Navegar

Colección

Datos Estadísticas

Artículo

La versión final de este artículo es de uso interno. El editor solo permite incluir en el repositorio el artículo en su versión post-print. Por favor, si usted la posee enviela a
Consulte el artículo en la página del editor
Consulte la política de Acceso Abierto del editor

Abstract:

We present an analytical model for a cold bosonic gas on an optical lattice (with densities of the order of 1 particle per site), targeting the critical regime of the Bose-Einstein-condensate superfluid-Mott-insulator transition. We focus on the computation of the one-body density matrix and its Fourier transform, the momentum distribution which is directly obtainable from "time-of-flight" measurements. The expected number of particles with zero momentum may be identified with the condensate population if it is close to the total number of particles. Our main result is an analytic expression for this observable, interpolating between the known results valid for the two regimes separately: the standard Bogoliubov approximation valid in the superfluid regime and the strong-coupling perturbation theory valid in the Mott regime. © 2006 The American Physical Society.

Registro:

Documento: Artículo
Título:Bose-Einstein-condensate superfluid-Mott-insulator transition in an optical lattice
Autor:Calzetta, E.; Hu, B.L.; Rey, A.M.
Filiación:Departamento de Fisica, Facultad de Ciencias Exactas y Naturales, Ciudad Universitaria, 1428 Buenos Aires, Argentina
Department of Physics, University of Maryland, College Park, MD 20742, United States
National Institute of Standards and Technology, Gaithersburg, MD 20899, United States
Institute for Theoretical Atomic, Molecular and Optical Physics, Harvard-Smithsonian Center of Astrophysics, Cambridge, MA 02138, United States
Palabras clave:Approximation theory; Crystal lattices; Fourier transforms; Insulating materials; Interpolation; Perturbation techniques; Bogoliubov approximation; Bose-Einstein-condensation superfluid-Mott-insulator transition; Strong-coupling perturbation theory; Superfluid helium
Año:2006
Volumen:73
Número:2
DOI: http://dx.doi.org/10.1103/PhysRevA.73.023610
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_v73_n2_p_Calzetta

Referencias:

