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Mathematical Physics

arXiv:1801.00352 (math-ph)
[Submitted on 31 Dec 2017 (v1), last revised 26 Jan 2018 (this version, v2)]

Title:Coherence, squeezing and entanglement -- an example of peaceful coexistence

Authors:K. Górska, A. Horzela, F. H. Szafraniec
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Abstract:After exhaustive inspection of bosonic coherent states appearing in physical literature two of us, Horzela and Szafraniec, came in 2012 to the reasonably general definition which relies exclusively on reproducing kernels. The basic feature of coherent states, which is the resolution of the identity, is preserved though it now achieves advantageous form of the Segal-Bargmann transform.
It turns out that the aforesaid definition is not only extremely economical but also puts under a common umbrella typical coherent states as well as those which are squeezed and entangled. We examine the case here on the groundwork of holomorphic Hermite polynomials in one and two variables. An interesting side of this story is how some limit procedure allows disentangling.
Comments: Contribution to the Proceedings of the conference "Coherent States and their Applications: A Contemporary Panorama", November 14-18th, 2016, Centre International de Rencontres Scientifiques, Luminy, Marseille, France
Subjects: Mathematical Physics (math-ph); Complex Variables (math.CV)
Cite as: arXiv:1801.00352 [math-ph]
  (or arXiv:1801.00352v2 [math-ph] for this version)
  https://doi.org/10.48550/arXiv.1801.00352
Journal reference: Part of the Springer Proceedings in Physics book series (SPPHY, volume 205, pp 89-117, year 2018)
Related DOI: https://doi.org/10.1007/978-3-319-76732-1_5

Submission history

From: Katarzyna Górska [view email]
[v1] Sun, 31 Dec 2017 20:32:56 UTC (26 KB)
[v2] Fri, 26 Jan 2018 11:34:04 UTC (26 KB)
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