Learn · Quantum Field Theory and Quantum Entanglement
Lecture 59 of 60Week 12 Entanglement in Quantum Field Theories
From Qubits to Oscillators
Prof. Sudhir K Vempati · IISc Bangalore
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All the lectures
- Introduction and Overview
- Quantization in Quantum Mechanics
- Scalar Field Theory
- Quantization of Scalar Field Theory - I
- Quantization of Scalar Field Theory – II
- Vacuum of scalar quantum fields
- Particle interpretation of scalar fields
- Quantisation of complex scalar field
- Introduction to interactions in Quantum field theories
- Interaction in quantum field theories
- Introduction to Scattering
- Wick’s Theorem
- Propagators
- Phi Four Theory
- Feynman Diagrams
- Dirac Spinors
- Properties of Dirac Spinors
- Dirac Equation
- Solutions of Dirac Equation
- Discrete Symmetries
- Plain Wave Solutions of DE
- Shortcomings of bosonic quantization of spinors
- Quantizing the Dirac Field
- Fermionic Propagators
- Feynman Rules for fermions
- Yukawa Theory
- Interactions of bilinears
- Quantising EM field
- Coulomb gauge quantisation
- Lorenz gauge quantisation
- Gupta-Bleuler Quantization
- Gauge Interactions
- QED
- QED Processes
- Scalar QED
- Radiative corrections
- Renormalizability of QED
- Superficial degree of divergence
- Regularization schemes
- Dimensional Regularization of QED
- Electron Self-Energy
- Vacuum Polarization I
- Vacuum Polarization II
- Vertex Function I
- Vertex Function II
- Einstein-Podolsky-Rosen (EPR) Paradox
- States in the product space
- Properties of product states
- EPR Paradox revisited
- Density operator/matrix
- Matrix SVD and the Bell Basis Formalism
- Bell States and Correlations
- EPR like Experiments Continued
- Bell States and Inequalities
- Bell And CHSH Inequalities
- CHSH inequality violatioins in QM
- Entropy
- Entanglement entropy in QM
- From Qubits to Oscillators
- Applications of Entropy in QFT