Abstract:
We calculate the geometric phase of a bipartite two-level system coupled to an external environment. We analyze the reduced density matrix for an arbitrary initial state of the composite system and compute the correction to the unitary geometric phase through a kinematic approach. In all cases considered, we observe a similar structure as a function of the degree of the entanglement of the initial state. Further, we compute the entanglement entropy and concurrence of the bipartite state and analyze if there is any relation among these quantities and the geometric phase acquired during the nonunitary system's evolution. Finally, we discuss the results obtained. © 2010 The American Physical Society.
Registro:
Documento: |
Artículo
|
Título: | Environmentally induced effects on a bipartite two-level system: Geometric phase and entanglement properties |
Autor: | Lombardo, F.C.; Villar, P.I. |
Filiación: | Departamento de Física Juan José Giambiagi, Facultad de Ciencias Exactas y Naturales, Ciudad Universitaria, Pabellón I, 1428 Buenos Aires, Argentina Computer Applications on Science and Engineering Department, Barcelona Supercomputing Center (BSC), 29 Jordi Girona, E-08034 Barcelona, Spain
|
Palabras clave: | Bipartite state; Composite systems; Entanglement entropy; Entanglement properties; External environments; Geometric phase; Initial state; Reduced-density matrix; Two-level system |
Año: | 2010
|
Volumen: | 81
|
Número: | 2
|
DOI: |
http://dx.doi.org/10.1103/PhysRevA.81.022115 |
Título revista: | Physical Review A - Atomic, Molecular, and Optical Physics
|
Título revista abreviado: | Phys Rev A
|
ISSN: | 10502947
|
CODEN: | PLRAA
|
Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v81_n2_p_Lombardo |
Referencias:
- Vidal, G., (2003) Phys. Rev. Lett., 91, p. 147902. , PRLTAO 0031-9007 10.1103/PhysRevLett.91.147902
- Vidal, G., (2004) Phys. Rev. Lett., 93, p. 040502. , PRLTAO 0031-9007 10.1103/PhysRevLett.93.040502
- Stamp, E.P.C., Gaita-Ariño, A., (2009) J. Mater. Chem., 19, p. 1718. , JMACEP 0959-9428 10.1039/b811778k
- Leggett, A.J., Chakravarty, S., Dorsey, A.T., Fisher, M.P.A., Garg, A., Zwerger, W., (1987) Rev. Mod. Phys., 59, p. 1. , RMPHAT 0034-6861 10.1103/RevModPhys.59.1
- Zurek, W.H., (1982) Phys. Rev. D, 26, p. 1862. , RMPHAT 1550-7998 10.1103/PhysRevD.26.1862
- Schlosshauer, M., (2007) Decoherence and the Quantum-to-Classical Transition, , Springer, New Year
- Pancharatnam, S., (1957) Proc. Indian Acad. Sci. Sect. A, 44, p. 247
- Berry, M.V., (1984) Proc. R. Soc. London A, 392, p. 45. , RMPHAT 1364-5021 10.1098/rspa.1984.0023
- Aharonov, Y., Anandan, J., (1987) Phys. Rev. Lett., 58, p. 1593. , PRLTAO 0031-9007 10.1103/PhysRevLett.58.1593
- Anandan, J., Aharonov, Y., (1988) Phys. Rev. D, 38, p. 1863. , PRLTAO 1550-7998 10.1103/PhysRevD.38.1863
- Tong, D.M., Sjoqvist, E., Kwek, L.C., Oh, C.H., (2004) Phys. Rev. Lett., 93, p. 080405. , PRLTAO 0031-9007 10.1103/PhysRevLett.93.080405
- Tong, D.M., Sjoqvist, E., Kwek, L.C., Oh, C.H., (2005) Phys. Rev. Lett., 95, p. 249902. , PRLTAO 0031-9007 10.1103/PhysRevLett.95.249902
- Lombardo, F.C., Villar, P.I., (2006) Phys. Rev. A, 74, p. 042311. , PLRAAN 1050-2947 10.1103/PhysRevA.74.042311
- Lombardo, F.C., Villar, P.I., (2008) Int. J. Quantum. Inform., 6, p. 707713. , 0219-7499 10.1142/S0219749908003992
- Villar, P.I., (2009) Phys. Lett., 373, p. 206. , PYLAAG 0375-9601 10.1016/j.physleta.2008.11.038
