Theory of Thermodynamic Measurements of Quantum Systems Far from Equilibrium

Abhay Shastry (Autor)

Buch | Hardcover

XVII, 144 Seiten

2019 | 1st ed. 2019
Springer International Publishing (Verlag)
978-3-030-33573-1 (ISBN)

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This thesis presents several related advances in the field of nonequilibrium quantum thermodynamics. The central result is an ingenious proof that the local temperature and voltage measurement in a nonequilibrium system of fermions exists and is unique, placing the concept of local temperature on a rigorous mathematical footing for the first time. As an intermediate step, a proof of the positivity of the Onsager matrix of linear response theory is given -- a statement of the second law of thermodynamics that had lacked an independent proof for 85 years. A new experimental method to measure the local temperature of an electron system using purely electrical techniques is also proposed, which could enable improvements to the spatial resolution of thermometry by several orders of magnitude. Finally, a new mathematically-exact definition for the local entropy of a quantum system in a nonequilibrium steady state is derived. Several different measures of the local entropy are discussed, relating to the thermodynamics of processes that a local observer with varying degrees of information about the microstates of the system could carry out, and it is shown that they satisfy a hierarchy of inequalities. Proofs of the third law of thermodynamics for generic open quantum systems are presented, taking into account the entropic contribution due to localized states. Appropriately normalized (per-state) local entropies are defined and are used to quantify the departure from local equilibrium.

Abhay Shastry is a postdoctoral researcher in the Department of Chemistry at the University of Toronto. He received his PhD from the University of Arizona in 2018.

Chapter1. Introduction.- Chapter2. Temperature and Voltage.- Chapter3. Coldest Measurable Temperature.- Chapter4. STM as a Thermometer.- Chapter5. Entropy.- Chapter6. Concluding Remarks.

Erscheinungsdatum	11.12.2019
Reihe/Serie	Springer Theses
Zusatzinfo	XVII, 144 p. 24 illus., 22 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	418 g
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
Schlagworte	local entropy in quantum system • nonequilibrium quantum thermodynamics • Onsager matrix • Scanning Probe Microscopy • second law of thermodynamics • temperature in quantum system • temperature outside equilibrium • voltage in quantum system
ISBN-10	3-030-33573-9 / 3030335739
ISBN-13	978-3-030-33573-1 / 9783030335731
Zustand	Neuware