  • Cornell, E.A., Wieman, C.E., (2002) Rev. Mod. Phys., 74, p. 875. , RMPHAT 0034-6861 10.1103/RevModPhys.74.875
  • Ketterle, W., (2002) Rev. Mod. Phys., 74, p. 1131. , RMPHAT 0034-6861 10.1103/RevModPhys.74.1131
  • Nature Insight: Ultracold Matter, , edited by K. Southwell
  • (2002) Nature (London), 416, p. 205. , NATUAS 0028-0836 10.1038/416205a
  • Jaksch, D., Zoller, P., cond-mat/0410614; Mandel, O., (2003) Nature (London), 425, p. 937. , NATUAS 0028-0836 10.1038/nature02008
  • Vager, D., Segev, B., Band, Y., quant-ph/0505199 and references therein; Brennen, G., Song, D., Williams, C.J., (2003) Phys. Rev. A, 67, p. 050302. , PLRAAN 1050-2947 10.1103/PhysRevA.67.050302
  • Brennen, G.K., (2005) J. Phys. B, 38, p. 1687. , JPAMA4 0022-3700
  • Pupillo, G., (2004) J. Mod. Opt., 51, p. 16. , JMOPEW 0950-0340
  • Rey, A.M., Blakie, P.B., Clark, C.W., (2003) Phys. Rev. A, 67, p. 053610. , PLRAAN 1050-2947 10.1103/PhysRevA.67.053610
  • Dziarmaga, J., Smerzi, A., Zurek, W., Bishop, A., cond-mat/0403607; Tsuchiya, S., Griffin, A., cond-mat/0506016; 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
  • Greiner, M., (2002) Nature (London), 415, p. 39. , NATUAS 0028-0836 10.1038/415039a
  • Penrose, O., Onsager, L., (1956) Phys. Rev., 104, p. 576. , PHRVAO 0031-899X 10.1103/PhysRev.104.576
  • Gerbier, F., cond-mat/0503452; Gerbier, F., cond-mat/0507087; Roth, R., Burnett, K., (2003) Phys. Rev. A, 67, p. 031602. , PLRAAN 1050-2947 10.1103/PhysRevA.67.031602
  • Yu, Y., cond-mat/0505181; Rey, A.M., Burnett, K., Roth, R., Edwards, M., Williams, C., Clark, C., (2003) J. Phys. B, 36, p. 825. , JPAPEH 0953-4075 10.1088/0953-4075/36/5/304
  • Freericks, J., Monien, H., (1994) Europhys. Lett., 26, p. 545. , EULEEJ 0295-5075
  • Freericks, J.K., Monien, H., (1996) Phys. Rev. B, 53, p. 2691. , PRBMDO 0163-1829 10.1103/PhysRevB.53.2691
  • Elstner, N., Monien, H., (1999) Phys. Rev. B, 59, p. 12184. , PRBMDO 0163-1829 10.1103/PhysRevB.59.12184
  • Rey, A.M., Blair Blakie, P., Pupillo, G., Williams, C.J., Clark, C.W., (2005) Phys. Rev. A, 72, p. 023407. , PLRAAN 1050-2947 10.1103/PhysRevA.72.023407
  • Blair Blakie, P., Clark, C., (2004) J. Phys. B, 37, p. 1391. , JPAMA4 0022-3700
  • Batrouni, G.G., Scalettar, R.T., Zimanyi, G.T., (1990) Phys. Rev. Lett., 65, p. 1765. , PRLTAO 0031-9007 10.1103/PhysRevLett.65.1765
  • Batrouni, G.G., Scalettar, R.T., (1992) Phys. Rev. B, 46, p. 9051. , PRBMDO 0163-1829 10.1103/PhysRevB.46.9051
  • Clark, S., Jaksch, D., (2004) Phys. Rev. A, 70, p. 043612. , PLRAAN 1050-2947 10.1103/PhysRevA.70.043612
  • Kampf, A., Zimanyi, G., (1993) Phys. Rev. B, 47, p. 279. , PRBMDO 0163-1829 10.1103/PhysRevB.47.279
  • Sheshadri, K., (1993) Europhys. Lett., 22, p. 257. , EULEEJ 0295-5075
  • Jaksch, D., Bruder, C., Cirac, J., Gardiner, C., Zoller, P., (1998) Phys. Rev. Lett., 81, p. 3108. , PRLTAO 0031-9007 10.1103/PhysRevLett.81.3108
  • Amico, L., Penna, V., (1998) Phys. Rev. Lett., 80, p. 2189. , PRLTAO 0031-9007 10.1103/PhysRevLett.80.2189
  • Van Oosten, D., Van Der Straten, P., Stoof, H., (2001) Phys. Rev. A, 63, p. 053601. , PLRAAN 1050-2947 10.1103/PhysRevA.63.053601
  • Van Oosten, D., Van Der Straten, P., Stoof, H., (2003) Phys. Rev. A, 67, p. 033606. , PLRAAN 1050-2947 10.1103/PhysRevA.67.033606
