic evolution 1.3 Non-Abelian Berry phase, Wilson loop 1.4 Quantum geometric tensor, quantum distance and quantum metric 1.5 Hellmann-Feynman theorem 1.6 Thouless-Kohmoto-Nightingale-Nijs formula 1.7 Anomalous Hall effect 1.8 Wannier function 2.1 Green function 2.2 Partition function 2.3 Matsubara formalism 2.4 Feynmann diagram 2.5 conductivity 2.6 optical responses 2.7 nonlinear conductivity

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布能　担当分：「量子測定と量子制御」（サイエンス社）

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