Quantum kinetic theory of a Bose-Einstein gas confined in a lattice

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We extend our earlier work on the nonequilibrium dynamics of a Bose-Einstein condensate initially loaded into a one-dimensional optical lattice. From the two-particle-irreducible (2PI) closed-time-path (CTP) effective action for the Bose-Hubbard Hamiltonian we derive causal equations of motion that...

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Autor principal: Rey, A.M
Otros Autores: Hu, B.L, Calzetta, E., Clark, C.W
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: 2005
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100 1 |a Rey, A.M. 
245 1 0 |a Quantum kinetic theory of a Bose-Einstein gas confined in a lattice 
260 |c 2005 
270 1 0 |m Rey, A.M.; Department of Physics, University of Maryland, College Park, MD 20742, United States 
506 |2 openaire  |e Política editorial 
504 |a Peil, S., Porto, J.V., Tolra, B.L., Obrecht, J.M., King, B.E., Subbotin, M., Rolston, S.L., Phillips, W.D., (2003) Phys. Rev. A, 67, p. 051603. , PLRAAN 1050-2947 10.1103/PhysRevA.67.051603 
504 |a Blair Blakie, P., Clark, C.W., (2004) J. Phys. B, 37, p. 1391. , JPAPEH 0953-4075 10.1088/0953-4075/37/7/002 
504 |a Greiner, M., Bloch, I., Mandel, O., Hansch, T.W., Esslinger, T., (2001) Phys. Rev. Lett., 87, p. 160405. , PRLTAO 0031-9007 10.1103/PhysRevLett.86.4447 
504 |a Denschlag, J.H., Simsarian, J.E., Haffner, H., McKenzie, C., Browaeys, A., Cho, D., Helmerson, K., Phillips, W.D., (2002) J. Phys. B, 35, p. 3095. , JPAPEH 0953-4075 10.1088/0953-4075/35/14/307 
504 |a Ferlaino, F., Maddaloni, P., Burger, S., Cataliotti, F.S., Fort, C., Modugno, M., Inguscio, M., (2002) Phys. Rev. A, 66, p. 011604. , PLRAAN 1050-2947 10.1103/PhysRevA.66.011604 
504 |a Morsch, O., Muller, J.H., Cristiani, M., Ciampini, D., Arimondo, E., (2001) Phys. Rev. Lett., 87, p. 140402. , PRLTAO 0031-9007 10.1103/PhysRevLett.86.4447 
504 |a Fisher, M.P.A., Weichman, P.B., Grinstein, G., Fisher, D.S., (1989) Phys. Rev. B, 40, p. 546. , PRBMDO 0163-1829 10.1103/PhysRevB.40.546 
504 |a Greiner, M., Mandel, O., Esslinger, T., Hansch, T.W., Bloch, I., (2002) Nature (London), 415, p. 39. , NATUAS 0028-0836 10.1038/415039a 
504 |a Orzel, C., Tuchman, A.K., Fenselau, M.L., Yasuda, M., Kasevich, M.A., (2001) Science, 23, p. 2386. , SCIEAS 0036-8075 
504 |a Greiner, M., Mandel, O., Hansch, T.W., Bloch, I., (2002) Nature (London), 419, p. 51. , NATUAS 0028-0836 10.1038/nature00968 
504 |a Jaksch, D., (2002) Phys. Rev. Lett., 89, pp. 040402-1. , PRLTAO 0031-9007 10.1103/PhysRevLett.89.040402 
504 |a Carusotto, I., Castin, Y., (2003) New J. Phys., 5, p. 91. , NJOPFM 1367-2630 
504 |a Polkovnikov, A., Wang, D.W., (2004) Phys. Rev. Lett., 93, p. 070401. , PRLTAO 0031-9007 10.1103/PhysRevLett.93.070401 
504 |a Clark, S., Jaksch, D., (2004) Phys. Rev. A, 70, p. 043612. , PLRAAN 1050-2947 10.1103/PhysRevA.70.043612 
504 |a Sengupta, K., Dupuis, N., (2005) Phys. Rev. A, 71, p. 033629. , PLRAAN 1050-2947 10.1103/PhysRevA.71.033629 
