Entanglement versus negative domains of Wigner functions

Abstract

References (27)

Citing Articles

Download: PDF (494 kB) or Buy this Article (US$25) (Use Article Pack)

J. P. Dahl,^1,2 H. Mack,¹ A. Wolf,¹ and W. P. Schleich¹
¹Abteilung für Quantenphysik, Universität Ulm, D-89069 Ulm, Germany
²Chemical Physics, Department of Chemistry, Technical University of Denmark, DTU 207, DK-2800 Kgs. Lyngby, Denmark

Received 18 August 2006; published 23 October 2006

Weshow that s waves, that is wave functions that onlydepend on a hyperradius, are entangled if and only ifthe corresponding Wigner functions exhibit negative domains. We illustrate thisfeature using a special class of s waves which allowsus to perform the calculations analytically. This class includes aGaussian, a maximally entangled as well as a "shell" state.

URL:	http://link.aps.org/doi/10.1103/PhysRevA.74.042323
DOI:	10.1103/PhysRevA.74.042323
PACS:	03.67.Mn; 03.65.Ud; 42.50.-p 03.67.Mn Quantum entanglement production, characterization, and manipulation 03.65.Ud Entanglement and quantum nonlocality (e.g. EPR paradox, Bell's inequalities, GHZ states, etc.) 42.50.-p Quantum optics YEAR: 2006
KEYWORDS:	quantum entanglement, wave functions, Clebsch-Gordan coefficients

REFERENCES (27)

View in Separate Window/Tab

For access to fully linked references, you need to log in. For access to fully linked references, you need to Log in.

E. P. Wigner, Phys. Rev. 40, 749 (1932).
S. Parker, S. Bose, and M. B. Plenio, Phys. Rev. A 61, 032305 (2000).
J. F. Clauser, M. A. Horne, A. Shimony, and R. A. Holt, Phys. Rev. Lett. 23, 880 (1969).
A. Einstein, B. Podolsky, and N. Rosen, Phys. Rev. 47, 777 (1935).
B. G. Englert and K. Wódkiewicz, Phys. Rev. A 65, 054303 (2002).
A. J. Bracken, H.-D. Döbner, and J. G. Wood, Phys. Rev. Lett. 83, 3758 (1999);
M. G. Benedict and A. Czirják, Phys. Rev. A 60, 4034 (1999);
J. Schliemann, J. I. Cirac, M. Ku, M. Lewenstein, and D. Loss, Phys. Rev. A 64, 022303 (2001).
R. Pakauskas and L. You, Phys. Rev. A 64, 042310 (2001).
G. C. Ghirardi and L. Marinatto, Phys. Rev. A 70, 012109 (2004).
F. Soto and P. Claverie, J. Math. Phys. 24, 97 (1983).
W. P. Schleich and J. P. Dahl, Phys. Rev. A 65, 052109 (2002).
I. Biaynicki-Birula, M. A. Cirone, J. P. Dahl, M. Fedorov, and W. P. Schleich, Phys. Rev. Lett. 89, 060404 (2002);
J. P. Dahl and W. P. Schleich, Phys. Rev. A 65, 022109 (2002).