Fermionic atoms trapped in a one-dimensional optical superlattice with harmonic confinement

Abstract

References (52)

Citing Articles

Download: PDF (583 kB) or Buy this Article (US$25) (Use Article Pack)

Takanori Yamashita and Norio Kawakami
Department of Applied Physics, Osaka University, Suita, Osaka 565-0871, Japan

Makoto Yamashita
NTT Basic Research Laboratories, NTT Corporation, 3-1, Morinosato-Wakamiya, Atsugi-shi, Kanagawa 243-0198, Japan

Received 26 June 2006; published 22 December 2006

Westudy the ground-state properties of spin-1/2 fermionic atoms confined ina one-dimensional optical superlattice with harmonic confinement by using thedensity-matrix renormalization group method. For this purpose, we consider anionic Hubbard model that has superlattice potentials with two-site periodicity.We find that several different types of insulating regimes coexisteven if the number of atoms at each site isnot an integer, but its average within the unit cellis an integer or half integer. This is contrasted tothe coexisting phase of the metallic and Mott-insulating regimes knownfor the ordinary Hubbard model in an optical lattice. Thephase characteristics are elucidated by investigating the profiles of theatom density, the local density (spin) fluctuations, the double occupationprobability, and the spin correlations in detail.

URL:	http://link.aps.org/doi/10.1103/PhysRevA.74.063624
DOI:	10.1103/PhysRevA.74.063624
PACS:	03.75.Ss; 05.30.Fk; 34.50.-s; 71.30.+h 03.75.Ss Degenerate Fermi gases 05.30.Fk Fermion systems and electron gas (quantum statistical mechanics) 34.50.-s Scattering of atoms and molecules 71.30.+h Metal–insulator transitions and other electronic transitions YEAR: 2006
KEYWORDS:	fermion systems, ground states, radiation pressure, renormalisation, Hubbard model, spin fluctuations, probability

REFERENCES (52)

View in Separate Window/Tab

For access to fully linked references, you need to log in. For access to fully linked references, you need to Log in.

O. Morsch and M. Oberthaler, Rev. Mod. Phys. 78, 179 (2006).
T. Stöferle, H. Moritz, C. Schori, M. Köhl, and T. Esslinger, Phys. Rev. Lett. 92, 130403 (2004).
F. Gerbier, A. Widera, S. Fölling, O. Mandel, T. Gericke, and I. Bloch, Phys. Rev. Lett. 95, 050404 (2005).
F. Gerbier, S. Fölling, A. Widera, O. Mandel, and I. Bloch, Phys. Rev. Lett. 96, 090401 (2006).
M. W. Zwierlein, C. A. Stan, C. H. Schunck, S. M. F. Raupach, S. Gupta, Z. Hadzibabic, and W. Ketterle, Phys. Rev. Lett. 91, 250401 (2006).
C. A. Regal, M. Greiner, and D. S. Jin, Phys. Rev. Lett. 92, 040403 (2004).
M. W. Zwierlein, C. A. Stan, C. H. Schunck, S. M. F. Raupach, A. J. Kerman, and W. Ketterle, Phys. Rev. Lett. 92, 120403 (2004).
M. Bartenstein, A. Altmeyer, S. Riedl, S. Jochim, C. Chin, J. H. Denschlag, and R. Grimm, Phys. Rev. Lett. 92, 120401 (2004).
T. Bourdel, L. Khaykovich, J. Cubizolles, J. Zhang, F. Chevy, M. Teichmann, L. Tarruell, S. J. J. M. F. Kokkelmans, and C. Salomon, Phys. Rev. Lett. 93, 050401 (2004).
M. Rigol, A. Muramatsu, G. G. Batrouni, and R. T. Scalettar, Phys. Rev. Lett. 91, 130403 (2003).
M. Rigol and A. Muramatsu, Phys. Rev. A 69, 053612 (2004).
M. Machida, S. Yamada, Y. Ohashi, and H. Matsumoto, Phys. Rev. Lett. 93, 200402 (2004);

ibid. 95, 218901 (2005)

ibid. 95, 218902 (2005)

X.-J. Liu, P. D. Drummond, and H. Hu, Phys. Rev. Lett. 94, 136406 (2005).
V. L. Campo, Jr. and K. Capelle, Phys. Rev. A 72, 061602(R) (2005).
X. Gao, M. Polini, M. P. Tosi, V. L. Campo Jr., K. Capelle, and M. Rigol, Phys. Rev. B 73, 165120 (2006).
G. Modugno, F. Ferlaino, R. Heidemann, G. Roati, and M. Inguscio, Phys. Rev. A 68, 011601(R) (2003).
H. Ott, E. de Mirandes, F. Ferlaino, G. Roati, G. Modugno, and M. Inguscio, Phys. Rev. Lett. 92, 160601 (2004).
M. Köhl, H. Moritz, T. Stöferle, K. Günter, and T. Esslinger, Phys. Rev. Lett. 94, 080403 (2005).
T. Stöferle, H. Moritz, K. Günter, M. Köhl, and T. Esslinger, Phys. Rev. Lett. 96, 030401 (2006).
S. Peil, J. V. Porto, B. L. Tolra, J. M. Obrecht, B. E. King, M. Subbotin, S. L. Rolston, and W. D. Phillips, Phys. Rev. A 67, 051603(R) (2003).
J. Hubbard and J. B. Torrance, Phys. Rev. Lett. 47, 1750 (1981).
S. Ishihara, T. Egami, and M. Tachiki, Phys. Rev. B 49, 8944 (1994).
R. Resta and S. Sorella, Phys. Rev. Lett. 74, 4738 (1995);

82, 370 (1999)

M. Fabrizio, A. O. Gogolin, and A. A. Nersesyan, Phys. Rev. Lett. 83, 2014 (1999).
T. Wilkens and R. M. Martin, Phys. Rev. B 63, 235108 (2001).
M. E. Torio, A. A. Aligia, and H. A. Ceccatto, Phys. Rev. B 64, 121105(R) (2001).
J. Lou, S. Qin, T. Xiang, C. Chen, G.-S. Tian, and Z. Su, Phys. Rev. B 68, 045110 (2003).
Y. Z. Zhang, C. Q. Wu, and H. Q. Lin, Phys. Rev. B 67, 205109 (2003).
S. R. Manmana, V. Meden, R. M. Noack, and K. Schönhammer, Phys. Rev. B 70, 155115 (2004).
H. Otsuka and M. Nakamura, Phys. Rev. B 71, 155105 (2005).
B. Paredes, C. Tejedor, and J. I. Cirac, Phys. Rev. A 71, 063608 (2005).
G. G. Batrouni, V. Rousseau, R. T. Scalettar, M. Rigol, A. Muramatsu, P. J. H. Denteneer, and M. Troyer, Phys. Rev. Lett. 89, 117203 (2002).
V. A. Kashurnikov, N. V. Prokof'ev, and B. V. Svistunov, Phys. Rev. A 66, 031601(R) (2002).
S. Wessel, F. Alet, M. Troyer, and G. G. Batrouni, Phys. Rev. A 70, 053615 (2004).
S. R. White, Phys. Rev. Lett. 69, 2863 (1992).
U. Schollwöck, Rev. Mod. Phys. 77, 259 (2005).