Semiclassical description of wave packet revival

Mostrar otras versiones (1)

We test the ability of semiclassical theory to describe quantitatively the revival of quantum wave packets-a long time phenomena-in the one dimensional quartic oscillator (a Kerr type Hamiltonian). Two semiclassical theories are considered: time-dependent WKB and Van Vleck propagation. We show that...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autor principal: Toscano, F.
Otros Autores: Vallejos, R.O, Wisniacki, D.
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: 2009
Acceso en línea:Registro en Scopus
DOI
Handle
Registro en la Biblioteca Digital
Aporte de:Registro referencial: Solicitar el recurso aquí
Biblioteca Central Dr. Luis F. Leloir (FCEN) de Universidad de Buenos Aires
LEADER 06752caa a22008777a 4500
001 PAPER-8399
003 AR-BaUEN
005 20230518203812.0
008 190411s2009 xx ||||fo|||| 00| 0 eng|d
024 7 |2 scopus  |a 2-s2.0-70449120348 
040 |a Scopus  |b spa  |c AR-BaUEN  |d AR-BaUEN 
030 |a PLEEE 
100 1 |a Toscano, F. 
245 1 0 |a Semiclassical description of wave packet revival 
260 |c 2009 
270 1 0 |m Toscano, F.; Instituto de Física, Universidade Federal Do Rio de Janeiro, CP 68528, 21941-972 Rio de Janeiro, RJ, Brazil; email: toscano@if.ufrj.br 
506 |2 openaire  |e Política editorial 
504 |a Maslov, V.P., Fedoriuk, M.V., (1981) Semiclassical Approximations in Quantum Mechanics, , Reidel, Dordrecht 
504 |a Brack, M., Bhaduri, R.K., (2003) Semiclassical Physics, Frontiers in Physics, 96, , Westview, Boulder, CO 
504 |a Van Vleck, J.H., (1928) Proc. Natl. Acad. Sci. U.S.A., 14, p. 178. , 10.1073/pnas.14.2.178 
504 |a Gutzwiller, M.C., (1967) J. Math. Phys., 8, p. 1979. , 10.1063/1.1705112 
504 |a Tomsovic, S., Heller, E.J., (1991) Phys. Rev. Lett., 67, p. 664. , 10.1103/PhysRevLett.67.664; 
504 |a Tomsovic, S., Heller, E.J., (1993) Phys. Rev. e, 47, p. 282. , 10.1103/PhysRevE.47.282 
504 |a Mallalieu, M., Stroud, Jr.C.R., (1994) Phys. Rev. A, 49, p. 2329. , 10.1103/PhysRevA.49.2329 
504 |a Suarez Barnes, I.M., Nauenberg, M., Nockleby, M., Tomsovic, S., (1993) Phys. Rev. Lett., 71, p. 1961. , 10.1103/PhysRevLett.71.1961; 
504 |a Suarez Barnes, I.M., Nauenberg, M., Nockleby, M., Tomsovic, S., (1994) J. Phys. A, 27, p. 3299. , 10.1088/0305-4470/27/9/039 
504 |a Maia, R.N.P., Nicacio, F., Toscano, F., Vallejos, R.O., (2008) Phys. Rev. Lett., 100, p. 184102. , 10.1103/PhysRevLett.100.184102 
504 |a Littlejohn, R.G., (1992) J. Stat. Phys., 68, p. 7. , 10.1007/BF01048836 
504 |a Miller, W.H., (2001) J. Phys. Chem. A, 105, p. 2942. , 10.1021/jp003712k 
504 |a Robinett, R.W., (2004) Phys. Rep., 392, p. 1. , 10.1016/j.physrep.2003.11.002 
504 |a Yeazell, J.A., Mallalieu, M., Stroud, Jr.C.R., (1990) Phys. Rev. Lett., 64, p. 2007. , 10.1103/PhysRevLett.64.2007; 
504 |a Vrakking, M.J.J., Villeneuve, D.M., Stolow, A., (1996) Phys. Rev. A, 54, p. 37. , 10.1103/PhysRevA.54.R37; 
504 |a Rempe, G., Walther, H., Klein, N., (1987) Phys. Rev. Lett., 58, p. 353. , 10.1103/PhysRevLett.58.353; 
504 |a Diedrich, F., Krause, J., Rempe, G., Scully, M.O., Walther, H., (1988) IEEE J. Quantum Electron., 24, p. 1314. , 10.1109/3.968 
504 |a Yurke, B., Stoler, D., (1986) Phys. Rev. Lett., 57, p. 13. , 10.1103/PhysRevLett.57.13; 
504 |a Gantsong, Ts., Tanaś, R., (1991) Quantum Opt., 3, p. 33. , 10.1088/0954-8998/3/1/004; 
504 |a Tara, K., Agarwal, G.S., Chaturvedi, S., (1993) Phys. Rev. A, 47, p. 5024. , 10.1103/PhysRevA.47.5024 
504 |a Braunstein, S.L., Van Look, P., (2005) Rev. Mod. Phys., 77, p. 513. , 10.1103/RevModPhys.77.513 
