Abstract:
We compute the geometric phase for a spin-1/2 particle under the presence of a composite environment, composed of an external bath (modeled by an infinite set of harmonic oscillators) and another spin-1/2 particle. We consider both cases: an initial entanglement between the spin-1/2 particles and an initial product state in order to see if the initial entanglement has an enhancement effect on the geometric phase of one of the spins. We follow the nonunitary evolution of the reduced density matrix and evaluate the geometric phase for a single two-level system. We also show that the initial entanglement enhances the sturdiness of the geometric phase under the presence of an external composite environment. © 2011 American Physical Society.
Registro:
Documento: |
Artículo
|
Título: | Geometric phases in the presence of a composite environment |
Autor: | Villar, P.I.; Lombardo, F.C. |
Filiación: | Departamento de Física Juan José Giambiagi, FCEyN UBA, Ciudad Universitaria, 1428 Buenos Aires, Argentina
|
Palabras clave: | Composite environment; Enhancement effects; Geometric phase; Geometric phasis; Harmonic oscillators; Reduced-density matrix; Two-level system; Quantum entanglement; Geometry |
Año: | 2011
|
Volumen: | 83
|
Número: | 5
|
DOI: |
http://dx.doi.org/10.1103/PhysRevA.83.052121 |
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_v83_n5_p_Villar |
Referencias:
- Pancharatnam, S., (1956) Proc. Indian Acad. Sci. A, 44, p. 247
- Berry, M.V., (1984) Proc. R. Soc. Lond. A, 392, p. 45. , 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. , PRVDAQ 1550-7998 10.1103/PhysRevD.38.1863
- 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., Geometric nature of the environment-induced Berry phase and geometric dephasing (2005) Physical Review Letters, 94 (7), pp. 1-4. , http://scitation.aip.org/getpdf/servlet/GetPDFServlet?filetype= pdf&id=PRLTAO000094000007070407000001&idtype=cvips, DOI 10.1103/PhysRevLett.94.070407, 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
- 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
- Lombardo, F.C., Villar, P.I., Geometric phases in open systems: A model to study how they are corrected by decoherence (2006) Physical Review A - Atomic, Molecular, and Optical Physics, 74 (4), p. 042311. , http://oai.aps.org/oai?verb=GetRecord&Identifier=oai:aps.org: PhysRevA.74.042311&metadataPrefix=oai_apsmeta_2, DOI 10.1103/PhysRevA.74.042311
- Lombardo, F.C., Villar, P.I., (2008) Int. J. Quantum Inf., 6, p. 707713. , 0219-7499 10.1142/S0219749908003992
- Villar, P.I., (2009) Phys. Lett. A, 373, p. 206. , PYLAAG 0375-9601 10.1016/j.physleta.2008.11.038
- Marzlin, K.-P., Ghose, S., Sanders, B.C., Geometric phase distributions for open quantum systems (2004) Physical Review Letters, 93 (26), pp. 2604021-2604024. , DOI 10.1103/PhysRevLett.93.260402, 260402
- Lombardo, F.C., Villar, P.I., (2010) Phys. Rev. A, 81, p. 022115. , PLRAAN 1050-2947 10.1103/PhysRevA.81.022115
- Niu, C.W., Xu, G.F., Liu, L., Kang, L., Tong, D.M., (2010) Phys. Rev. A, 81, p. 012116. , PLRAAN 1050-2947 10.1103/PhysRevA.81.012116
- Cucchietti, F.M., Zhang, J.-F., Lombardo, F.C., Villar, P.I., Laflamme, R., (2010) Phys. Rev. Lett., 105, p. 240406. , PRLTAO 0031-9007 10.1103/PhysRevLett.105.240406
- Sjqvist, E., (2010) Phys. Lett. A, 374, p. 1431. , PYLAAG 0375-9601 10.1016/j.physleta.2010.01.053
- Paz, J.P., Zurek, W.H., Environment Induced Superselection and the Transition from Quantum to Classical (2001) Coherent Matter Waves, les Houches Session LXXII, pp. 533-614. , in edited by R. Kaiser, C. Westbrook, and F. David (EDP Sciences, Springer-Verlag, Berlin
- Zurek, W.H., Decoherence, einselection, and the quantum origins of the classical (2003) Reviews of Modern Physics, 75 (3), pp. 715-775. , DOI 10.1103/RevModPhys.75.715
- Milman, P., Phase dynamics of entangled qubits (2006) Physical Review A - Atomic, Molecular, and Optical Physics, 73 (6), p. 062118. , http://oai.aps.org/oai?verb=GetRecord&Identifier=oai:aps.org: PhysRevA.73.062118&metadataPrefix=oai_apsmeta_2, DOI 10.1103/PhysRevA.73.062118
- 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
- Milman, P., Mosseri, R., (2003) Phys. Rev. Lett., 90, p. 230403. , PRLTAO 0031-9007 10.1103/PhysRevLett.90.230403
- Milman, P., Phase dynamics of entangled qubits (2006) Physical Review A - Atomic, Molecular, and Optical Physics, 73 (6), p. 062118. , http://oai.aps.org/oai?verb=GetRecord&Identifier=oai:aps.org: PhysRevA.73.062118&metadataPrefix=oai_apsmeta_2, DOI 10.1103/PhysRevA.73.062118
- Dajka, J., Luczka, J., Hanggi, P., (2010), e-print arXiv: 1004.3432v1 [quant-ph]; Yin, S., Tong, D.M., (2009) Phys. Rev. A, 79, p. 044303. , PLRAAN 1050-2947 10.1103/PhysRevA.79.044303
Citas:
---------- APA ----------
Villar, P.I. & Lombardo, F.C.
(2011)
. Geometric phases in the presence of a composite environment. Physical Review A - Atomic, Molecular, and Optical Physics, 83(5).
http://dx.doi.org/10.1103/PhysRevA.83.052121---------- CHICAGO ----------
Villar, P.I., Lombardo, F.C.
"Geometric phases in the presence of a composite environment"
. Physical Review A - Atomic, Molecular, and Optical Physics 83, no. 5
(2011).
http://dx.doi.org/10.1103/PhysRevA.83.052121---------- MLA ----------
Villar, P.I., Lombardo, F.C.
"Geometric phases in the presence of a composite environment"
. Physical Review A - Atomic, Molecular, and Optical Physics, vol. 83, no. 5, 2011.
http://dx.doi.org/10.1103/PhysRevA.83.052121---------- VANCOUVER ----------
Villar, P.I., Lombardo, F.C. Geometric phases in the presence of a composite environment. Phys Rev A. 2011;83(5).
http://dx.doi.org/10.1103/PhysRevA.83.052121