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Indian Institute of Science Education and Research Berhampur

PHY 631: Open quantum systems and quantum thermodynamics

Open quantum systems: Density matrix formalism. Quantum entropies: (i) Von Neumann entropy (ii) Relative entropy. Time evolution in closed and open quantum systems; Unitary dynamics; Markovian dynamics: (i) Completely positive maps, (ii) Microscopic derivations; Non-Markovian dynamics, (i) Integro-Differential Models, (ii) Time-Convolutionless Forms. Jaynes-Cummings model. The Caldeira-Leggett model Quantum thermodynamics: The laws of thermodynamics in the quantum regime. Heat and work in the quantum regime. Quantum thermal machines and the Carnot limit, (i) Stroke thermal machines, (ii) Continuous thermal machines. Quantum Maxwell demon.

References:

• A. Rivas and S. F. Huelga (2011) Open Quantum Systems: An Introduction (Berlin: Springer).
• H. P. Breuer and F. Petruccione (2002) The Theory of Open Quantum Systems (Oxford: Oxford University Press).
• D. Gelbwaser-Klimovsky, W. Niedenzu and G. Kurizki, Thermodynamics of Quantum Systems Under Dynamical Control, Advances in Atomic, Molecular, and Optical Physics 64, 329 (2015).
• R. Kosloff and Y. Rezek, The Quantum Harmonic Otto Cycle, Entropy (2017), 19,136.
• R. Alicki, The quantum open system as a model of the heat engine, J. Phys. A: Math. Gen., 12, L103 (1979).
• F. Binder, L. A. Correa, C. Gogolin, J. Anders, and G. Adesso (eds.), Thermodynamics in the quantum regime-Recent Progress and Outlook, (Springer International Publishing), 2018.

Prerequisites:

• PHY 301, PHY 302, PHY 303, PHY 304, PHY 306

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