Quantum Thermodynamics: A Dynamical Viewpoint

By Ronnie Kosloff. Entropy, 2013

773 citations recorded by the source corpus.

Quantum thermodynamics addresses the emergence of thermodynamic laws from quantum mechanics. The viewpoint advocated is based on the intimate connection of quantum thermodynamics with the theory of open quantum systems. Quantum mechanics inserts dynamics into thermodynamics, giving a sound foundation to finite-time-thermodynamics. The emergence of the 0-law, I-law, II-law and III-law of thermodynamics from quantum considerations is presented. The emphasis is on consistency between the two theories, which address the same subject from different foundations. We claim that inconsistency is the result of faulty analysis, pointing to flaws in approximations.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/10283af0abb2e7596c46821dcc34dc326d3cd866

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Citations in the corpus

The Quantum Harmonic Otto Cycle (2016, methodology): “The dynamical approach to quantum thermodynamics [25] seeks the relation between thermodynamical laws and their quantum origin.”
Quantum and Information Thermodynamics: A Unifying Framework based on Repeated Interactions (2016, methodology): “More specifically, after applying the Born-Markovsecular approximation [1,2,5,59,61], which is usually justified in the weak-coupling limit, the ME can be put into the form [62] dtρXðtÞ 1⁄4 −i1⁄2HXðtÞ; ρXðtÞ þ LβðtÞρXðtÞ ≡ LXðtÞρXðtÞ; ð25Þ”
Dynamics of non-Markovian open quantum systems (2015, background): “In this regard, for small systems interacting with several thermal baths it is possible to give a full characterization of their dynamics as quantum thermal machines within the Markov approximation (Kosloff, 2013).”
Quantum thermodynamics (2015, neutral): “This was studied in [193], see also [24] for a discussion on another formulation of the third law and [211] for a recent review of the laws of thermodynamics in the quantum regime.”
Equivalence of Quantum Heat Machines, and Quantum-Thermodynamic Signatures (2015, background): “In contrast to definitions of heat and work that are based on the derivative of the internal energy [1,77,78], our definitions are obtained by energy balance when coupling only one element (bath or external field) at a time.”
Introduction to Quantum Thermodynamics: History and Prospects (2018, background): “For example for a Bose Einstein Condensate (BEC), the conductance is proportional to the uncondensed fraction leading to Jc ∝ T 3 c [139, 49].”
Thermodynamics of quantum systems under dynamical control (2015, background): “…2014; Campisi et al., 2011, 2009; Esposito et al., 2009; Ford and O’Connell, 2006; Gemmer et al., 2010; Geusic et al., 1967; Geva, 2002; Kieu, 2004; Kosloff, 2013; Lin and Chen, 2003; Quan et al., 2007; Scully et al., 2011) as they employ classical fields or forces to drive the working fluid and…”
Nonequilibrium thermodynamics in the strong coupling and non-Markovian regime based on a reaction coordinate mapping (2016, methodology): “The very definition of “system” becomes ambiguous beyond that regime (also see the discussion on the zeroth law in [8]).”