ABOUT THE COURSE:Quantum theory (QT) is empirically a very successful theory; there is however an apparent lack of understanding of the theory. This is mostly due to the fact that, unlike the space-time structure, the cut between the ontology and epistemology in QT is difficult to resolve. The two fundamental concepts–the non-local correlations (entanglement) between space-like separated systems and the indistinguishability (non-orthogonality) of quantum states–is widely believed to separate QT from classical theories. Further, relativity, another successful theory of modern age, brings in its own set of non trivial subtleties when quantum theory is tried to be stitched with it. In this course, we will discuss concepts of quantum entanglement, superposition and quantum information within the framework of relativistic physics.INTENDED AUDIENCE: Msc 1 st and 2 nd year, PhD studentsPREREQUISITES: BSc in Physics and a good grasp of quantum physics
Overview
Syllabus
Week 1: Review of Perturbation from time independent classical fields
Review of Perturbations from time dependent classical fieldsWeek 2: Review of Special Relativity
Quantization of Relativistic particles : KG equationWeek 3: Dirac equation
Quantum theory of fields: Scalar field quantizationWeek 4: Quantum theory of fields: Dirac field quantization
Quantum correlation, propagators and vacuum fluctuationsWeek 5: Quantum theory of Light : coherent and thermal states
Quantum correlation, propagators and vacuum fluctuationsWeek 6:Atom-Field interaction, Unruh deWitt detector
Monopole, Dipole, derivative couplingWeek 7: Spontaneous emissions
Stimulated emissionsWeek 8: Master equation for matter field interaction
Geometric PhaseWeek 9:Relativistic shifts in transitions and correlations : Lamb ShiftWeek 10: Entanglement Harvesting through matter field interactionWeek 11: Bogoliubov TransformationsWeek 12: Entanglement Harvesting in non-inertial systems
Review of Perturbations from time dependent classical fieldsWeek 2: Review of Special Relativity
Quantization of Relativistic particles : KG equationWeek 3: Dirac equation
Quantum theory of fields: Scalar field quantizationWeek 4: Quantum theory of fields: Dirac field quantization
Quantum correlation, propagators and vacuum fluctuationsWeek 5: Quantum theory of Light : coherent and thermal states
Quantum correlation, propagators and vacuum fluctuationsWeek 6:Atom-Field interaction, Unruh deWitt detector
Monopole, Dipole, derivative couplingWeek 7: Spontaneous emissions
Stimulated emissionsWeek 8: Master equation for matter field interaction
Geometric PhaseWeek 9:Relativistic shifts in transitions and correlations : Lamb ShiftWeek 10: Entanglement Harvesting through matter field interactionWeek 11: Bogoliubov TransformationsWeek 12: Entanglement Harvesting in non-inertial systems
Taught by
Prof. Kinjalk Lochan