- Whitney, R.S., Gefen, Y., (2003) Phys. Rev. Lett., 90, p. 190402. , PRLTAO 0031-9007 10.1103/PhysRevLett.90.190402
- Whitney, R.S., Makhlin, Y., Shnirman, A., Gefen, Y., (2005) Phys. Rev. Lett., 94, p. 070407. , PRLTAO 0031-9007 10.1103/PhysRevLett.94.070407
- Carollo, A., Fuentes-Guridi, I., Santos, M.F., Vedral, V., (2003) Phys. Rev. Lett., 90, p. 160402. , PRLTAO 0031-9007 10.1103/PhysRevLett.90.160402
- Carollo, A., Fuentes-Guridi, I., Santos, M.F., Vedral, V., (2004) Phys. Rev. Lett., 92, p. 020402. , PRLTAO 0031-9007 10.1103/PhysRevLett.92.020402
- De Chiara, G., Lozinski, A., Palma, G.M., (2007) Eur. Phys. J. D, 41, p. 179. , EPJDF6 1434-6060 10.1140/epjd/e2006-00186-y
- De Chiara, G., Palma, G.M., (2003) Phys. Rev. Lett., 91, p. 090404. , PRLTAO 0031-9007 10.1103/PhysRevLett.91.090404
- Benerjee, S., Skikanth, R., (2008) Eur. Phys. J. D, 46, p. 335. , EPJDF6 1434-6060 10.1140/epjd/e2007-00291-5
- Rezakhani, A.T., Zanardi, P., (2006) Phys. Rev. A, 73, p. 012107. , PLRAAN 1050-2947 10.1103/PhysRevA.73.012107
- Milman, P., Mosseri, R., (2003) Phys. Rev. Lett., 90, p. 230403. , PRLTAO 0031-9007 10.1103/PhysRevLett.90.230403
- Milman, P., (2006) Phys. Rev. A, 73, p. 062118. , PLRAAN 1050-2947 10.1103/PhysRevA.73.062118
- Batle, J., Casas, M., Plastino, A., Plastino, A.R., (2005) Phys. Lett., 343, p. 12. , PYLAAG 0375-9601 10.1016/j.physleta.2005.06.001
- Cui, H.T., Wang, L.C., Yi, X.X., (2007) Eur. Phys. J. D, 41, p. 385. , EPJDF6 1434-6060 10.1140/epjd/e2006-00224-x
- Sjoqvist, E., Pati, A.K., Ekert, A., Anandan, J.S., Ericsson, M., Oi, L.D.K., Vedral, V., (2000) Phys. Rev. Lett., 85, p. 2845. , PRLTAO 0031-9007 10.1103/PhysRevLett.85.2845
- Lombardo, F.C., Villar, P.I., (2007) Phys. Lett., 371, p. 190. , PYLAAG 0375-9601 10.1016/j.physleta.2007.08.019
- Wootters, W.K., (1998) Phys. Rev. Lett., 80, p. 2245. , PRLTAO 0031-9007 10.1103/PhysRevLett.80.2245
- Basu, B., (2006) Europhys. Lett., 73, p. 833. , EULEEJ 0295-5075 10.1209/epl/i2005-10478-2
- Paz, J.P., Zurek, W.H., (2001) Environment Induced Superselection and the Transition from Quantum to Classical in Coherent Matter Waves, les Houches Session LXXII, , edited by R. Kaiser, C. Westbrook, and F. David (Springer-Verlag, Berlin
- Zurek, W.H., (2003) Rev. Mod. Phys., 75, p. 715. , RMPHAT 0034-6861 10.1103/RevModPhys.75.715
Citas:
---------- APA ----------
Lombardo, F.C. & Villar, P.I.
(2010)
. Environmentally induced effects on a bipartite two-level system: Geometric phase and entanglement properties. Physical Review A - Atomic, Molecular, and Optical Physics, 81(2).
http://dx.doi.org/10.1103/PhysRevA.81.022115---------- CHICAGO ----------
Lombardo, F.C., Villar, P.I.
"Environmentally induced effects on a bipartite two-level system: Geometric phase and entanglement properties"
. Physical Review A - Atomic, Molecular, and Optical Physics 81, no. 2
(2010).
http://dx.doi.org/10.1103/PhysRevA.81.022115---------- MLA ----------
Lombardo, F.C., Villar, P.I.
"Environmentally induced effects on a bipartite two-level system: Geometric phase and entanglement properties"
. Physical Review A - Atomic, Molecular, and Optical Physics, vol. 81, no. 2, 2010.
http://dx.doi.org/10.1103/PhysRevA.81.022115---------- VANCOUVER ----------
Lombardo, F.C., Villar, P.I. Environmentally induced effects on a bipartite two-level system: Geometric phase and entanglement properties. Phys Rev A. 2010;81(2).
http://dx.doi.org/10.1103/PhysRevA.81.022115