Non-local propagation of correlations in quantum systems with long-range interactions

Nature

Volumn 511, Issue 7508, 2014, Pages 198-201

  Richerme, Philip ^a   Gong, Zhe Xuan ^a   Lee, Aaron ^a   Senko, Crystal ^a   Smith, Jacob ^a   Foss Feig, Michael ^a   Michalakis, Spyridon ^b   Gorshkov, Alexey V ^a   Monroe, Christopher ^a  

^a UNIVERSITY OF MARYLAND   (United States)

^b CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION; LIGHT EFFECT; LONG RANGE TRANSPORT; MATHEMATICAL ANALYSIS; NUMERICAL MODEL; QUANTUM MECHANICS; TIMESCALE; VELOCITY;

ACCELERATION; ARTICLE; CAMERA; EVOLUTION; FORCE; LIGHT; PRIORITY JOURNAL; QUANTUM THEORY; STRENGTH; TIME; VELOCITY;

EID: 84904173664     PISSN: 00280836     EISSN: 14764687     Source Type: Journal    
DOI: 10.1038/nature13450     Document Type: Article

References (30)

1. Nachtergaele, B., Ogata, Y. & Sims, R. Propagation of correlations in quantum lattice systems. J. Stat. Phys. 124, 1 (2006).
2. Schachenmayer, J., Lanyon, B., Roos, C. & Daley, A. Entanglement growth in quench dynamics with variable range interactions. Phys. Rev. X 3, 031015 (2013).
3. Hauke, P. & Tagliacozzo, L. Spread of correlations in long-range interacting quantum systems. Phys. Rev. Lett. 111, 207202 (2013).
4. Hazzard, K. R. A., Manmana, S. R., Foss-Feig, M. & Rey, A. M. Far-from-equilibrium quantummagnetismwith ultracold polarmolecules. Phys. Rev. Lett. 110, 075301 (2013).
5. Eisert, J., Cramer, M. & Plenio, M. Area laws for the entanglement entropy. Rev. Mod. Phys. 82, 277 (2010).
6. Lieb, E. & Robinson, D. The finite group velocity of quantum spin systems. Commun. Math. Phys. 28, 251-257 (1972).
7. Hastings, M. & Koma, T. Spectral gap and exponential decay of correlations. Commun. Math. Phys. 265, 781-804 (2006).
8. 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).
9. Nachtergaele, B. & Sims, R. Lieb-Robinson bound and the exponential clustering theorem. Commun. Math. Phys. 265, 119-130 (2006).
10. Hastings, M. An area law for one-dimensional quantum systems. J. Stat. Mech. 2007, P08024 (2007).
11. Michalakis, S. Stability of the area law for the entropy of entanglement. Preprint at http://arxiv.org/abs/1206.6900 (2012).
12. Rigol, M., Dunjko, V., Yurovsky, V. & Olshanii, M. Relaxation in a completely integrable many-body quantum system: an ab initio study of the dynamics of the highly excited states of 1D lattice hard-core bosons. Phys. Rev. Lett. 98, 050405 (2007).
13. Calabrese, P. & Cardy, J. Time dependence of correlation functions following a quantum quench. Phys. Rev. Lett. 96, 136801 (2006).
14. Gong, Z. -X. & Duan, L. -M. Prethermalization and dynamic phase transition in an isolated trapped ion spin chain. New J. Phys. 15, 113051 (2013).
15. Bose, S. Quantum communication through spin chain dynamics: an introductory overview. Contemp. Phys. 48, 13-30 (2007).
16. Cheneau, M. et al. Light-cone-like spreading of correlations in a quantum many-body system. Nature 481, 484-487 (2012).
17. Eisert, J., van den Worm, M., Manmana, S. & Kastner, M. Breakdown of quasi-locality in long-range quantumlattice models. Phys. Rev. Lett. 111, 260401 (2013).
18. van denWorm, M., Sawyer, B., Bollinger, J. & Kastner, M. Relaxation timescales and decay of correlations in a long-range interacting quantum simulator. New J. Phys. 15, 083007 (2013).
19. Jünemann, J., Cadarso, A., Perez-Garcia, D., Bermudez, A. & Garcia-Ripoll, J. J. Lieb-Robinson bounds for spin-boson lattice models and trapped ions. Phys. Rev. Lett. 111, 230404 (2013).
20. Gong, Z. -X., Foss-Feig, M., Michalakis, S. & Gorshkov, A. V. Persistence of locality in systems with power-law interactions. Preprint at http://arxiv.org/abs/1401.6174 (2014).
21. Jurcevic, P. et al. Quasiparticle engineering and entanglement propagation in a quantum many-body system. Nature http://dx.doi.org/10.1038/ nature13461 (this issue).
22. Islam, R. et al. Emergence and frustration of magnetic order with variable-range interactions in a trapped ion quantum simulator. Science 340, 583-587 (2013).
23. Richerme, P. et al. Quantum catalysis of magnetic phase transitions in a quantum simulator. Phys. Rev. Lett. 111, 100506 (2013).
24. Olmschenk, S. et al. Manipulation and detection of a trapped Yb1 hyperfine qubit. Phys. Rev. A 76, 052314 (2007).
25. Mølmer, K. & Sørensen, A. Multiparticle entanglement of hot trapped ions. Phys. Rev. Lett. 82, 1835 (1999).
26. Porras, D. & Cirac, J. I. Effective quantumspin systemswith trapped ions. Phys. Rev. Lett. 92, 207901 (2004).
27. Kim, K. et al. Entanglement and tunable spin-spin couplings between trapped ions using multiple transverse modes. Phys. Rev. Lett. 103, 120502 (2009).
28. Foss-Feig, M., Hazzard, K. R. A., Bollinger, J. J. & Rey, A. M. Nonequilibrium dynamics of arbitrary-range ising models with decoherence: an exact analytic solution. Phys. Rev. A 87, 042101 (2013).
29. James, D. F. V. Quantum dynamics of cold trapped ions with application to quantum computation. Appl. Phys. B 66, 181-190 (1998).
30. Wang, C. -C. J. & Freericks, J. K. Intrinsic phonon effects on analog quantum simulators with ultracold trapped ions. Phys. Rev. A 86, 032329 (2012).