A quantum version of the classical Szilard engine

• Autorzy: Paul Bracken
• Języki publikacji: EN

Abstrakty

EN

A reinvention of the classical Maxwel demon was proposed by Szilard around the time quantum mechanics was developed. His model continues to attract great interest, especially quantum versions of it. A quantum formulation of the Szilard engine is introduced and investigated here. It is made to operate through specified cycles in such a way that all thermodynamic quantities which pertain to the system can be evaluated exactly in closed form along each sequence of steps through a cycle. It is shown that as a result of the structure of the model, it is possible to calculate and compare various thermodynamic quantities as the engine proceeds around a well defined specific cycle.

Słowa kluczowe

EN

cycle; internal energy; thermodynamics; entropy; quantum system; wavefunction

• Czasopismo: Open Physics
• Rocznik: 2014
• Tom: 12
• Numer: 1
• Strony: 1-8

Daty

wydano

2014-01-01

online

2014-02-02

Twórcy

autor

Paul Bracken

• Department of Mathematics, University of Texas, Edinburg, TX, 78540, USA

Bibliografia

• [1] J. C. Maxwell, Theory of Heat, (Appleton, London, 1879)
• [2] S. G. Rajeev, Ann. Phys. 323, 768 (2008) http://dx.doi.org/10.1016/j.aop.2007.05.001[Crossref]
• [3] E. Fermi, Thermodynamics, (Dover Pub, Mineola, NY, 1956)
• [4] I. Buluta, F. Nori, Science 326, 108 (2009) http://dx.doi.org/10.1126/science.1177838[Crossref]
• [5] J. Q. You, F. Nori, Nature 474, 589 (2011) http://dx.doi.org/10.1038/nature10122[Crossref]
• [6] K. Maruyama, F. Nori, V. Vedral, Rev. Mod. Phys. 81, 1 (2009) http://dx.doi.org/10.1103/RevModPhys.81.1[Crossref]
• [7] S. W. Kim, T. Sagawa, S. De Liberto, M. Ueda, Phys. Rev. Lett. 106, 070401 (2011) http://dx.doi.org/10.1103/PhysRevLett.106.070401[Crossref]
• [8] H. T. Quan, Y. D. Wang, Y. X. Liu, C. P. Sun, F. Nori, Phys. Rev. Lett. 97, 180402 (2006) http://dx.doi.org/10.1103/PhysRevLett.97.180402[Crossref]
• [9] H. T. Quan, Y. X. Liu, C. P. Sun, F. Nori, Phys. Rev. E 76, 031105 (2007) http://dx.doi.org/10.1103/PhysRevE.76.031105[Crossref]
• [10] R. P. Feynman, R. B. Leighton, M. Sands, The Feynman Lectureson Physics, (Addison-Wesley, Reading, MA, 1965)
• [11] L. Szilard, Z. Phys 53, 840 (1929) http://dx.doi.org/10.1007/BF01341281[Crossref]
• [12] W. H. Zurek in Frontiers of Nonequilibrium Statistical Physics, edited by G. T. Moore, M. O. Scully (Plenum, NY, 1986)
• [13] H. S. Leff, A. F. Rex, Maxwell’s Demon, 2, (IOP Press, Bristol, 2003)
• [14] C. M. Bender, D. C. Brody, B. K. Meister, Proc. Royal Soc 461, 733 (2005) http://dx.doi.org/10.1098/rspa.2004.1351[Crossref]
• [15] H. Li, J. Zou, J-G. Li, B. Shao, L-A. Wu, Ann. of Phys. 327, 2955 (2012) http://dx.doi.org/10.1016/j.aop.2012.08.008[Crossref]
• [16] J. von Neumann, Mathematische Grundlagen der Quantenmechanik, (Springer, 1932)
• [17] M. G. Raizen, A. M. Dudarev, Q. Niu, N. J. Fisch, Phys. Rev. Lett. 94, 053003 (2005) http://dx.doi.org/10.1103/PhysRevLett.94.053003[Crossref]
• [18] S. N. Shevchenko, S. Ashhab, F. Nori, Physics Reports 492, 1 (2010) http://dx.doi.org/10.1016/j.physrep.2010.03.002[Crossref]
• [19] Ze-Liang Xiang, S. Ashhab, J. Q. You, F. Nori, Rev. Mod. Phys. 85, 623 (2013) http://dx.doi.org/10.1103/RevModPhys.85.623[Crossref]

Identyfikatory

DOI

10.2478/s11534-014-0431-5