Uncertainty Principle and the Second Law

Suwailem
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For those who read carefully the paper by Esther Hänggi and Stephanie Wehner: "A violation of the uncertainty principle implies a violation of the second law of thermodynamics":

1. Can you elaborate how extra work can be extracted if the UP is violated?

2. Does the paper implies that uncertainty is always required for the second law to hold, including at the classical level?
 
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Do you have a proper reference (or even a DOI) for that paper?
 
I cannot comment on the topic, but the reference is:

Esther Hänggi & Stephanie Wehner, "A violation of the uncertainty principle implies a violation of the second law of thermodynamics", Nature Communications 4, 1670 (2013), doi:10.1038/ncomms2665

Or simply look here (if you have Access to Nature Communications): http://www.nature.com/ncomms/journal/v4/n4/full/ncomms2665.html
 
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I think if we view entropy as uncertainty (which can be based on Shanon's measure of information), then it is obvious that uncertainty is necessary for the Second Law to hold.
 
Not an expert in QM. AFAIK, Schrödinger's equation is quite different from the classical wave equation. The former is an equation for the dynamics of the state of a (quantum?) system, the latter is an equation for the dynamics of a (classical) degree of freedom. As a matter of fact, Schrödinger's equation is first order in time derivatives, while the classical wave equation is second order. But, AFAIK, Schrödinger's equation is a wave equation; only its interpretation makes it non-classical...
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. Towards the end of the first lecture for the Qiskit Global Summer School 2025, Foundations of Quantum Mechanics, Olivia Lanes (Global Lead, Content and Education IBM) stated... Source: https://www.physicsforums.com/insights/quantum-entanglement-is-a-kinematic-fact-not-a-dynamical-effect/ by @RUTA
Is it possible, and fruitful, to use certain conceptual and technical tools from effective field theory (coarse-graining/integrating-out, power-counting, matching, RG) to think about the relationship between the fundamental (quantum) and the emergent (classical), both to account for the quasi-autonomy of the classical level and to quantify residual quantum corrections? By “emergent,” I mean the following: after integrating out fast/irrelevant quantum degrees of freedom (high-energy modes...

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