【Title】: Lectures on Quantum Thermodynamics
【Speaker】: Prof. Dr. Norton Gomes de Almeida, Physics Institute Federal University of Goiás
【Location】: 29-414
【Time】: Oct. 8, 14:00-17:00, other courses are arranged in every Monday and Wednesday (14:00-17:00), 2 Seminars+10 Lectures
Course syllabus Overview of classical thermodynamics. Laws of classical thermodynamics. Applications: Carnot cycle. Carnot's theorem: the maximum efficiency of a heat engine. Thermodynamic potentials: the Helmholtz potential and the Gibbs potential. Enthalpy. Crookes' fluctuation theorem. Jarzynski equality for thermodynamic potentials. Overview of quantum thermodynamics: heat and work. Quantum fluctuation theorems. Applications of quantum thermodynamics: quantum thermal machines. The Otto cycle with bosonic and fermionic working substances. Parametric oscillator (squeezing) as working substance. Thermal reservoirs versus non-thermal reservoirs.
Thermodynamics class schedule
Day 1: Laws of classical thermodynamics. Applications: Carnot cycle. Carnot's theorem: the maximum efficiency of a heat engine.
Day 2: Thermodynamic potentials: the Helmholtz potential and the Gibbs potential. Enthalpy.
Day 3: Crookes’ fluctuation theorem. Jarzynski equality for thermodynamic potentials.
Day 4: Overview on quantum thermodynamics: heat and work. Quantum open systems: the master equation under weak coupling and Markovian conditions.
Day 5: Gibbs states as equilibrium states. Gibbs states for harmonic oscillators and twolevel systems. Quantum fluctuation theorems.
Day 6: Applications of quantum thermodynamics: quantum thermal machines. The Otto cycle with bosonic and fermionic working substances.
Day 7: Quantum friction and entropy production. Comparison between friction at negative temperatures and friction at positive temperatures.
Day 8: Parametric oscillator (squeezing) as working substance. Thermal reservoirs versus non-thermal reservoirs. Master equation for squeezed reservoirs: steady states.
Day 9: Two-level systems as working substances. Master equation for two-level fermionic systems. Negative temperatures. Otto cycle. Efficiency. Quantum friction and entropy production.
Day 10: Some directions to follow: perspectives: work in progress.
Bibliography
[1] CALLEN, H. B. Thermodynamics and an Introduction to Thermostatistics. 2. ed. [S.l.]: John Wiley & Sons, 1985. ISBN 978-0-471-86256-7.
[2] GREINER, W.; NEISE, L.; STÖCKER, H. Thermodynamics and Statistical Mechanics. [S.l.]: Springer-Verlag New York, 1995. ISBN 978-0-387-94299-5.
[3] DEFFNER, S.; LUTZ, E. Generalized clausius inequality for nonequilibrium quantum processes. Phys. Rev. Lett., American Physical Society, v. 105, p. 170402, Oct 2010. .
[4] VINJANAMPATHY, S.; ANDERS, J. Quantum thermodynamics. Contemporary Physics, Taylor & Francis, v. 57, n. 4, p. 545–579, 2016. .
[5] ALICKI, R. The quantum open system as a model of the heat engine. Journal of Physics A: Mathematical and General, IOP Publishing, v. 12, n. 5, p. L103– L107, may 1979. .
[6] QUAN, H. T. et al. Quantum thermodynamic cycles and quantum heat engines. Phys. Rev. E, American Physical Society, v. 76, p. 031105, Sep 2007. .
[7] ROSNAGEL, J. et al. A single-atom heat engine. Science, American Association for the Advancement of Science, v. 352, n. 6283, p. 325–329, 2016. ISSN 0036-8075. . [8] LONG, R.; LIU, W. Efficiency of quantum otto refrigerators with squeezing. Phys. Rev. E, American Physical Society, v. 91, p. 062137, Jun 2015. .
[9] KLAERS, J. et al. Squeezed thermal reservoirs as a resource for a nanomechanical engine beyond the carnot limit. Phys. Rev. X, American Physical Society, v. 7, p. 031044, Sep 2017. .
[10] ASSIS, R. J. de et al. Two-level quantum otto heat engine operating with unit efficiency far from the quasi-static regime under a squeezed reservoir. Journal of Physics B: Atomic, Molecular and Optical Physics, 2020. .
[11] . ASSIS, R. J. de et al. Efficiency of a quantum otto heat engine operating under a reservoir at effective negative temperatures. Phys. Rev. Lett., American Physical Society, v. 122, p. 240602, Jun 2019. .
[12] SRIKANTH, R.; BANERJEE, S. Squeezed generalized amplitude damping chan- nel. Phys. Rev. A, American Physical Society, v. 77, p. 012318, Jan 2008. .
