Synchronization, quantum correlations and entanglement in oscillator networks

Scientific Reports

Volumn 3, Issue , 2013, Pages

  Manzano, Gonzalo ^a   Galve, Fernando ^a   Giorgi, Gian Luca ^a   Hernández García, Emilio ^a   Zambrini, Roberta ^a  

^a INSTITUTO DE FÍSICA INTERDISCIPLINAR Y SISTEMAS COMPLEJOS IFISC CSIC UIB   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84875193294     PISSN: None     EISSN: 20452322     Source Type: Journal    
DOI: 10.1038/srep01439     Document Type: Article

References (45)

1. Strogatz, S. H. Nonlinear Dynamics And Chaos: With Applications To Physics, Biology, Chemistry, And Engineering (Westview Press, Boulder, 2001).
2. Pikovsky, A., Rosenblum,M.&Kurths, J. Synchronization: A Universal Concept in Nonlinear Sciences (Cambridge Univ. Press, Cambridge, 2001).
3. Arenas, A.,Diaz-Guilera, A., Kurths, J., Moreno, Y.&Zhou, C. Synchronization in complex networks. Phys. Rep. 469, 93-153 (2008).
4. Argyris, A. et al. Chaos-based communications at high bit rates using commercial fibre-optic links. Nature 438, 343-346 (2005). (Pubitemid 41643948)
5. Goychuk, I., Casado-Pascual, J., Morillo, M., Lehmann, J. & Hänggi, P. Quantum stochastic synchronization. Phys. Rev. Lett. 97, 210601 (2006).
6. Zhirov, O. V. & Shepelyansky, D. L. Synchronization and Bistability of a Qubit Coupled to a Driven Dissipative Oscillator. Phys. Rev. Lett. 100, 014101 (2008).
7. Shim, S. B., Imboden, M. & Mohanty, P. Synchronized Oscillation in Coupled Nanomechanical Oscillators. Science 316, 95-99 (2007). (Pubitemid 46559525)
8. Heinrich, G., Ludwig, M., Qian, J., Kubala, B. & Marquardt, F. Collective Dynamics in Optomechanical Arrays. Phys. Rev. Lett. 107, 043603 (2011).
9. Holmes, C. A., Meaney, C. P. & Milburn, G. J. Synchronization of many nanomechanical resonators coupled via a common cavity field. Phys. Rev. E 85, 066203 (2012).
10. Zhang, M. et al. Synchronization of Micromechanical Oscillators Using Light. Phys. Rev. Lett. 109, 233906 (2012).
11. Raimond, J. M., Brune, M. &Haroche, S. Reversible Decoherence of aMesoscopic Superposition of Field States. Phys. Rev. Lett. 79, 1964-1967 (1997). (Pubitemid 127644824)
12. Bayindir, M., Temelkuran, B. & Ozbay, E. Tight-Binding Description of the Coupled Defect Modes in Three-Dimensional Photonic Crystals. Phys. Rev. Lett. 84, 2140-2143 (2000).
13. Mariantoni, M. et al. Photon shell game in three-resonator circuit quantum electrodynamics. Nat. Phys. 7, 287-293 (2011).
14. Brown, K. R. et al.Coupled quantized mechanical oscillators. Nature 471, 196-199 (2011).
15. Harlander, M., Lechner, R., Brownnutt, M., Blatt, R. & Hänsel, W. Trapped-ion antennae for the transmission of quantuminformation. Nature 471, 200-203 (2011).
16. Eisert, J., Plenio, M. B., Bose, S. & Hartley, J. Towards Quantum Entanglement in Nanoelectromechanical Devices. Phys. Rev. Lett. 93, 190402 (2004).
17. Gauger, E. M., Rieper, E., Morton, J. J. L., Benjamin, S. C. & Vedral, V. Sustained Quantum Coherence and Entanglement in the Avian Compass. Phys. Rev. Lett. 106, 040503 (2011).
18. Panitchayangkoon, G. et al. Direct evidence of quantum transport in photosynthetic light-harvesting complexes. Proc. Natl. Acad. Sci. USA 108, 20908-20912 (2011).
19. Engel, G. S. et al. Evidence for wavelike energy transfer through quantum coherence in photosynthetic systems. Nature 446, 782-786 (2007). (Pubitemid 46582029)
