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arXiv:1610.01069 · Quantum science and technology

Lectures on General Quantum Correlations and their Applications

Himadri Shekhar Dhar, Amit Kumar Pal, Debraj Rakshit, Aditi Sen De, Ujjwal Sen

Published Jan 1, 2017• 139 citations
arXivHTMLPDF
DOI
10.1007/978-3-319-53412-1

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1. First Lecture: Basics 1.1 Physical Derivation of the Master Equation 1.2 Some Simple Implications 1.3 Steady State 1.4 Action to the Left 2. Second Lecture: Eigenvalues and Eigenvectors of L 2.1 A Simple Case First 2.2 The General Case 3 Third Lecture: Completeness of the Damping Bases 3.1 Phase Space Functions 3.2 Completeness of the Eigenvectors of L 3.3 Positivity Conservation 3.4 Lindblad Form of Liouville Operators 4 Fourth Lecture: Quantum-Optical Applications 4.1 Periodically Driven Damped Oscillator 4.2 Conditional and Unconditional Evolution 4.3 Physical Signicance of Statistical Operators 5 Fifth Lecture: Statistics of Detected Atoms 5.1 Correlation Functions 5.2 Waiting Time Statistics 5.3 Counting Statistics