Abstract
We investigate magnetic properties of strongly interacting bosonic mixtures confined in one dimensional geometries, focusing on recently realized 87Rb-41K gases with tunable interspecies interactions. By combining analytical perturbation theory results with density-matrix-renormalization group calculations, we provide quantitative estimates of the ground state phase diagram as a function of the relevant microscopic quantities, identifying the more favorable experimental regimes in order to access the various magnetic phases. Finally, we qualitatively discuss the observability of such phases in realistic setups when finite temperature effects have to be considered.
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D. Jaksch, C. Bruder, J.I. Cirac, C. Gardiner, P. Zoller, Phys. Rev. Lett. 81, 3108 (1998)
I. Bloch, J. Dalibard, W. Zwerger, Rev. Mod. Phys. 80, 885 (2008)
S. Giorgini, L.P. Pitaevskii, S. Stringari, Rev. Mod. Phys. 80, 1215 (2008)
F. Dalfovo, S. Giorgini, L.P. Pitaevskii, S. Stringari, Rev. Mod. Phys. 71, 463 (1999)
M. Lewenstein, A. Sanpera, V. Ahufinger, B. Damski, A. Sen De Ujjwal Send, Adv. Phys. 56, 243 (2007)
M.A. Cazalilla, R. Citro, T. Giamarchi, E. Orignac, M. Rigol, Rev. Mod. Phys. 83, 1405 (2011)
A.O. Gogolin, A.A. Nersesyan, A.M. Tsvelik, Bosonization and strongly correlated systems (Cambridge University press, Cambridge, 1998)
T. Giamarchi, Quantum Physics in one dimension (Oxford University press, Oxford, 2003)
A.P. Balachandran, E. Ercolessi, G. Morandi, A.M. Srivastava, Hubbard Model and Anyon Superconductivity (World Scientific, Singapore, 1990)
F. Essler, H. Frahm, F. Göhmann, A. Klümper, V. Korepin, The One-Dimensional Hubbard Model (Cambridge University Press, Cambridge, 2005)
A. Feiguin, F. Heidrich-Meisner, G. Orso, W. Zwerger, Lect. Not. Phys. 836, 503 (2011)
T. Giamarchi, H.J. Schulz, Phys. Rev. B 37, 325 (1988)
M. Fisher, P.B. Weichman, G. Grinstein, D.S. Fisher, Phys. Rev. B 40, 546 (1989)
A.B. Kuklov, B. Svistunov, Phys. Rev. Lett. 90, 100401 (2003)
E. Altman, W. Hofstetter, E. Demler, M.D. Lukin, New J. Phys. 5, 113 (2003)
B. Capogrosso-Sansone, S.G. Söyler, N.V. Prokof’ev, B.V. Svistunov, Phys. Rev. A 81, 053622 (2010)
M. Guglielmino, V. Penna, B. Capogrosso-Sansone, Phys. Rev. A 82, 021601 (2010)
T. Roscilde, C. Degli Esposti Boschi, M. Dalmonte, EPL 97, 23002 (2012)
A. Hubener, M. Snoek, W. Hofstetter, Phys. Rev. A 80, 245109 (2009)
A. Hu, L. Mathey, I. Danshita, E. Tiesinga, C.J. Williams, C.W. Clark, Phys. Rev. A 80, 023619 (2009)
L. Mathey, Phys. Rev. B 75, 144510 (2007)
M. Dalmonte, K. Dieckmann, T. Roscilde, C. Hartl, A.E. Feiguin, U. Schollwöck, F. Heidrich-Meisner, Phys. Rev. A 85, 063608 (2012)
T. Roscilde, J.I. Cirac, Phys. Rev. Lett. 98, 190402 (2007)
A. Isacsson, Min-Chul Cha, K. Sengupta, S.M. Girvin, Phys. Rev. B 72, 184507 (2005)
M. Greiner, O. Mandel, T. Esslinger, T.W. Hänsch, I. Bloch, Nature 415, 39 (2002)
B. Paredes, A. Widera, V. Murg, O. Mandel, S. Fölling, I. Cirac, G.V. Shlyapnikov, T.W. Hänsch, I. Bloch, Nature 429, 277 (2004)
T. Kinoshita, T. Wenger, D.S. Weiss, Science 305, 1125 (2004)
E. Haller, M. Gustavsson, M.J. Mark, J.G. Danzl, R. Hart, G. Pupillo, H.-C. Nägerl, Science 325, 1224 (2009)
T. Stöferle, H. Moritz, C. Schori, M. Köhl, T. Esslinger, Phys. Rev. Lett. 92, 130403 (2004)
E. Haller, R. Hart, M.J. Mark, J.G. Danzl, L. Reichsöllner, M. Gustavsson, M. Dalmonte, G. Pupillo, H.-C. Nägerl, Nature 466, 597 (2010)
T. Kinoshita, T. Wenger, D.S. Weiss, Nature 440, 900 (2006)
J. Simon, W.S. Bakr, R. Ma, M.E. Tai, P.M. Preiss, M. Greiner, Nature 472, 307 (2011)
G. Thalhammer, G. Barontini, L. De Sarlo, J. Catani, F. Minardi, M. Inguscio, Phys. Rev. Lett. 100, 210402 (2008)
J. Catani, G. Barontini, G. Lamporesi, F. Rabatti, G. Thalhammer, F. Minardi, S. Stringari, M. Inguscio, Phys. Rev. Lett. 103, 140401 (2009)
J.R. Schrieffer, P.A. Wolff, Phys. Rev. 149, 491 (1966)
L. Barbiero, M. Casadei, M. Dalmonte, C. Degli Esposti Boschi, E. Ercolessi, F. Ortolani, Phys. Rev. B 81, 224512 (2010)
W. Chen, K. Hida, B.C. Sanctuary, Phys. Rev. B 67, 104401 (2003)
T. Kennedy, H. Tasaki, Commun. Math. Phys. 147, 431 (1992)
S.R. White, Phys. Rev. Lett. 69, 2863 (1992)
U. Schollwöck, Rev. Mod. Phys. 77, 259 (2005)
C. Chin, R. Grimm, P. Julienne, E. Tiesinga, Rev. Mod. Phys. 82, 1225 (2010)
H.J. Schulz, Phys. Rev. B 34, 6372 (1986)
C. Degli Esposti Boschi, E. Ercolessi, F. Ortolani, M. Roncaglia, Eur. Phys. J. B 35, 465 (2003)
F.D.M. Haldane, Phys. Rev. Lett. 50, 1153 (1983)
M. den Nijs, K. Rommelse, Phys. Rev. B 40, 4709 (1989)
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Dalmonte, M., Ercolessi, E., Mattioli, M. et al. Magnetic properties of commensurate Bose-Bose mixtures in one-dimensional optical lattices. Eur. Phys. J. Spec. Top. 217, 13–27 (2013). https://doi.org/10.1140/epjst/e2013-01750-2
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DOI: https://doi.org/10.1140/epjst/e2013-01750-2