Angular momentum conservation in measurements on spin Bose-Einstein condensates View Full Text


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Article Info

DATE

2014-03

AUTHORS

Franck Laloë, William J. Mullin

ABSTRACT

We discuss a thought experiment where two operators, Alice and Bob, perform transverse spin measurements on a quantum system; this system is initially in a double Fock spin state, which extends over a large distance in space so that the two operators are far away from each other. Standard quantum mechanics predicts that, when Alice makes a few measurements, a large transverse component of the spin angular momentum may appear in Bob’s laboratory. A paradox then arises since local angular momentum conservation seems to be violated. It has been suggested that this angular momentum may be provided by the interaction with the measurement apparatuses. We show that this solution of the paradox is not appropriate, so that another explanation must be sought. The general question is the retroaction of a quantum system onto a measurement apparatus. For instance, when the measured system is entangled with another quantum system, can its reaction on a measurement apparatus be completely changed? Is angular momentum conserved only on average over several measurements, but not during one realization of the experiment? More... »

PAGES

47

References to SciGraph publications

  • 2011-04. ‘Measurement of quantum mechanical operators’ revisited in THE EUROPEAN PHYSICAL JOURNAL D
  • 1991-03. On the concept of spontaneously broken gauge symmetry in condensed matter physics in FOUNDATIONS OF PHYSICS
  • 2005-04. The hidden phase of Fock states; quantum non-local effects in THE EUROPEAN PHYSICAL JOURNAL D
  • 1952-09. Die Messung quantenmechanischer Operatoren in ZEITSCHRIFT FÜR PHYSIK A HADRONS AND NUCLEI
  • 2012-06. Nonlocal Appearance of a Macroscopic Angular Momentum in INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
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    http://scigraph.springernature.com/pub.10.1140/epjd/e2013-40481-x

    DOI

    http://dx.doi.org/10.1140/epjd/e2013-40481-x

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