504 |a Rey, A.M., Hu, B.L., Calzetta, E., Roura, A., Clark, C.W., (2004) Phys. Rev. A, 69, p. 033610. , PLRAAN 1050-2947 10.1103/PhysRevA.69.033610 
504 |a Schwinger, J.S., (1961) J. Math. Phys., 2, p. 407. , JMAPAQ 0022-2488 10.1063/1.1703727 
504 |a Keldysh, L.V., (1964) Sov. Phys. JETP, 47, p. 1515. , SPHJAR 0038-5646 
504 |a Keldysh, L.V., (1965) Sov. Phys. JETP, 20, p. 1018. , SPHJAR 0038-5646 10.1103/PhysRev.115.134210.1103/PhysRev.126.329 
504 |a Korenman, V., (1966) Ann. Phys. (N.Y.), 39, p. 72. , APNYA6 0003-4916 10.1016/0003-4916(66)90137-0 
504 |a Zhou, G., Su, Z., Hao, B., Yu, L., (1985) Phys. Rep., 118, p. 1. , PRPLCM 0370-1573 10.1016/0370-1573(85)90136-X 
504 |a Luttinger, J., Ward, J., (1960) Phys. Rev., 118, p. 1417. , PHRVAO 0031-899X 10.1103/PhysRev.118.1417 
504 |a De Dominicis, C., Martin, P., (1964) J. Math. Phys., 5, p. 14. , JMAPAQ 0022-2488 10.1063/1.1704062 
504 |a Dahmen, H.D., Jona Lasino, G., (1962) Nuovo Cimento, 52, p. 807. , NUCIAD 0029-6341 
504 |a Cornwall, J.M., Jackiw, R., Tomboulis, E., (1974) Phys. Rev. D, 10, p. 2428. , PRVDAQ 0556-2821 10.1103/PhysRevD.10.2428 
504 |a Shi, H., Griffin, A., (1998) Phys. Rep., 304, p. 1. , PRPLCM 0370-1573 10.1016/S0370-1573(98)00015-5 
504 |a Griffin, A., (1995) Phys. Rev. B, 53, p. 9341. , PRBMDO 0163-1829 10.1103/PhysRevB.53.9341 
504 |a Morgan, S.A., (1999), Ph.D thesis, Oxford University; Morgan, S.A., (2000) J. Phys. B, 57, p. 3847. , JPAPEH 0953-4075 10.1088/0953-4075/33/19/303 
504 |a Rey, A.M., Burnett, K., Roth, R., Edwards, M., Williams, C.J., Clark, C.W., (2003) J. Phys. B, 36, p. 825. , JPAPEH 0953-4075 10.1088/0953-4075/36/5/304 
504 |a Rey, A.M., (2004), Ph.D. thesis, Maryland University at College Park; Kadanoff, L.P., Baym, G., (1962) Quantum Statistical Mechanics: Greens Function Methods in Equilibrium and Nonequilibrium Problems, , Addison-Wesley, New York 
504 |a Kane, J.W., Kadanoff, L.P., (1965) J. Math. Phys., 6, p. 1902. , JMAPAQ 0022-2488 10.1063/1.1704738 
504 |a Baier, R., Stockamp, T., hep-ph/0412310; Calzetta, E., Hu, B.L., (1988) Phys. Rev. D, 37, p. 2878. , PRVDAQ 0556-2821 10.1103/PhysRevD.37.2878 
504 |a Calzetta, E., Hu, B.L., (1995) Heat Kernel Techniques and Quantum Gravity Vol. 4 of Discourses in Mathematics and Its Applications, 4. , edited by S. A. Fulling (Texas A&M University Press, College Station, TX 
504 |a Calzetta, E., Hu, B.L., (2000) Phys. Rev. D, 61, p. 025012. , PRVDAQ 0556-2821 10.1103/PhysRevD.61.025012 
504 |a Berges, J., hep-ph/0401172;; Berges, J., Serreau, J., (2004) Phys. Rev. D, 70, p. 105010. , PRVDAQ 0556-2821 10.1103/PhysRevD.70.105010 
504 |a Berges, J., Serreau, J., , p. 129. , hep-ph/0409233 and the references therein (p; Ramsey, S.A., (1997), Ph.D. thesis, University of Maryland; Calzetta, E.A., Hu, B.L., (2003) Phys. Rev. D, 68, p. 065027. , PRVDAQ 0556-2821 10.1103/PhysRevD.68.065027 
504 |a Jeon, S., Yaffe, L.G., (1995) Phys. Rev. D, 53, p. 5799. , PRVDAQ 0556-2821 10.1103/PhysRevD.53.5799 
504 |a Cooper, F., Habib, S., Kluger, Y., Mottola, E., Paz, J.P., Anderson, P.R., (1994) Phys. Rev. D, 50, p. 2848. , PRVDAQ 0556-2821 10.1103/PhysRevD.50.2848 