  • Polkovnikov, A., Sachdev, S., Girvin, S., (2002) Phys. Rev. A, 66, p. 053607. , PLRAAN 1050-2947 10.1103/PhysRevA.66.053607
  • Zwerger, W., (2003) J. Opt. B: Quantum Semiclassical Opt., 5, p. 9. , JOBOFD 1464-4266 10.1088/1464-4266/5/2/352
  • Buonsante, P., Franziosi, R., Penna, V., (2004) J. Phys. B, 37, p. 195. , JPAPEH 0953-4075 10.1088/0953-4075/37/7/065
  • Buonsante, P., Penna, V., Vezzani, A., (2005) Laser Phys., 15, p. 361. , LAPHEJ 1054-660X
  • Carusotto, I., Castin, Y., (2003) Laser Phys., 5, p. 91. , LAPHEJ 1054-660X
  • Zakrzeski, J., cond-mat/0406186; Schroll, C., Marquardt, F., Bruder, C., (2004) Phys. Rev. A, 70, p. 053609. , PLRAAN 1050-2947 10.1103/PhysRevA.70.053609
  • Buonsante, P., Vezzani, A., cond-mat/0503232; Kramer, M., Pitaievskii, L., Stringari, S., (2002) Phys. Rev. Lett., 88, p. 180404. , PRLTAO 0031-9007 10.1103/PhysRevLett.88.180404
  • Girardeau, M., Arnowitt, R., (1959) Phys. Rev., 113, p. 755. , PHRVAO 0031-899X 10.1103/PhysRev.113.755
  • Castin, Y., Dum, R., (1997) Phys. Rev. Lett., 79, p. 3553. , PRLTAO 0031-9007 10.1103/PhysRevLett.79.3553
  • Castin, Y., Dum, R., (1998) Phys. Rev. A, 57, p. 3008. , PLRAAN 1050-2947 10.1103/PhysRevA.57.3008
  • Gardiner, C., (1997) Phys. Rev. A, 56, p. 1414. , PLRAAN 1050-2947 10.1103/PhysRevA.56.1414
  • Gardiner, S.A., Jaksch, D., Dum, R., Cirac, J.I., Zoller, P., (2000) Phys. Rev. A, 62, p. 023612. , PLRAAN 1050-2947 10.1103/PhysRevA.62.023612
  • Morgan, S., (2004) Phys. Rev. A, 69, p. 023609. , PLRAAN 1050-2947 10.1103/PhysRevA.69.023609
  • Idziaszek, Z., (2005) Phys. Rev. A, 71, p. 053604. , PLRAAN 1050-2947 10.1103/PhysRevA.71.053604
  • Dziarmaga, J., cond-mat/0506723; Andersen, J., (2004) Rev. Mod. Phys., 76, p. 599. , RMPHAT 0034-6861 10.1103/RevModPhys.76.599
  • Maria Rey, A., Hu, B.L., Calzetta, E., Roura, A., Clark, C., (2004) Phys. Rev. A, 69, p. 033610. , PLRAAN 1050-2947 10.1103/PhysRevA.69.033610
  • Maria Rey, A., Hu, B.L., Calzetta, E., Clark, C., (2005) Phys. Rev. A, 72, p. 023604. , PLRAAN 1050-2947 10.1103/PhysRevA.72.023604
  • Goral, K., Kãhler, T., Gasenzer, T., Burnett, K., (2004) J. Mod. Opt., 51, p. 1731. , JMOPEW. 0950-0340. 10.1080/09500340410001684366
  • Liang, J.-J., Liang, J.-Q., Liu, W., (2003) Phys. Rev. A, 68, p. 043605. , PLRAAN 1050-2947 10.1103/PhysRevA.68.043605
  • Sengupta, K., Dupuis, N., (2005) Phys. Rev. A, 71, p. 033629. , PLRAAN 1050-2947 10.1103/PhysRevA.71.033629
  • Sengupta, K., Dupuis, N., (2005) Europhys. Lett., 70, p. 586. , EULEEJ 0295-5075
  • Paredes, B., (2004) Nature (London), 429, p. 277. , NATUAS 0028-0836 10.1038/nature02530
  • Holland, M., (2004) Nature (London), 429, p. 251. , NATUAS 0028-0836 10.1038/429251a
  • Girardeau, M., (1960) J. Math. Phys., 1, p. 516. , JMAPAQ 0022-2488 10.1063/1.1703687
  • Lieb, E.H., Liniger, W., (1963) Phys. Rev., 130, p. 1605. , PHRVAO 0031-899X 10.1103/PhysRev.130.1605
  • Kinoshita, T., Wenger, T., Weiss, D.S., (2004) Science, 305, p. 1125. , SCIEAS 0036-8075 10.1126/science.1100700
  • Cazalilla, M.A., (2003) Phys. Rev. A, 67, p. 053606. , PLRAAN 1050-2947 10.1103/PhysRevA.67.053606
  • Cazalilla, M.A., (2004) Phys. Rev. A, 70, p. 041604. , PLRAAN 1050-2947 10.1103/PhysRevA.70.041604
