Localization and glassy dynamics of many-body quantum systems

Scientific Reports

Volumn 2, Issue , 2012, Pages

  Carleo, Giuseppe ^a   Becca, Federico ^a   Schiró, Marco ^b   Fabrizio, Michele ^a,c  

^a DEMOCRITOS NATIONAL SIMULATION CENTER   (Italy)

^b PRINCETON UNIVERSITY   (United States)

^c ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84859738828     PISSN: None     EISSN: 20452322     Source Type: Journal    
DOI: 10.1038/srep00243     Document Type: Article

References (35)

1. Parisi, G., Mezard, M. & Virasoro, M. A. Spin glass theory and beyond (World Scientific, Singapore, 1987).
2. Anderson, P. W. Absence of diffusion in certain random lattices. Phys. Rev. 109, 1492-1505 (1958).
3. Basko, D., Aleiner, I. & Altshuler, B. Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states. Annals of Physics 321, 1126-1205 (2006). (Pubitemid 43560343)
4. Oganesyan, V. & Huse, D. A. Localization of interacting fermions at high temperature. Phys. Rev. B 75, 155111 (2007).
5. Pal, A. & Huse, D. A. Many-body localization phase transition. Phys. Rev. B 82, 174411 (2010).
6. Biroli, G. & Mézard, M. Lattice glass models. Phys. Rev. Lett. 88, 025501 (2001).
7. Foini, L., Semerjian, G. & Zamponi, F. Quantum Biroli-Mézard model: Glass transition and superfluidity in a quantum lattice glass model. Phys. Rev. B 83, 094513 (2011).
8. Rigol, M., Dunjko, V. & Olshanii, M. Thermalization and its mechanism for generic isolated quantum systems. Nature 452, 854-858 (2008). (Pubitemid 351550863)
9. Polkovnikov, A., Sengupta, K., Silva, A. & Vengalattore, M. Non equilibrium dynamics of closed interacting quantum systems. Rev. Mod. Phys. 83, 863-883 (2011).
10. Bloch, I., Dalibard, J. & Zwerger, W. Many-body physics with ultracold gases. Rev. Mod. Phys. 80, 885-964 (2008).
11. von Neumann, J. Beweis des ergodensatzes und desh-theorems in der neuen mechanik. Z. Physik 57 (1929).
12. 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). (Pubitemid 128629510)
13. Calabrese, P. & Cardy, J. Quantum quenches in extended systems. J. Stat. Mech. Theor. Exp. P06008 (2007).
14. Trotzky, S. et al. Probing the relaxation towards equilibrium in an isolated strongly correlated 1d bose gas. arXiv: 1101.2659 (2011).
15. Vidal, G. Efficient simulation of one-dimensional quantum many-body systems. Phys. Rev. Lett. 93, 040502 (2004).
16. Kühner, T. D.&Monien,H. Phases of the one-dimensional Bose-Hubbard model. Phys. Rev. B 58, R14741-R14744 (1998). (Pubitemid 128491246)
17. Time-evolving block decimation open source code. URL http://physics. mines.edu/downloads/software/tebd/.
18. Kollath, C. Roux, G. Biroli, G., Läuchli, A. M. Statistical properties of the spectrum of the extended Bose-Hubbard model J. Stat. Mech. 2010, P08011 (2010).
19. Petrosyan, D., Schmidt, B., Anglin, J. R. & Fleischhauer, M. Quantum liquid of repulsively bound pairs of particles in a lattice. Phys. Rev. A 76, 033606 (2007).
20. Rosch, A., Rasch, D., Binz, B. & Vojta, M. Metastable superfluidity of repulsive fermionic atoms in optical lattices. Phys. Rev. Lett. 101, 265301 (2008).
21. Barmettler, P., Punk, M., Gritsev, V., Demler, E. & Altman, E. Quantum quenches in the anisotropic spin-1/2 Heisenberg chain: different approaches to many-body dynamics far from equilibrium. New J. Phys. 12, 055017 (2010).
22. Lanczos, C. An iteration method for the solution of the eigenvalue problem of linear differential and integral operators. J. Res. Natl. Bur. Stand. 45, 225-280 (1950).
23. Canovi, E., Rossini, D., Fazio, R., Santoro, G. E. & Silva, A. Quantum quenches, thermalization, and many-body localization. Phys. Rev. B 83, 094431 (2011).
24. Schiró, M. & Fabrizio, M. Time-dependent mean field theory for quench dynamics in correlated electron systems. Phys. Rev. Lett. 105, 076401 (2010).
25. Sciolla, B. & Biroli, G. Quantum quenches and off-equilibrium dynamical transition in the infinite-dimensional Bose-Hubbard model. Phys. Rev. Lett 105, 220401 (2010).
26. Kollath, C., Läuchli, A. M. & Altman, E. Quench dynamics and nonequilibrium phase diagram of the Bose-Hubbard model. Phys. Rev. Lett. 98, 180601 (2007).
27. Cassidy, A. C. Mason, D. Dunjko, V. Threshold for Chaos and Thermalization in the One-Dimensional Mean-Field Bose-Hubbard Model Phys. Rev. Lett. 102, 025302 (2009).
28. Biroli, G. Kollath, C. Läuchli, A. M. Effect of Rare Fluctuations on the Thermalization of Isolated Quantum Systems Phys. Rev. Lett. 105, 250401 (2010).
29. Roux, G. Quenches in quantum many-body systems: One-dimensional Bose- Hubbard model reexamined. Phys. Rev. A 79, 021608(R) (2009).
30. Biroli, G., Kollath, C. & Läuchli, A. M. Effect of rare fluctuations on the thermalization of isolated quantum systems. Phys. Rev. Lett. 105, 250401 (2010).
31. White, S. R. & Feiguin, A. E. Real-time evolution using the density matrix renormalization group. Phys. Rev. Lett. 93, 076401 (2004).
32. Daley, A. J. et al. Time-dependent density-matrix renormalization-group using adaptive effective hilbert spaces. J. Stat. Mech. Theor. Exp. P04005 (2004).
33. Capello, M., Becca, F., Fabrizio, M. & Sorella, S. Superfluid to mott-insulator transition in Bose-Hubbard models. Phys. Rev. Lett. 99, 056402 (2007).
34. Kollath, C. Private Communication (2011).
35. Bauer, B. et al. The alps project release 2.0: Open source software for strongly correlated systems. J. Stat. Mech. P05001 (2011).