504 |a Mihaila, B., Dawson, J.F., Cooper, F., (1997) Phys. Rev. D, 56, p. 5400. , PRVDAQ 0556-2821 10.1103/PhysRevD.56.5400 
504 |a Mihaila, B., Dawson, J.F., Cooper, F., (2001) Phys. Rev. D, 63, p. 096003. , PRVDAQ 0556-2821 10.1103/PhysRevD.63.096003 
504 |a Mihaila, B., Athan, T., Cooper, F., Dawson, J., Habib, S., (2000) Phys. Rev. D, 62, p. 125015. , PRVDAQ 0556-2821 10.1103/PhysRevD.62.125015 
504 |a Aarts, G., (2002) Phys. Rev. D, 66, p. 045008. , PRVDAQ 0556-2821 10.1103/PhysRevD.66.045008 
504 |a Berges, J., (2002) Nucl. Phys. A, 699, p. 847. , NUPABL 0375-9474 10.1016/S0375-9474(01)01295-7 
504 |a Berges, J., Cox, J., (2001) Phys. Lett. B, 517, p. 369. , PYLBAJ 0370-2693 10.1016/S0370-2693(01)01004-8 
504 |a Aarts, G., Berges, J., (2001) Phys. Rev. D, 64, p. 105010. , PRVDAQ 0556-2821 10.1103/PhysRevD.64.105010 
504 |a Imamovic-Tomasovic, M., Griffin, A., (2000) Progress in Nonequilibrium Greens Functions, p. 404. , edited by M. Bonitz (World Scientific, Singapore 
504 |a Imamovic-Tomasovic, M., Griffin, A., (1999) Phys. Rev. A, 60, p. 494. , PLRAAN 1050-2947 10.1103/PhysRevA.60.494 
504 |a Walser, R., Williams, J., Cooper, J., Holland, M., (1999) Phys. Rev. A, 59, p. 3878. , PLRAAN 1050-2947 10.1103/PhysRevA.59.3878 
504 |a Walser, R., Cooper, J., Holland, M., (2000) Phys. Rev. A, 63, p. 013607. , PLRAAN 1050-2947 10.1103/PhysRevA.63.013607 
504 |a Wachter, J., Walser, R., Cooper, J., Holland, M., (2001) Phys. Rev. A, 64, p. 053612. , PLRAAN 1050-2947 10.1103/PhysRevA.64.053612 
504 |a Wachter, J., Walser, R., Cooper, J., Holland, M., (2002) Phys. Rev. A, 65, p. 039904. , PLRAAN 1050-2947 10.1103/PhysRevA.65.039904 
504 |a Bhongale, S.G., Walser, R., Holland, M.J., (2002) Phys. Rev. A, 66, p. 043618. , PLRAAN 1050-2947 10.1103/PhysRevA.66.043618 
504 |a Wachter, J., Walser, R., Cooper, J., Holland, M., cond-mat/0212432; Giorgini, S., (1997) Phys. Rev. A, 57, p. 2949. , PLRAAN 1050-2947 10.1103/PhysRevA.57.2949 
504 |a Giorgini, S., (2000) Phys. Rev. A, 61, p. 063615. , PLRAAN 1050-2947 10.1103/PhysRevA.61.063615 
504 |a Proukakis, N.P., (2001) J. Phys. B, 34, p. 4737. , JPAPEH 0953-4075 10.1088/0953-4075/34/23/317 
504 |a Kohler, T., Burnett, K., (2002) Phys. Rev. A, 65, p. 033601. , PLRAAN 1050-2947 10.1103/PhysRevA.65.033601 
504 |a Goral, K., (2004) J. Mod. Opt., 51, p. 1731. , JMOPEW 0950-0340 
504 |a Proukakis, N.P., Burnett, K., (1996) J. Res. Natl. Inst. Stand. Technol., 101, p. 457. , JRITEF 1044-677X 
504 |a Proukakis, N.P., Burnett, K., Stoof, H.T.C., (1998) Phys. Rev. A, 57, p. 1230. , PLRAAN 1050-2947 10.1103/PhysRevA.57.1230 
504 |a Stoof, H.T.C., (1999) J. Low Temp. Phys., 114, p. 11. , JLTPAC 0022-2291 10.1023/A:1021897703053 
504 |a (1999) Coherent Matter Waves, 72. , Sprinder-Verlag, Berlin 
504 |a Khawaja, U.A., Stoof, H.T.C., (2000) Phys. Rev. A, 62, p. 053602. , PLRAAN 1050-2947 10.1103/PhysRevA.62.053602 
504 |a Khawaja, U.A., Stoof, H.T.C., (2001) Phys. Rev. A, 64, p. 043612. , PLRAAN 1050-2947 10.1103/PhysRevA.64.043612 
