Order via nonlinearity in randomly confined bose gases

International Journal of Bifurcation and Chaos

Volumn 19, Issue 8, 2009, Pages 2745-2753

  Graham, Robert ^a   Pelster, Axel ^a  

^a UNIVERSITY OF DUISBURG ESSEN   (Germany)

Author keywords

Bose gas; Bose glass order parameter; Bose glass phase; HartreeFock mean field theory; Phase diagram; Quenched disorder

Indexed keywords

BOSE-EINSTEIN CONDENSATION; BOSONS; GLASS; GLASS TRANSITION; MEAN FIELD THEORY; PHASE DIAGRAMS; WHITE NOISE;

BOSE GAS; BOSE GLASS; HARTREE-FOCK; ORDER PARAMETER; QUENCHED DISORDER;

GASES;

EID: 70449381245     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127409024451     Document Type: Conference Paper

References (42)

1. Astrakharchik, G. E., Boronat, J., Casulleras, J. & Giorgini, S. [2002] "Super.uidity versus Bose- Einstein condensation in a Bose gas with disorder," Phys. Rev. A 66, 023603-1-023603-23604
2. Clément, D., Vaŕon, A. F., Hugbart, M., Retter, J. A., Bouyer, P., Sanchez-Palencia, L., Gangardt, D. M., Shlyapnikov, G. V. & Aspect, A. [2005] "Suppression of transport of an interacting elongated Bose-Einstein condensate in a random potential," Phys. Rev. Lett. 95, 170409-1-170409-170414 Dainty, J. C. (ed.) [1975] Laser Speckle and Related Phenomena (Springer, Berlin).
3. Damski, B., Zakrzewski, J., Santos, L., Zoller, P. & Lewenstein, M. [2003] "Atomic Bose and Anderson glasses in optical lattices," Phys. Rev. Lett. 91, 080403-1-080403-80404
4. De Martino, A., Thorwart, M., Egger, R. & Graham, R. [2005] "Exact results for one-dimensional disordered bosons with strong repulsion," Phys. Rev. Lett. 94, 060402-1-060402-60404
5. Dotsenko, V. [2001] Introduction to the Replica Theory of Disordered Statistical Systems (Cambridge University Press, Cambridge).
6. Edwards, S. F. & Anderson, P. W. [1975] "Theory of spin glasses," J. Phys. F 5, 965-974.
7. Edwards, S. F. & Muthukumar, M. [1988] "The size of a polymer in random-media," J. Chem. Phys. 89, 2435-2441.
8. Falco, G. M., Pelster, A. & Graham, R. [2007] "Thermodynamics of a Bose-Einstein condensate with weak disorder," Phys. Rev. A 75, 063619-1-063619-63711
9. Fisher, M. P. A., Weichman, P. B., Grinstein, G. & Fisher, D. S. [1989] "Boson localization and the super.uid-insulator transition," Phys. Rev. B 40, 546-570.
10. Fischer, K. H. & Hertz, J. A. [1991] Spin Glasses (Cambridge University Press, Cambridge).
11. Fließer, M., Reidl, J., Szépfalusy, P. & Graham, R. [2001] "Conserving and gapless model of the weakly interacting Bose gas," Phys. Rev. A 64, 013609-1-013609-13614
12. Folman, R., Krüger, P., Schmiedmayer, J., Denschlag, J. & Henkel, C. [2002] "Microscopic atom optics: From wires to an atom chip," Adv. At. Mol. Opt. Phys. 48, 263-356.
13. Fortágh, J. & Zimmermann, C. [2007] "Magnetic micro traps for ultracold atoms," Rev. Mod. Phys. 79, 235-289.
14. Giamarchi, T. & Schulz, H. J. [1987] "Localization and interaction in one-dimensional quantum fluids," Europhys. Lett. 3, 1287-1293.
15. Giamarchi, T. & Schulz, H. J. [1988] "Anderson localization and interaction in one-dimensional metals," Phys. Rev. B 37, 325-340.
16. Giorgini, S., Pitaevskii, L. & Stringari, S. [1994] "E.ects of disorder in a dilute Bose-Gas," Phys. Rev. B 49, 12938-12944.
17. Goldman, V. V., Silvera, I. F. & Leggett, A. J. [1981] "Atomic hydrogen in an inhomogeneous magnetic .eld: Density pro.le and Bose-Einstein condensation," Phys. Rev. B 24, 2870-2873.
18. Greiner,M., Mandel, O., Esslinger, T., Hänsch, T. W. & Bloch, I. [2002] "Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms," Nature 415, 39-44.
19. Hertz, J. A., Fleishman, L. & Anderson, P. W. [1979] "Marginal fluctuations in a Bose glass," Phys. Rev. Lett. 43, 942-946.