  • Salasnich, L., Parola, A., Reatto, L., cond-mat/0507190; Pupillo, G., Rey, A., Williams, C., Clark, C., cond-mat/0505325; Fresard, R., cond-mat/9405053;; Dickerscheid, D., Van Oosten, D., Denteneer, P., Stoof, H., (2003) Phys. Rev. A, 68, p. 043623. , PLRAAN 1050-2947 10.1103/PhysRevA.68.043623
  • Yu, Y., Chui, S., (2005) Phys. Rev. A, 71, p. 033608. , PLRAAN 1050-2947 10.1103/PhysRevA.71.033608
  • Madelung, E., (1927) Z. Phys., 40, p. 322. , ZEPYAA 0044-3328
  • Haldane, F., (1981) Phys. Rev. Lett., 47, p. 1840. , PRLTAO 0031-9007 10.1103/PhysRevLett.47.1840
  • Carruthers, P., Nieto, M., (1968) Rev. Mod. Phys., 40, p. 411. , RMPHAT 0034-6861 10.1103/RevModPhys.40.411
  • Pegg, D., Barnett, S., (1989) Phys. Rev. A, 39, p. 1665. , PLRAAN 1050-2947 10.1103/PhysRevA.39.1665
  • Vargas-Martinez, J., Moya-Cessa, H., (2004) J. Opt. B: Quantum Semiclassical Opt., 6, p. 155. , JOBOFD 1464-4266
  • Amico, L., Penna, V., (2000) Phys. Rev. B, 62, p. 1224. , PRBMDO 0163-1829 10.1103/PhysRevB.62.1224
  • Anglin, J., Drummond, P., Smerzi, A., (2001) Phys. Rev. A, 64, p. 063605. , PLRAAN 1050-2947 10.1103/PhysRevA.64.063605
  • Mora, C., Castin, Y., (2003) Phys. Rev. A, 67, p. 053615. , PLRAAN 1050-2947 10.1103/PhysRevA.67.053615
  • Castin, Y., cond-mat/0407118;; Nazario, Z., Santiago, D., (2004) J. Low Temp. Phys., 137, p. 599. , JLTPAC 0022-2291 10.1007/s10909-004-0894-7
  • Balents, L., Bartosch, L., Burkov, A., Sachdev, S., Sengupta, K., (2005) Phys. Rev. B, 71, p. 144508. , PRBMDO 0163-1829 10.1103/PhysRevB.71.144508
  • Balents, L., cond-mat/0504692; Sachdev, S., (1999) Quantum Phase Transitions, , Cambridge University Press, Cambridge, England
  • Polkovnikov, A., (2004) J. Supercond., 17, p. 577. , JOUSEH 0896-1107 10.1007/s10948-004-0771-2
  • Buchler, H., Blatter, G., Zwerger, W., (2003) Phys. Rev. Lett., 90, p. 130401. , PRLTAO 0031-9007 10.1103/PhysRevLett.90.130401
  • Altman, E., Auerbach, A., (2002) Phys. Rev. Lett., 89, p. 250404. , PRLTAO 0031-9007 10.1103/PhysRevLett.89.250404
  • Sachdev, S., Sengupta, K., Girvin, S., (2002) Phys. Rev. B, 66, p. 075128. , PRBMDO 0163-1829 10.1103/PhysRevB.66.075128
  • Sengupta, K., Powell, S., Sachdev, S., cond-mat/0311355;; Aizenman, M., Lieb, E., Seiringer, R., Solovej, J., Yngvason, J., cond-mat/0412034;; Polkovnikov, A., Altman, E., Demler, E., Halperin, B., Lukin, M., (2005) Phys. Rev. A, 71, p. 063613. , PLRAAN 1050-2947 10.1103/PhysRevA.71.063613
  • Tuchman, A.K., cond-mat/0504762;; Polkovnikov, A., (2003) Phys. Rev. A, 68, p. 033609. , PLRAAN 1050-2947 10.1103/PhysRevA.68.033609
  • Polkovnikov, A., (2003) Phys. Rev. A, 68, p. 053604. , PLRAAN 1050-2947 10.1103/PhysRevA.68.053604
  • Isella, L., Ruostekoski, J., cond-mat/0409475; Jain, P., Gardiner, C., cond-mat/0404642; Schwinger, J.S., (1961) J. Math. Phys., 2, p. 407. , JMAPAQ 0022-2488 10.1063/1.1703727
  • Keldysh, L.V., (1964) Zh. Eksp. Teor. Fiz., 47, p. 1515. , ZETFA7 0044-4510 10.1103/PhysRev.115.134210.1103/PhysRev.126.329
  • Keldysh, L.V., (1965) Sov. Phys. JETP, 20, p. 1018. , SPHJAR 0038-5646 10.1103/PhysRev.115.134210.1103/PhysRev.126.329
  • Korenman, V., (1966) Ann. Phys. (N.Y.), 39, p. 72. , APNYA6 0003-4916 10.1016/0003-4916(66)90137-0
