PL EN


Preferences help
enabled [disable] Abstract
Number of results
Journal
2008 | 6 | 1 | 178-183
Article title

On the role of entanglement in Schrödinger’s cat paradox

Content
Title variants
Languages of publication
EN
Abstracts
EN
In this paper we re-investigate the core of Schrödinger’s “cat paradox”. We argue that one has to distinguish clearly between superpositions of macroscopic cat states |☺〉 + |☹〉 and superpositions of entangled states |☺, ↑〉 + |☹, ↓〉 which comprise both the state of the cat (☺=alive, ☹=dead) and the radioactive substance (↑=not decayed, ↓=decayed). It is shown, that in the case of the cat experiment recourse to decoherence or other mechanisms is not necessary in order to explain the absence of macroscopic superpositions. Additionally, we present modified versions of two quantum optical experiments as experimenta crucis. Applied rigorously, quantum mechanical formalism reduces the problem to a mere pseudo-paradox.
Publisher
Journal
Year
Volume
6
Issue
1
Pages
178-183
Physical description
Dates
published
1 - 3 - 2008
online
26 - 3 - 2008
References
  • [1] S. Gigan, et al., Nature 444, 67 (2006) http://dx.doi.org/10.1038/nature05273[Crossref]
  • [2] O. Arcizet, P.-F. Cohadon, T. Briant, M. Pinard, A. Heidmann, Nature 444, 71 (2006) http://dx.doi.org/10.1038/nature05244[Crossref]
  • [3] D. Kleckner, D. Bouwmeester, Nature 444, 75 (2006) http://dx.doi.org/10.1038/nature05231[Crossref]
  • [4] W. Marshall, C. Simon, R. Penrose, D. Bouwmeester, Phys. Rev. Lett. 91, 130401 (2003)
  • [5] O. Dannenberg, M. Mackie, Phys. Rev. A 74, 053601 (2006)
  • [6] A.J. Leggett, Science 307, 871 (2005) http://dx.doi.org/10.1126/science.1109541[Crossref]
  • [7] E. Schrödinger, Naturwissenschaften 23, 807; 823; 844 (1935) http://dx.doi.org/10.1007/BF01491891[Crossref]
  • [8] A. Einstein, B. Podolosky, N. Rosen, Phys. Rev. 47, 777 (1935) http://dx.doi.org/10.1103/PhysRev.47.777[Crossref]
  • [9] J. Dunningham, A. Rau, K. Burnett, Science 307, 872 (2005) http://dx.doi.org/10.1126/science.1109545[Crossref]
  • [10] R. Omnès, The Interpretation of Quantum Mechanics (Princeton University Press, Princeton, 1994)
  • [11] G. Auletta, Foundations and Interpretation of Quantum Mechanics (World Scientific Publishing Co. Pte. Ltd., Singapore, 2000)
  • [12] C. Monroe, et al., Science 272, 1131 (1996) http://dx.doi.org/10.1126/science.272.5265.1131[Crossref]
  • [13] M. Brune, et al., Phys. Rev. Lett. 77, 4887 (1996) http://dx.doi.org/10.1103/PhysRevLett.77.4887[Crossref]
  • [14] S. Schaufler, M. Freyberger, W. Schleich, J. Mod. Opt. 41, 1765 (1994) http://dx.doi.org/10.1080/09500349414551721[Crossref]
  • [15] L. Davidovich, M. Brune, J.M. Raimond, S. Haroche, Phys. Rev. A 53, 1295 (1996) http://dx.doi.org/10.1103/PhysRevA.53.1295[Crossref]
  • [16] S. Rinner, H. Walther, E. Werner, Phys. Rev. Lett. 93, 160407 (2004)
  • [17] S. Rinner, E. Werner, T. Becker, H. Walther, Phys. Rev. A 74, 041802(R) (2006)
  • [18] R. Penrose, The Large, the Small and the Human Mind (Cambridge University Press, Cambridge, 1997)
  • [19] J. von Neumann, Mathematische Grundlagen der Quantenmechanik (Springer Verlag, Berlin, 1932)
Document Type
Publication order reference
YADDA identifier
bwmeta1.element.-psjd-doi-10_2478_s11534-008-0021-5
Identifiers
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.