504 |a Amico, L., Penna, V., (1998) Phys. Rev. Lett., 80, p. 2189. , PRLTAO 0031-9007 10.1103/PhysRevLett.80.2189 
504 |a Gardiner, C.W., (1997) Phys. Rev. A, 56, p. 1414. , PLRAAN 1050-2947 10.1103/PhysRevA.56.1414 
504 |a Gardiner, C.W., Davis, M.J., (2003) J. Phys. B, 36, p. 4731. , JPAPEH 0953-4075 
504 |a Gardiner, C.W., Anglin, J.R., Fudge, T.I.A., (2002) J. Phys. B, 35, p. 1555. , JPAPEH 0953-4075 10.1088/0953-4075/35/6/310 
504 |a Davis, M.J., Gardiner, C.W., (2002) J. Phys. B, 35, p. 733. , JPAPEH 0953-4075 10.1088/0953-4075/35/3/322 
504 |a Gardiner, C.W., Zoller, P., (2000) Phys. Rev. A, 61, p. 033601. , PLRAAN 1050-2947 10.1103/PhysRevA.61.033601 
504 |a Caldeira, A.O., Leggett, A.J., (1983) Ann. Phys. (N.Y.), 149, p. 374. , APNYA6 0003-4916 10.1103/PhysRevLett.46.211 
504 |a Armour, A.D., Blencowe, M.P., Schwab, K.C., (2002) Phys. Rev. Lett., 88, p. 148301. , PRLTAO 0031-9007 10.1103/PhysRevLett.88.148301 
504 |a Martin, I., cond-mat/0310229; Beliaev, S.T., (1958) Zh. Eksp. Teor. Fiz., 34, p. 433. , ZETFA7 0044-4510 
504 |a Beliaev, S.T., (1958) Sov. Phys. JETP, 7, p. 299. , SPHJAR 0038-5646 
504 |a Jaksch, D., Bruder, C., Cirac, J.I., Gardiner, C.W., Zoller, P., (1998) Phys. Rev. Lett., 81, p. 3108. , PRLTAO 0031-9007 10.1103/PhysRevLett.81.3108 
504 |a Castin, Y., Dum, R., (1997) Phys. Rev. Lett., 79, p. 3553. , PRLTAO 0031-9007 10.1103/PhysRevLett.79.3553 
504 |a Castin, Y., Dum, R., (1998) Phys. Rev. A, 57, p. 3008. , PLRAAN 1050-2947 10.1103/PhysRevA.57.3008 
504 |a Hohenberg, P., Martin, P., (1965) Ann. Phys. (N.Y.), 34, p. 291. , APNYA6 0003-4916 10.1016/0003-4916(65)90280-0 
504 |a Baym, G., (1962) Phys. Rev., 127, p. 1391. , PHRVAO 0031-899X 10.1103/PhysRev.127.1391 
504 |a Vanderheyden, B., Baym, G., (1998) J. Stat. Phys., 93, p. 843. , JSTPBS 0022-4715 10.1023/B:JOSS.0000033166.37520.ae 
504 |a Wigner, E., (1932) Phys. Rev., 40, p. 749. , PHRVAO 0031-899X 10.1103/PhysRev.40.749 
504 |a Fetter, A.L., Walecka, J.D., (1971) Quantum Theory of Many Particle Systems, , McGraw-Hill, New York 
504 |a Balescu, R., (1975) Equilibrium and Nonequilibrium Statistical Mechanics, , Wiley, New York 
504 |a Habib, S., (1990) Phys. Rev. D, 42, p. 2566. , PRVDAQ 0556-2821 10.1103/PhysRevD.42.2566 
504 |a Spohn, H., (1983) Nonequilibrium Phenomena I: The Boltzmann Equation, , edited by J. L. Lebowitz and E. W. Montroll (North-Holland, Amsterdam 
504 |a Kac, M., Logan, J., (1979) Fluctuation Phenomena, p. 1. , edited by E. W. Montroll and J. L. Lebowitz (Elsevier, New York 
504 |a Blaizot, J.P., Iancu, E., (2002) Phys. Rep., 359, p. 355. , PRPLCM 0370-1573 10.1016/S0370-1573(01)00061-8 
504 |a Calzetta, E.A., Hu, B.L., Ramsey, S.A., (2000) Phys. Rev. D, 61, p. 125013. , PRVDAQ 0556-2821 10.1103/PhysRevD.61.125013 
504 |a Poilblanc, D., (1991) Phys. Rev. B, 44, p. 9562. , PRBMDO 0163-1829 10.1103/PhysRevB.44.9562 
504 |a Shastry, B.S., Sutherland, B., (1990) Phys. Rev. Lett., 65, p. 243. , PRLTAO 0031-9007 10.1103/PhysRevLett.65.243 
504 |a Calzetta, E., Hu, B.L., hep-ph/0205271;; Juchem, S., Cassing, W., Greiner, C., (2004) Phys. Rev. D, 69, p. 025006. , PRVDAQ 0556-2821 10.1103/PhysRevD.69.025006 
