Suppression of the critical temperature for superfluidity near the Mott transition

Nature Physics

Volumn 6, Issue 12, 2010, Pages 998-1004

  Trotzky, S ^a   Pollet, L ^b,c   Gerbier, F ^d   Schnorrberger, U ^a   Bloch, I ^a,e   Prokof'ev, N V ^b,f   Svistunov, B ^b,f   Troyer, M ^c  

^a JOHANNES GUTENBERG UNIVERSITY   (Germany)

^b UNIVERSITY OF MASSACHUSETTS   (United States)

^c ETH ZURICH   (Switzerland)

^d CNRS   (France)

^e MAX PLANCK INSTITUT FÜR QUANTENOPTIK   (Germany)

^f KURCHATOV INSTITUTE   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

BOSONS; CRYSTAL LATTICES; GASES; INTELLIGENT SYSTEMS; MONTE CARLO METHODS; MOTT INSULATORS; NUMERICAL METHODS; OPTICAL MATERIALS; PHASE DIAGRAMS; QUANTUM THEORY; TEMPERATURE;

BENCH-MARK PROBLEMS; CRITICAL TEMPERATURES; FINITE TEMPERATURES; QUANTUM MANY-BODY SYSTEMS; QUANTUM MONTE CARLO SIMULATIONS; QUANTUM SIMULATORS; STATE OF THE ART; ULTRACOLD ATOMIC GAS;

OPTICAL LATTICES;

EID: 78649857883     PISSN: 17452473     EISSN: 17452481     Source Type: Journal    
DOI: 10.1038/nphys1799     Document Type: Article

References (45)

