Entanglement and Localization of Wavefunctions

Giraud, Olivier; Georgeot, Bertrand; Martin, John

doi:10.1007/978-90-481-3120-4_5

Request a copy

Contribution to collective works (Parts of books)

Entanglement and Localization of Wavefunctions

Giraud, Olivier; Georgeot, Bertrand; Martin, John

2009 • In Complex Phenomena in Nanoscale Systems, NATO Science for Peace and Security Series B: Physics and Biophysics, Volume . ISBN 978-90-481-3118-1. Springer Netherlands, 2009, p. 51

Permalink
https://hdl.handle.net/2268/36382

DOI
10.1007/978-90-481-3120-4_5

Files (1)Send to Details Statistics Bibliography Similar publications

Files

Full Text

Proceeding.pdf

Publisher postprint (448.75 kB)

Request a copy

All documents in ORBi are protected by a user license.

Send to

RIS BibTex APA Chicago Permalink X Linkedin

Details

Abstract :

[en] We review recent works that relate entanglement of random vectors to their localization properties. In particular, the linear entropy is related by a simple expression to the inverse participation ratio, while next orders of the entropy of entanglement contain information about e.g. the multifractal exponents. Numerical simulations show that these results can account for the entanglement present in wavefunctions of physical systems.

Disciplines :

Physics

Author, co-author :

Giraud, Olivier; UniversitÃ© de Toulouse ; UPS ; Laboratoire de Physique ThÃ©orique (IRSAMC) ; CNRS ; LPT (IRSAMC)

Georgeot, Bertrand; UniversitÃ© de Toulouse ; UPS ; Laboratoire de Physique ThÃ©orique (IRSAMC) ; CNRS ; LPT (IRSAMC)

Martin, John ; Université de Liège - ULiège > Département de physique > Spectroscopie atomique et Physique des atomes froids

Language :

English

Title :

Entanglement and Localization of Wavefunctions

Publication date :

2009

Main work title :

Complex Phenomena in Nanoscale Systems, NATO Science for Peace and Security Series B: Physics and Biophysics, Volume . ISBN 978-90-481-3118-1. Springer Netherlands, 2009, p. 51

ISBN/EAN :

978-90-481-3118-1

Pages :

Additional URL :

http://adsabs.harvard.edu/abs/2009cpns.book...51G

Commentary :

http://de.arxiv.org/abs/0907.3389

Available on ORBi :

since 17 May 2010

Statistics

Number of views

66 (0 by ULiège)

Number of downloads

0 (0 by ULiège)

More statistics

Scopus citations^®

Scopus citations^®
without self-citations

OpenCitations

Bibliography

Amico, L., Fazio, R., Osterloh, A., Vedral, V., (2008) Rev. Mod. Phys, 80, p. 517
Bennett, C.H., Hayden, P., Leung, D., Shor, P., Winter, A., (2005) IEEE Trans. Inf. Theory, 51, p. 56
Bogomolny, E., Schmit, C., (2004) Phys. Rev. Lett, 93, p. 254102
Brennen, G.K., (2003) Quant. Inf. Comp, 3, p. 619
Brown, W.G., Santos, L.F., Starling, D.J., Viola, L., (2008) Phys. Rev. E, 77, p. 021106
Cappellaro, P., Emerson, J., Boulant, N., Ramanathan, C., Cory, D.G., (2005) Phys. Rev. Lett, 94, p. 020502
Emerson, J., Weinstein, Y.S., Saraceno, M., Lloyd, S., Cory, D.S., (2003) Science, 302, p. 2098
Evers F. and Mirlin A.D.:2007. arXiv:0707.4378
Facchi, P., Marzolino, U., Parisi, G., Pascazio, S., Scardicchio, A., (2008) Phys. Rev. Lett, 101, p. 050502
Georgeot, B., Shepelyansky, D.L., (2000) Phys. Rev. E, 62, p. 3504
Georgeot, B., Shepelyansky, D.L., (2000) Phys. Rev. E, 62, p. 6366
(1991) Proceedings of the 52th Les Houches Summer School, , Giannoni M.-J, Voros A. and Zinn-Justin J, Eds, North-Holland, Amsterdam
Giraud, O., (2007) J. Phys. A, 40, p. 2793
Giraud, O., (2007) J. Phys. A, 40, pp. F1043
Giraud, O., Marklof, J., O'Keefe, S., (2004) J. Phys. A, 37, pp. L303
Giraud, O., Georgeot, B., Shepelyansky, D.L., (2005) Phys. Rev. E, 72, p. 036203
Giraud, O., Martin, J., Georgeot, B., (2007) Phys. Rev. A, 76, p. 042333
Giraud, O., Martin, J., Georgeot, B., (2009) Phys. Rev. A, 79, p. 032308
Harrow, A., Hayden, P., Leung, D., (2004) Phys. Rev. Lett, 92, p. 187901
Hayden, P., Leung, D., Shor, P., Winter, A., (2004) Commun. Math. Phys, 250, p. 317
Jozsa, R., Linden, N., (2003) Proc. R. Soc. London Ser. A, 459, p. 2011
Lubkin, E., (1978) J. Math. Phys, 19, p. 1028
Martin J., Giraud O. and Georgeot B.: 2008. Phys. Rev. E, 77, R035201
Mejia-Monasterio, C., Benenti, G., Carlo, G.G., Casati, G., (2005) Phys. Rev. A, 71, p. 062324
Meyer, A.D., Wallach, N.R., (2002) J. Math. Phys, 43, p. 4273
Mirlin, A.D., (2000) Phys. Rep, 326, p. 259
Nielsen, M.A., Chuang, I.L., (2000) Quantum computation and quantum information, , Cambridge University Press, Cambridge
Page, D.N., (1993) Phys. Rev. Lett, 71, p. 1291
Pomeransky, A.A., Shepelyansky, D.L., (2004) Phys. Rev. A, 69, p. 014302
Popescu, S., Rohrlich, D., (1997) Phys. Rev. A, 56, pp. R3319
Rungta, P., Caves, C.M., (2003) Phys. Rev. A, 67, p. 012307
Scott, A.J., (2004) Phys. Rev. A, 69, p. 052330
Sommers, H.-J., Zyczkowski, K., (2004) J. Phys. A, 37, p. 8457
Verstraete, F., Porras, D., Cirac, J.I., (2004) Phys. Rev. Lett, 93, p. 227205
Vidal, G., (2003) Phys. Rev. Lett, 91, p. 147902
Viola, L., Brown, W.G., (2007) J. Math. Phys, 43, p. 8109
Weinstein, Y.S., Hellberg, C.S., (2005) Phys. Rev. Lett, 95, p. 030501
Znidaric, M., (2007) J. Phys. A, 40, pp. F105
Znidaric, M., Prosen, T., Benenti, G., Casati, G., (2007) J. Phys. A, 40, p. 13787