504 |a Hugenholtz, N.M., Pines, D., (1959) Phys. Rev., 116, p. 489. , PHRVAO 0031-899X 10.1103/PhysRev.116.489 
504 |a Goldstone, J., (1961) Nuovo Cimento, 19, p. 154. , NUCIAD 0029-6341 
504 |a Popov, V.N., (1983) Functional Integrals in Quantum Field Theory and Statistical Physics, , Reidel, Dordrecht 
504 |a Maris, H.J., (1977) Rev. Mod. Phys., 49, p. 341. , RMPHAT 0034-6861 10.1103/RevModPhys.49.341 
504 |a Pitaevskii, L.P., Stringari, S., (1997) Phys. Lett. A, 235, p. 398. , PYLAAG 0375-9601 10.1016/S0375-9601(97)00666-X 
504 |a Pitaevskii, L.P., Levinson, Y.B., (1976) Phys. Rev. B, 14, p. 263. , PLRBAQ 0556-2805 10.1103/PhysRevB.14.263 
504 |a Tsuchiya, S., Griffin, A., (2004) Phys. Rev. A, 70, p. 023611. , PLRAAN 1050-2947 10.1103/PhysRevA.70.023611 
520 3 |a We extend our earlier work on the nonequilibrium dynamics of a Bose-Einstein condensate initially loaded into a one-dimensional optical lattice. From the two-particle-irreducible (2PI) closed-time-path (CTP) effective action for the Bose-Hubbard Hamiltonian we derive causal equations of motion that treat mean-field effects and quantum fluctuations on an equal footing. We demonstrate that these equations reproduce well-known limits when simplifying approximations are introduced. For example, when the system dynamics admits two-time separation, we obtain the Kadanoff-Baym equations of quantum kinetic theory, and in the weakly interacting limit, we show that the local equilibrium solutions of our equations reproduce the second-order corrections to the self-energy of the type originally derived by Beliaev. The derivation of quantum kinetic equations from the 2PI-CTP effective action not only checks the viability of the formalism but also shows it to be a tractable framework for going beyond standard Boltzmann equations of motion.  |l eng 
593 |a Department of Physics, University of Maryland, College Park, MD 20742, United States 
593 |a National Institute of Standards and Technology, Gaithersburg, MD 20899, United States 
593 |a Departamento de Fisica, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires-Ciudad Universitaria, 1428 Buenos Aires, Argentina 
690 1 0 |a BOSE-EINSTEIN CONDENSATE 
690 1 0 |a CLOSED-TIME-PATH (CTP) 
690 1 0 |a NONEQUILIBRIUM DYNAMICS 
690 1 0 |a QUANTUM FLUCTUATIONS 
690 1 0 |a APPROXIMATION THEORY 
690 1 0 |a CONDENSATION 
690 1 0 |a KINETIC ENERGY 
690 1 0 |a MOLECULAR PHYSICS 
690 1 0 |a NONLINEAR EQUATIONS 
690 1 0 |a QUANTUM THEORY 
690 1 0 |a QUANTUM OPTICS 
700 1 |a Hu, B.L. 
700 1 |a Calzetta, E. 
700 1 |a Clark, C.W. 
773 0 |d 2005  |g v. 72  |k n. 2  |p Phys Rev A  |x 10502947  |t Physical Review A - Atomic, Molecular, and Optical Physics 
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856 4 0 |u https://doi.org/10.1103/PhysRevA.72.023604  |y DOI 
856 4 0 |u https://hdl.handle.net/20.500.12110/paper_10502947_v72_n2_p_Rey  |y Handle 
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999 |c 64958 

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