1. Jaksch, D. & Zoller, P. The cold atom Hubbard toolbox. Ann. Phys. 315, 52-79 (2005).
2. Lewenstein, M. et al. Ultracold atomic gases in optical lattices: Mimicking condensed matter physics and beyond. Adv. Phys. 56, 243-379 (2007).
3. Bloch, I., Dalibard, J. & Zwerger, W. Many-body physics with ultracold gases. Rev. Mod. Phys. 80, 885-964 (2008).
4. Greiner, M., Mandel, O., Esslinger, T., Hänsch, T. W. & Bloch, I. Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms. Nature 415, 39-44 (2002).
5. Paredes, B. et al. Tonks-Girardeau gas of ultracold atoms in an optical lattice. Nature 429, 277-281 (2004).
6. Kinoshita, T., R. W., T. & Weiss, D. S. Observation of a one-dimensional Tonks-Girardeau gas. Science 305, 1125-1128 (2004).
7. Hadzibabic, Z., Krüger, P., Cheneau, M., Battelier, B. & Dalibard, J. Berezinskii-Kosterlitz-Thouless crossover in a trapped atomic gas. Nature 441, 1118-1121 (2006).
8. Fisher, M. P. A., Weichman, P. B., Grinstein, G. & Fisher, D. S. Boson localization and the superfluid-insulator transition. Phys. Rev. B 40, 546-570 (1989).
9. Jaksch, D., Bruder, C., Cirac, J. I., Gardiner, C. W. & Zoller, P. Cold bosonic atoms in optical lattices. Phys. Rev. Lett. 81, 3108-3111 (1998).
10. Sachdev, S. Quantum Phase Transitions (Cambridge Univ. Press, 1999).
11. Stöferle, T., Moritz, H., Schori, C., Köhl, M. & Esslinger, T. Transition form a strongly interacting 1d superfluid to a Mott insulator. Phys. Rev. Lett. 92, 130403 (2004).
12. Gerbier, F. et al. Phase coherence of an atomic Mott insulator. Phys. Rev. Lett. 95, 050404 (2005).
13. Gerbier, F., Fölling, S., Widera, A., Mandel, O. & Bloch, I. Probing number squeezing of ultracold atoms across the superfluid-Mott insulator transition. Phys. Rev. Lett. 96, 090401 (2006).
14. Fölling, S., Widera, A., Müller, T., Gerbier, F. & Bloch, I. Formation of spatial shell structure in the superfluid to Mott insulator transition. Phys. Rev. Lett. 97, 060403 (2006).
15. Campbell, G. K. et al. Imaging the Mott insulator shells by using atomic clock shifts. Science 313, 649-652 (2006).
16. Spielman, I. B., Phillips, W. D. & Porto, J. V. Mott-insulator transition in a two-dimensional atomic Bose gas. Phys. Rev. Lett. 98, 080404 (2007).
17. Mun, J., Campbell, G. K., Marcassa, L. G., Pritchard, D. E. & Ketterle, W. Phase diagram for a Bose-Einstein condensate moving in an optical lattice. Phys. Rev. Lett. 99, 150604 (2007).
18. Spielman, I. B., Phillips, W. D. & Porto, J. V. Condensate fraction in a 2d Bose gas measured across the Mott-insulator transition. Phys. Rev. Lett. 100, 120402 (2008).
19. Guarrera, V. et al. Noise correlation spectroscopy of the broken order of a Mott insulating phase. Phys. Rev. Lett. 100, 250403 (2008).
20. Sheshadri, K., Krishnamurthy, H. R., Pandit, R. & Ramakrishnan, T. V. Superfluid and insulating phases in an interacting-boson model: Mean-field theory and the RPA. Europhys. Lett. 22, 257-263 (1993).
21. Elstner, N. & Monien, H. Dynamics and thermodynamics of the Bose-Hubbard model. Phys. Rev. B 59, 12184-12187 (1999).
22. Dickerscheid, D. B. M., van Oosten, D., Denteneer, P. J. H. & Stoof, H. T. C. Ultracold atoms in optical lattices. Phys. Rev. A 68, 043623 (2003).
23. DeMarco, B., Lannert, C., Vishveshwara, S. & Wei, T-C. Structure and stability of Mott-insulator shells of bosons trapped in an optical lattice. Phys. Rev. A 71, 063601 (2005).
24. Pupillo, G., Williams, C. J. & Prokof'ev, N. V. Effects of finite temperature on the Mott-insulator state. Phys. Rev. A 73, 013408 (2006).
25. Blakie, P. B., Rey, A-M. & Bezett, A. Thermodynamics of quantum degenerate gases in optical lattices. Laser Phys. 17, 198-204 (2007).
26. Capogrosso-Sansone, B., Prokof'ev, N. & Svistunov, B. Phase diagram and thermodynamics of the three-dimensional Bose-Hubbard model. Phys. Rev. B 75, 134302 (2007).
27. Diener, R. B., Zhou, Q., Zhai, H. & Ho, T-L. Criterion for bosonic superfluidity in an optical lattice. Phys. Rev. Lett. 98, 180404 (2007).
28. Kato, Y., Zhou, Q., Kawashima, N. & Trivedi, N. Sharp peaks in the momentum distribution of bosons in optical lattices in the normal state. Nature Phys. 4, 617-621 (2008).
29. Gerbier, F. et al. Expansion of a quantum gas released from an optical lattice. Phys. Rev. Lett. 101, 155303 (2008).
30. Kollath, C., Schollwöck, U., von Delft, J. & Zwerger, W. Spatial correlations of trapped one-dimensional bosons in an optical lattice. Phys. Rev. A 69, 031601 (2004).
31. Kashurnikov, V., Prokofiev, N. & Svistunov, B. Revealing the superfluid-Mott-insulator transition in an optical lattice. Phys. Rev. A 66, 031601 (2002).
32. Muradyan, G. & Anglin, J. R. Finite-temperature coherence of the ideal Bose gas in an optical lattice. Phys. Rev. A 78, 053628 (2008).
33. McKay, D., White, M. & DeMarco, B. Lattice thermodynamics for ultracold atoms. Phys. Rev. A 79, 063605 (2009).
34. Rey, A. M., Pupillo, G. & Porto, J. V. The role of interactions, tunneling and harmonic confinement on the adiabatic loading of bosons in an optical lattice. Phys. Rev. A 73, 023608 (2006).
35. Ho, T-L. & Zhou, Q. Intrinsic heating and cooling in adiabatic processes for bosons in optical lattices. Phys. Rev. Lett. 99, 120404 (2007).
36. Gerbier, F. Boson Mott insulators at finite temperatures. Phys. Rev. Lett. 99, 120405 (2007).
37. Pollet, L., Kollath, C., Houcke, K. V. & Troyer, M. Temperature changes when adiabatically ramping up an optical lattice. New J. Phys. 10, 065001 (2008).
38. Zhou, Q., Kato, Y., Kawashima, N. & Trivedi, N. Direct mapping of the finite temperature phase diagram of strongly correlated quantum models. Phys. Rev. Lett. 103, 085701 (2009).
39. Gericke, T. et al. Adiabatic loading of a Bose-Einstein condensate in a 3d optical lattice. J. Mod. Opt. 54, 735-743 (2007).
40. Prokof'ev, N. V., Svistunov, B. V. & Tupitsyn, I. Exact, complete, and universal continuous-time worldline Monte Carlo approach to the statistics of discrete quantum systems. Sov. Phys. JETP 87, 310-321 (1998).
41. Pollet, L., Houcke, K. V. & Rombouts, S. M. A. Engineering local optimality in quantum Monte Carlo algorithms. J. Comput. Phys. 225, 2249-2266 (2007).
42. Fölling, S. et al. Spatial quantum noise interferometry in expanding ultracold atom clouds. Nature 434, 481-484 (2005).
43. Leggett, A. J. Superfluidity. Rev. Mod. Phys. 71, S318-S323 (1999).
44. Gerbier, F. et al. Critical temperature of a trapped, weakly interacting Bose gas. Phys. Rev. Lett. 92, 030405 (2004).
45. Ketterle, W., Durfee, D. S. & Stamper-Kurn, D. M. in Proc. Int. School of Physics-Enrico Fermi (eds Inguscio, M., Stringari, S. & Wieman, C. E.) 67-176 (IOS Press, 1999).