504 |a Wang, Z., Heller, E.J., (2009) J. Phys. A: Math. Theor., 42, p. 285304. , 10.1088/1751-8113/42/28/285304 
504 |a Novaes, M., (2005) J. Math. Phys., 46, p. 102102. , 10.1063/1.2038608 
504 |a Cohen-Tannoudji, C., Diu, B., Laloë, F., (1977) Quantum Mechanics, 1. , Wiley, New York 
504 |a Walls, D.F., Milburn, G., (1995) Quantum Optics, , Springer, Berlin 
504 |a Schleich, W.P., (2001) Quantum Optics in Phase Space, , Wiley-VCH, Berlin 
504 |a Ozorio De Almeida, A.M., (1998) Phys. Rep., 295, p. 265. , 10.1016/S0370-1573(97)00070-7 
504 |a Whittaker, E.T., Watson, G.N., (1927) A Course of Modern Analysis, , Cambridge University Press, Cambridge 
504 |a Mumford, D., (1983) Tata Lectures on Theta i, , Birkhäuser, Boston 
504 |a Weisstein, E.W., http://mathworld.wolfram.com/JacobiThetaFunctions.html; Littlejohn, R.G., (1986) Phys. Rep., 138, p. 193. , 10.1016/0370-1573(86)90103-1 
504 |a Huber, D., Heller, E.J., Littlejohn, R.G., (1988) J. Chem. Phys., 89, p. 2003. , 10.1063/1.455714; 
504 |a Maslov, V.P., (1994) The Complex WKB Method for Nonlinear Equations i, , Birkhäuser, Basel 
504 |a De Aguiar, M.A.M., Baranger, M., Jaubert, L., Parisio, F., Ribeiro, A.D., (2005) J. Phys. A, 38, p. 4645. , 10.1088/0305-4470/38/21/010 
504 |a Child, M.S., (1991) Semiclassical Mechanics with Molecular Applications, , Oxford University Press, Oxford 
520 3 |a We test the ability of semiclassical theory to describe quantitatively the revival of quantum wave packets-a long time phenomena-in the one dimensional quartic oscillator (a Kerr type Hamiltonian). Two semiclassical theories are considered: time-dependent WKB and Van Vleck propagation. We show that both approaches describe with impressive accuracy the autocorrelation function and wave function up to times longer than the revival time. Moreover, in the Van Vleck approach, we can show analytically that the range of agreement extends to arbitrary long times. © 2009 The American Physical Society.  |l eng 
593 |a Instituto de Física, Universidade Federal Do Rio de Janeiro, CP 68528, 21941-972 Rio de Janeiro, RJ, Brazil 
593 |a Centro Brasileiro de Pesquisas Físicas (CBPF), Rua Dr. Xavier Sigaud 150, 22290-180 Rio de Janeiro, RJ, Brazil 
593 |a Departamento de Física J. J. Giambiagi, FCEN, Ciudad Universitaria, C1428EGA Buenos Aires, Argentina 
690 1 0 |a AUTOCORRELATION FUNCTIONS 
690 1 0 |a QUANTUM WAVE PACKETS 
690 1 0 |a SEMICLASSICAL THEORIES 
690 1 0 |a TIME-DEPENDENT 
690 1 0 |a WAVE PACKET REVIVALS 
690 1 0 |a REGRESSION ANALYSIS 
690 1 0 |a WAVE FUNCTIONS 
690 1 0 |a WAVE PACKETS 
690 1 0 |a WAVES 
690 1 0 |a AUTOMOBILE EXHIBITIONS 
700 1 |a Vallejos, R.O. 
700 1 |a Wisniacki, D. 
773 0 |d 2009  |g v. 80  |k n. 4  |p Phys. Rev. E Stat. Nonlinear Soft Matter Phys.  |x 15393755  |t Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 
856 4 1 |u https://www.scopus.com/inward/record.uri?eid=2-s2.0-70449120348&doi=10.1103%2fPhysRevE.80.046218&partnerID=40&md5=f11a42699ef2a8cc7d153702192aaf80  |y Registro en Scopus 
856 4 0 |u https://doi.org/10.1103/PhysRevE.80.046218  |y DOI 
856 4 0 |u https://hdl.handle.net/20.500.12110/paper_15393755_v80_n4_p_Toscano  |y Handle 
856 4 0 |u https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v80_n4_p_Toscano  |y Registro en la Biblioteca Digital 
961 |a paper_15393755_v80_n4_p_Toscano  |b paper  |c PE 
962 |a info:eu-repo/semantics/article  |a info:ar-repo/semantics/artículo  |b info:eu-repo/semantics/publishedVersion 
963 |a VARI 
999 |c 69352 

Ejemplares similares