  • Zhou, G., Su, Z., Hao, B., Yu, L., (1985) Phys. Rep., 118, p. 1. , PRPLCM 0370-1573 10.1016/0370-1573(85)90136-X
  • Andersen, J., Al Khawaja, U., Stoof, H.T.C., (2002) Phys. Rev. Lett., 88, p. 070407. , PRLTAO 0031-9007 10.1103/PhysRevLett.88.070407
  • Proukakis, N., cond-mat/0505039; Friebel, S., Dâandrea, C., Walz, J., Weitz, M., Hansch, T.W., (1998) Phys. Rev. A, 57, p. 20. , PLRAAN 1050-2947 10.1103/PhysRevA.57.R20
  • Calzetta, E., Hu, B.-L., cond-mat/0508240; Lee, P., Nagaosa, N., (1992) Phys. Rev. B, 46, p. 5621. , PRBMDO 0163-1829 10.1103/PhysRevB.46.5621
  • Dirac, P., (1950) Can. J. Math., 2, p. 129. , CJMAAB 0008-414X
  • Dirac, P., (1958) Proc. R. Soc. London, Ser. A, 246, p. 326. , PRLAAZ 1364-5021
  • (1965) Lectures on Quantum Field Theory, , Yeshiva University, New York
  • Peskin, M., Schroeder, D., (1995) An Introduction to Quantum Field Theory, , Addison-Wesley, New York
  • Orzel, C., (2001) Science, 291, p. 2386. , SCIEAS 0036-8075 10.1126/science.1058149
  • Kãhl, M., (2005) J. Low Temp. Phys., 138, p. 635. , JLTPAC. 0022-2291. 10.1007/s10909-005-2273-4
  • Roth, R., Burnett, K., (2004) J. Phys. D, 37, p. 3893. , JPAPBE 0022-3727
  • Van Oosten, D., Dickerscheid, D.B.M., Farid, B., Van Der Straten, P., Stoof, H.T.C., (2005) Phys. Rev. A, 71, p. 021601. , PLRAAN 1050-2947 10.1103/PhysRevA.71.021601
  • Rey, A.M., Pupillo, G., Clark, C., Williams, C., cond-mat/0503477;; Mariani, E., Stern, A., cond-mat/0505755; Batrouni, G., cond-mat/0503371;; Kashurnikov, V., Prokofâev, N., Svistunov, B., (2002) Phys. Rev. A, 66, p. 031601. , PLRAAN 1050-2947 10.1103/PhysRevA.66.031601
  • Zakrewski, J., (2005) Phys. Rev. A, 71, p. 043601. , PLRAAN 1050-2947 10.1103/PhysRevA.71.043601
  • Wessel, S., (2004) Phys. Rev. A, 70, p. 053615. , PLRAAN 1050-2947 10.1103/PhysRevA.70.053615
  • De Marco, B., cond-mat/0501718; Savard, T., Oâhara, K., Thomas, J., (1997) Phys. Rev. A, 56, p. 1095. , PLRAAN 1050-2947 10.1103/PhysRevA.56.R1095
  • Van Oosten, D., Van Der Straten, P., Stoof, H.T.C., cond-mat/0205066;; Pupillo, G., Williams, C., Prokofâev, N., cond-mat/0407075;; Reischl, A., Schmidt, K., Uhrig, G., cond-mat/0504724; Altman, E., Hofstetter, W., Demler, E., Lukin, M., (2003) New J. Phys., 5, p. 1131. , NJOPFM 1367-2630
  • Stoferle, T., (2004) Phys. Rev. Lett., 92, p. 130403. , PRLTAO 0031-9007 10.1103/PhysRevLett.92.130403
  • Schori, C., (2004) Phys. Rev. Lett., 93, p. 240402. , PRLTAO 0031-9007 10.1103/PhysRevLett.93.240402
  • Rey, A.M., Hu, B.-L., Calzetta, E., ; Negele, J., Orland, H., (1998) Quantum Many-Particle Systems, , Perseus Books, New York
  • Coleman, S., (1985) Aspects of Symmetry, , Cambridge University Press, Cambridge, England
  • Calzetta, E., Hu, B.-L., (1987) Phys. Rev. D, 35, p. 495. , PRVDAQ 0556-2821 10.1103/PhysRevD.35.495
  • Calzetta, E., Hu, B.-L., (1988) Phys. Rev. D, 37, p. 2878. , PRVDAQ 0556-2821 10.1103/PhysRevD.37.2878
  • Kleinert, H., (1990) Path Integrals in Quantum Mechanics, Statistics and Polymer Physics, , World Scientific, Singapore
  • Drummond, P.D., Deuar, P., Kheruntsyan, K.V., (2004) Phys. Rev. Lett., 92, p. 040405. , PRLTAO 0031-9007 10.1103/PhysRevLett.92.040405
  • Whittaker, E.T., Watson, G.N., (1984) A Course of Modern Analysis, , Cambridge University Press, Cambridge, England
  • Kãhl, M.,