20. Giorgi, G. L., Galve, F., Manzano, G., Colet, P. & Zambrini, R. Quantum correlations and mutual synchronization. Phys. Rev. A 85, 052101 (2012).
21. Rayleigh, J. The Theory of Sound (Dover Publishers, New York, 1945).
22. Adhikar, I. S. in Damping Models for Structural Vibration, PhD. thesis, Cambridge Univ. Engineering Department (2000); Bottega, W. J. Engineering Vibrations (Taylor & Francis, 2006).
23. Lidar, D. A. & Whaley, K. B. in Irreversible Quantum Dynamics (eds Benatti, F. & Floreanini, R.) 83-120 (Springer Lecture Notes in Physics, Berlin, 2003).
24. Diehl, S. et al. Quantum states and phases in driven open quantum systems with cold atoms. Nat. Phys. 4, 878-883 (2008).
25. Barreiro, J. T. et al. Experimental multiparticle entanglement dynamics induced by decoherence. Nat. Phys. 6, 943-946 (2010).
26. Verstraete, F., Wolf, M. M. & Cirac, J. I. Quantum computation and quantumstate engineering driven by dissipation. Nat. Phys. 5, 633-636 (2009).
27. Barreiro, J. T. et al. An open-system quantum simulator with trapped ions. Nature 470, 486-491 (2011).
28. Weiss, U. Quantum Dissipative Systems (World Scientific Publishing Company, Singapore, 3rd Ed, 2008).
29. Schlosshauer, M. Decoherence and the Quantum-to-Classical Transition (Springer, Berlin, 2007).
30. Gardiner, C. & Zoller, P. Quantum Noise (Springer, Berlin, 3rd Ed., 2004).
31. Viola, L. et al. Experimental Realization of Noiseless Subsystems for Quantum Information Processing. Science 293, 2059-2063 (2001). (Pubitemid 32848049)
32. Zell, T., Queisser, F. & Klesse, R. Distance Dependence of Entanglement Generation via a Bosonic Heat Bath. Phys. Rev. Lett. 102, 160501 (2009).
33. Paz, J. P. & Roncaglia, A. J. Dynamics of the Entanglement between Two Oscillators in the Same Environment. Phys. Rev. Lett. 100, 220401 (2008).
34. Liu, K. L. & Goan, H. S. Non-Markovian entanglement dynamics of quantum continuous variable systems in thermal environments. Phys. Rev. A 76, 022312 (2007).
35. Galve, F., Giorgi, G. L. & Zambrini, R. Entanglement dynamics of nonidentical oscillators under decohering environments. Phys. Rev. A 81, 062117 (2010).
36. Caldeira, A. O. & Leggett, A. J. Influence of damping on quantum interference: an exactly soluble model. Phys. Rev. A 31, 1059 (1985).
37. Sanchez-Palencia, L. & Lewenstein, M. Disordered quantum gases under control. Nat. Phys. 6, 87-95 (2010) and references therein.
38. Galve, F., Pachon, L. A. & Zueco, D. Bringing Entanglement to the High Temperature Limit. Phys. Rev. Lett. 105, 180501 (2010).
39. Kimble, H. J. The quantum internet. Nature 453, 1023-1030 (2008). (Pubitemid 351871745)
40. Ritter, S. et al. An elementary quantum network of single atoms in optical cavities. Nature 484, 195-200 (2008).
41. Kim, M. et al. Maximal energy transport through disordered media with the implementation of transmission eigenchannels. Nat. Photonics 6, 583-587 (2012).
42. Zurek, W. H. Einselection and Decoherence from information theory perspective. Annalen der Physik 9, 855 (2000).
43. Ollivier, H. & Zurek, W. H. Quantum Discord: AMeasure of the Quantumness of Correlations. Phys. Rev. Lett. 88, 017901 (2001).
44. Henderson, L. & Vedral, V. Classical, quantum and total correlations. J. Phys. A Math. Gen. 34, 6899-6905 (2001).
45. Horodecki, R., Horodecki, P., Horodecki, M. & Horodecki, K. Quantum entanglement. Rev. Mod. Phys. 81, 865-942 (2009).