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Maxwell’s Demon in Quantum Mechanics

Hemmo, Meir and Shenker, Orly R. (2020) Maxwell’s Demon in Quantum Mechanics. Entropy, 22. p. 269. ISSN 1099-4300

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Abstract

Maxwell’s Demon is a thought experiment devised by J. C. Maxwell in 1867 in order to show that the Second Law of thermodynamics is not universal, since it has a counter-example. Since the Second Law is taken by many to provide an arrow of time, the threat to its universality threatens the account of temporal directionality as well. Various attempts to “exorcise” the Demon, by proving that it is impossible for one reason or another, have been made throughout the years, but none of them were successful. We have shown (in a number of publications) by a general state-space argument that Maxwell’s Demon is compatible with classical mechanics, and that the most recent solutions, based on Landauer’s thesis, are not general. In this paper we demonstrate that Maxwell’s Demon is also compatible with quantum mechanics. We do so by analyzing a particular (but highly idealized) experimental setup and proving that it violates the Second Law. Our discussion is in the framework of standard quantum mechanics; we give two separate arguments in the framework of quantum mechanics with and without the projection postulate. We address in our analysis the connection between measurement and erasure interactions and we show how these notions are applicable in the microscopic quantum mechanical structure. We discuss what might be the quantum mechanical counterpart of the classical notion of “macrostates”, thus explaining why our Quantum Demon setup works not only at the micro level but also at the macro level, properly understood. One implication of our analysis is that the Second Law cannot provide a universal lawlike basis for an account of the arrow of time; this account has to be sought elsewhere.


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Item Type: Published Article or Volume
Creators:
CreatorsEmailORCID
Hemmo, Meir
Shenker, Orly R.
Keywords: Maxwell’s Demon, Landauer’s thesis, entropy, second law of thermodynamics, quantum mechanics,
Subjects: Specific Sciences > Physics
Specific Sciences > Physics > Quantum Mechanics
Specific Sciences > Physics > Statistical Mechanics/Thermodynamics
Depositing User: Orly Shenker
Date Deposited: 16 Sep 2021 18:40
Last Modified: 16 Sep 2021 18:40
Item ID: 19566
Journal or Publication Title: Entropy
DOI or Unique Handle: https://doi.org/10.3390/e22030269
Subjects: Specific Sciences > Physics
Specific Sciences > Physics > Quantum Mechanics
Specific Sciences > Physics > Statistical Mechanics/Thermodynamics
Date: 5 February 2020
Page Range: p. 269
Volume: 22
ISSN: 1099-4300
URI: https://philsci-archive-dev.library.pitt.edu/id/eprint/19566

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