20. Huang, K. & Meng, H.-F. [1992] "Hard-sphere Bose-Gas in random external potentials," Phys. Rev. Lett. 69, 644-647.
21. Huse, D. A. & Siggia, E. D. [1982] "The density distribution of a weakly interacting Bose gas in an external potential," J. Low Temp. 46, 137-149.
22. Kastening, B. [2004] "Bose-Einstein condensation temperature of a homogenous weakly interacting Bose gas in variational perturbation theory through seven loops," Phys. Rev. A 69, 043613-1-043613-43618
23. Kleinert, H. [2004] Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets, Fourth Edition (World Scienti.c, Singapore).
24. Kobayashi, M. & Tsubota, M. [2002] "Bose-Einstein condensation and super.uidity of a dilute Bose gas in random potential," Phys. Rev. B 66, 174516-1- 174516-174517
25. Krutitsky, K. V., Pelster, A. & Graham, R. [2006] "Mean-field phase diagram of disordered Bosons in a lattice at non-zero temperature," New J. Phys. 8, 187-1-187-214
26. Krutitsky, K. V., Thorwart, M., Egger, R. & Graham, R. [2008] "Ultracold Bosons in lattices with binary disorder," Phys. Rev. A 77, 053609-1-053609-53610
27. Lee, D. K. K. & Gunn, J. M. F. [1990] "Bosons in a random potential: Condensation and screening in a dense limit," J. Phys. C 2, 7753-7768.
28. Lopatin, A. V. & Vinokur, V. M. [2002] "Thermodynamics of the superfluid dilute Bose gas with disorder," Phys. Rev. Lett. 88, 235503-1-235503-235504
29. Lye, J. E., Fallani, L., Modugno, M., Wiersma, D. S., Fort, C. & Inguscio, M. [2005] "Bose-Einstein condensate in a random potential," Phys. Rev. Lett. 95, 070401-1-070401-70404
30. Ma, M., Nisamaneephong, P. & Zhang, L. [1993] "Ground state and excitations of disordered boson systems," J. Low Temp. 93, 957-969.
31. Mezard, M., Parisi, G. & Virasoro, M. A. [1987] Spin Glass Theory and Beyond (World Scientific, Singapore).
32. Navez, P., Pelster, A. & Graham, R. [2007] "Bose condensed gas in strong disorder potential with arbitrary correlation length," Appl. Phys. B 86, 395-398.
33. Read, N., Sachdev, S. & Ye, J. [1995] "Landau theory of quantum spin-glasses of rotors and Ising spins," Phys. Rev. B 52, 384-410.
34. Sachdev, S. [1999] Quantum Phase Transitions (Cambridge University Press, Cambridge).
35. Sanpera, A., Kantian, A., Sanchez-Palencia, L., Zakrzewski, J. & Lewenstein, M. [2004] "Atomic Fermi-Bose mixtures in inhomogeneous and random lattices: From Fermi glass to quantum spin glass and quantum percolation," Phys. Rev. Lett. 93, 040401-1- 040401-40404
36. Schulte, T., Drenkelforth, S., Kruse, J., Ertmer, W., Arlt, J., Sacha, K., Zakrzewski, J. & Lewenstein, M. [2005] "Routes towards Anderson-like localization of Bose-Einstein condensates in disordered optical lattices," Phys. Rev. Lett. 95, 170411-1-170411-170414
37. Schumm, T., Esteve, J., Figl, C., Trebbia, J. B., Aussibal, C., Nguyen, H., Mailly, D., Bouchoule, I., Westbrook, C. I. & Aspect, A. [2005] "Atom chips in the real world: The effects of wire corrugation," Eur. Phys. J. D 32, 171-180.
38. Singh, K. G. & Rokhsar, D. S. [1994] "Disordered bosons: Condensate and excitations," Phys. Rev. B 49, 9013-9023.
39. Wang, D.-W., Lukin, M. D. & Demler, E. [2004] "Disordered Bose-Einstein condensates in quasi-onedimensional magnetic microtraps," Phys. Rev. Lett. 92, 076802-1-076802-76804
40. Wong, G. K. S., Crowell, P. A., Cho, H. A. & Reppy, J. D. [1990] "Superfluid critical-behavior in He-4- Filled porous-media," Phys. Rev. Lett. 65, 2410-2413.
41. Yukalov, V. I. & Graham, R. [2007] "Bose-Einsteincondensed systems in random potentials," Phys. Rev. A 75, 023619-1-023619-23716
42. Yukalov, V. I., Yukalova, E. P., Krutitsky, K. V. & Graham R. [2007] "Bose-Einstein condensed gases in arbitrarily strong random potentials," Phys. Rev. A 76, 053623-1-053623-53711