Light-cone-like spreading of correlations in a quantum many-body system

Nature

Volumn 481, Issue 7382, 2012, Pages 484-487

  Cheneau, Marc ^a   Barmettler, Peter ^b   Poletti, Dario ^b   Endres, Manuel ^a   Schauß, Peter ^a   Fukuhara, Takeshi ^a   Gross, Christian ^a   Bloch, Immanuel ^a,c   Kollath, Corinna ^b,d   Kuhr, Stefan ^a,e  

^a MAX PLANCK INSTITUT FÜR QUANTENOPTIK   (Germany)

^b UNIVERSITY OF GENEVA   (Switzerland)

^c UNIVERSITY OF MUNICH   (Germany)

^d CENTRE DE PHYSIQUE THÉORIQUE   (France)

^e UNIVERSITY OF STRATHCLYDE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION; EXPERIMENTAL STUDY; LIGHT EFFECT; QUANTUM MECHANICS; THEORETICAL STUDY; VELOCITY PROFILE;

ARTICLE; GAS; LIGHT; MATHEMATICAL MODEL; PARTICLE SIZE; PRIORITY JOURNAL; QUANTUM MECHANICS; QUANTUM THEORY; TEMPERATURE MEASUREMENT; VELOCITY;

EID: 84856157006     PISSN: 00280836     EISSN: 14764687     Source Type: Journal    
DOI: 10.1038/nature10748     Document Type: Article

References (30)

1. Lieb, E. H. & Robinson, D. W. The finite group velocity of quantum spin systems. Commun. Math. Phys. 28, 251-257 (1972).
2. Bravyi, S., Hastings, M. B. & Verstraete, F. Lieb-Robinson bounds and the generation of correlations and topological quantum order. Phys. Rev. Lett. 97, 050401 (2006).
3. Calabrese, P. & Cardy, J. Time dependence of correlation functions following a quantum quench. Phys. Rev. Lett. 96, 136801 (2006).
4. Eisert, J. & Osborne, T. J. General entanglement scaling laws from time evolution. Phys. Rev. Lett. 97, 150404 (2006).
5. Nachtergaele, B., Ogata, Y. & Sims, R. Propagation of correlations in quantum lattice systems. J. Stat. Phys. 124, 1-13 (2006).
6. Polkovnikov, A., Sengupta, K., Silva, A. & Vengalattore, M. Nonequilibrium dynamics of closed interacting quantum systems. Rev. Mod. Phys. 83, 863-883 (2011).
7. Bose, S. Quantum communication through spin chain dynamics: an introductory overview. Contemp. Phys. 48, 13-30 (2007).
8. Hastings, M. B. Lieb-Schultz-Mattis in higher dimensions. Phys. Rev.B 69, 104431 (2004).
9. Nachtergaele, B. & Sims, R. Much ado about something: why Lieb-Robinson bounds are useful. Preprint at http://arXiv.org/abs/1102.0835 (2011).
10. Nachtergaele, B. & Sims, R. Lieb-Robinson bounds and the exponential clustering theorem. Commun. Math. Phys. 265, 119-130 (2006).
11. Hastings, M. B. & Koma, T. Spectral gap and exponential decay of correlations. Commun. Math. Phys. 265, 781-804 (2006).
12. Eisert, J., Cramer, M. & Plenio, M. B. Area laws for the entanglement entropy. Rev. Mod. Phys. 82, 277-306 (2010).
13. Läuchli, A. M. & Kollath, C. Spreading of correlations and entanglement after a quench in the one-dimensional Bose-Hubbard model. J. Stat. Mech. P05018 (2008).
14. Nachtergaele, B., Raz, H., Schlein, B. & Sims, R. Lieb-Robinson bounds for harmonic and anharmonic lattice systems. Commun.Math. Phys. 286,1073-1098 (2009).
15. Cramer, M., Serafini, A. & Eisert, J. in QuantumInformation and Many Body Quantum Systems Vol. 8 (eds Ericsson, M. & Montangero, S.) 51-72 (Edizioni della Normale, Pisa, 2008).
16. Eisert, J. & Gross, D. Supersonic quantum communication. Phys. Rev. Lett. 102, 240501 (2009).
17. Bloch, I., Dalibard, J. & Zwerger, W. Many-body physics with ultracold gases. Rev. Mod. Phys. 80, 885-964 (2008).
18. Bakr, W. S., Gillen, J. I., Peng, A., Folling, S.& Greiner, M. A quantumgas microscope for detecting single atoms in a Hubbard-regime optical lattice. Nature 462, 74-77 (2009).
19. Sherson, J. F. et al. Single-atom resolved fluorescence imaging of an atomic Mott insulator. Nature 467, 68-72 (2010).
20. 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).
21. 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).
22. Kühner, T. D., White, S. R. & Monien, H. One-dimensional Bose-Hubbard model with nearest neighbor interaction. Phys. Rev. B 61, 12474-12489 (2000).
23. Endres, M. et al. Observation of correlated particle-hole pairs and string order in low-dimensional Mott insulators. Science 334, 200-203 (2011).
24. Daley, A. J., Kollath, C., Schollwöck, U. & Vidal, G. Time-dependent density-matrix renormalization-group using adaptive effective Hilbert spaces. J. Stat. Mech. P04005 (2004).
25. White, S. R. & Feiguin, A. E. Real-time evolution using the density matrix renormalization group. Phys. Rev. Lett. 93, 076401 (2004).
26. Kollath, C., Schollwöck, U., von Delft, J. & Zwerger, W. One-dimensional density waves of ultracold bosons in an optical lattice. Phys. Rev. A 71, 053606 (2005).
27. Kibble, T. W. B. Topology of cosmic domains and strings. J. Phys. Math. Gen. 9, 1387-1398 (1976).
28. Zurek, W. H. Cosmological experiments in superfluid helium? Nature 317, 505-508 (1985).
29. Schollwöck, U. The density-matrix renormalization group in the age of matrix product states. Ann. Phys. 326, 96-192 (2011).
30. Vidal, G. Classical simulation of infinite-size quantumlattice systemsin one spatial dimension. Phys. Rev. Lett. 98, 070201 (2007).