Citas:

---------- APA ----------
Calzetta, E., Hu, B.L. & Rey, A.M. (2006) . Bose-Einstein-condensate superfluid-Mott-insulator transition in an optical lattice. Physical Review A - Atomic, Molecular, and Optical Physics, 73(2).
http://dx.doi.org/10.1103/PhysRevA.73.023610
---------- CHICAGO ----------
Calzetta, E., Hu, B.L., Rey, A.M. "Bose-Einstein-condensate superfluid-Mott-insulator transition in an optical lattice" . Physical Review A - Atomic, Molecular, and Optical Physics 73, no. 2 (2006).
http://dx.doi.org/10.1103/PhysRevA.73.023610
---------- MLA ----------
Calzetta, E., Hu, B.L., Rey, A.M. "Bose-Einstein-condensate superfluid-Mott-insulator transition in an optical lattice" . Physical Review A - Atomic, Molecular, and Optical Physics, vol. 73, no. 2, 2006.
http://dx.doi.org/10.1103/PhysRevA.73.023610
---------- VANCOUVER ----------
Calzetta, E., Hu, B.L., Rey, A.M. Bose-Einstein-condensate superfluid-Mott-insulator transition in an optical lattice. Phys Rev A. 2006;73(2).
http://dx.doi.org/10.1103/PhysRevA.73.023610