Servicios Personalizados
Revista
Articulo
Indicadores
- Citado por SciELO
- Accesos
Links relacionados
- Similares en SciELO
Compartir
Revista mexicana de física
versión impresa ISSN 0035-001X
Rev. mex. fis. vol.59 no.5 México sep./oct. 2013
Investigación
Operator folding and matrix product states in linearly-coupled bosonic arrays
J. Reslen
Coordinación de Física, Universidad del Atlántico, Km. 7 Antigua vía a Puerto Colombia, A.A. 1890, Barranquilla, Colombia.
Received 29 April 2013
Accepted 12 June 2013
Abstract
A protocol to obtain the matrix product state representation of a class of boson states is introduced. The proposal is presented in the context of linear systems and is tested by performing simulations of a reference model. The method can be applied regardless of the details of the coupling among modes and can be used to extract the most significant contribution of the tensorial representation. Characteristic issues as well as potential variants ofthe proposed protocol are discussed.
Keywords: Quantum simulations; bosonic systems; entanglement.
PACS: 03.67.Ac; 05.30.Jp; 03.65.Ud
Resumen
Se introduce una técnica para obtener la representación en términos de productos de matrices de una clase de estados bosónicos. La técnica se presenta en el contexto de sistemas lineales y se verifica realizando simulaciones de un sistema conocido. Este método se puede aplicar independientemente del tipo de acoplamiento entre modos y se puede usar para extraer la parte más significativa de la representación tensorial del estado. Se discuten tanto las características más importantes como las posibles extensiones de la propuesta.
DESCARGAR ARTÍCULO EN FORMATO PDF
References
1. U. Schollwöck, Annals ofPhys. 326 (2011) 96. [ Links ]
2. F. Verstraete, J.I. Cirac and V. Murg, Adv. in Phys. 57 (2008) 143. [ Links ]
3. D. Perez-Garcia, F. Verstraete, M.M. Wolf and J.I. Cirac, Quantum Inf. Comput. 7 (2007) 401. [ Links ]
4. G. Vidal, Phys. Rev. Lett. 93 (2004) 040502. [ Links ]
5. G. Vidal, Phys. Rev. Lett. 98 (2007) 070201. [ Links ]
6. S.R. White, Phys. Rev. B48 (1993) 10345. [ Links ]
7. U. Schollwöck, Rev. Mod. Phys. 77 (2005) 259. [ Links ]
8. M.C. Bañuls, M.B. Hastings, F. Verstraete and J.I. Cirac, Phys. Rev. Lett. 102 (2009) 240603. N. Schuch, M.M. Wolf and J.I. Cirac, arXiv:1201.3945. [ Links ]
9. G. Evenbly and G. Vidal, New J. Phys. 12 (2010) 025007. G. Evenbly and G. Vidal, arXiv:1210:1895. [ Links ]
10. R.V. Mishmash, I. Danshita, C.W. Clark and L.D. Carr, Phys. Rev. A 80 (2009) 053612. [ Links ]
11. D. Muth and M. Fleischhauer, Phys. Rev. Lett. 105 (2010) 150403. [ Links ]
12. A. Hu, L. Mathey, C.J. Williams and C.W. Clark, Phys. Rev. A 81 (2010) 063602. [ Links ]
13. M. Lacki, D. Delande and J. Zakrzewski, Phys. Rev. A 86 (2012) 013602. [ Links ]
14. J. Reslen and S. Bose, Phys. Rev. A 80 (2009) 012330. J. Reslen, arXiv:1002.4001. [ Links ]
15. S.R. Clark, J. Prior, M.J. Hartmann, D. Jaksch and M.B. Plenio, New J. Phys. 12 (2010) 025005. [ Links ]
16. M.S. Kim, W. Son, V. Buzek and P.L. Knight, Phys. Rev. A 65 (2002) 032323. [ Links ]
17. M.A. Nielsen and I.L. Chuang, Quantum computation and quantum information 10th anniversary edition (Cambridge University Press, Cambridge, 2010) pp. 109-110. [ Links ]
18. A. Peres, Phys. Lett. A 202 (1995) 16. [ Links ]
19. G. Vidal, Phys. Rev. Lett. 91 (2003) 147902. [ Links ]
20. M. Cramer, C.M. Dawson, J. Eisert and T.J. Osborne, Phys. Rev. Lett. 100 (2008) 030602. [ Links ]