Course Identification

[1] Single system: Uncertainty Relations and Statistics
a. Uncertainty relations and quantum measurements
b. Statistical interpretations: Von Neumann's formulation
c. Quantum field effects: Electromagnetic field quantization, states and measurements

[2] Composite systems: System-detector entanglement and complementarity
a. Composite systems: non-separability and entanglement
b. Quantum eraser and basis selection
c. Complementarity without Heisenberg uncertainty

[3] Two-System Entanglement and Nonlocality
a. Entanglement and Bell's inequality violation
b. Einstein, Podolsky and Rosen (EPR) paradox
c. Teleportation of continuous variables

[4] Open Systems: Decoherence and Measurement
a. Quantum measurements as decoherence
b. Markovian decoherence dynamics by master equations

[5] Short-time Non-Markovian Decoherence
a. Non-Markovian dynamics
b. Quantum Zeno effects

[6] Decoherence as Loss of Reversibility
a. Decoherence and reversibility: Quantum Zeno and anti-Zeno effects
b. Thermodynamics and reversibility
c. Projection operator master equations

[7] Protection from Decoherence
a. Decoherence free subspaces
b. Dynamical control of decoherence

Upon successful completion of this course students should be able to:

1. Explain the fundamental concepts of open quantum systems, such as entanglement, measurement theory and system-bath interaction.
2. Analyze different de-coherence mechanisms in several experimental systems.
3. Evaluate the Quantumness of several phenomena, such as teleportation, interaction-free measurement and coherent control of quantum thermodynamics.
4. Formulate their own research topics using concepts and methods learnt.