Optical simulations of gravitational effects in the Newton-Schrödinger system

Nature Physics

Volumn 11, Issue 10, 2015, Pages 872-878

  Bekenstein, Rivka ^a   Schley, Ran ^a   Mutzafi, Maor ^a   Rotschild, Carmel ^a   Segev, Mordechai ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

DYNAMICS; GRAVITATIONAL EFFECTS; RELATIVITY;

COMPLEX NONLINEAR DYNAMICS; GENERAL RELATIVITY; GRAVITATIONAL LENSING; GRAVITATIONAL PHENOMENA; GRAVITATIONAL POTENTIAL; GRAVITATIONAL REDSHIFT; QUANTUM WAVE PACKETS; THERMAL NONLINEARITIES;

WAVE PACKETS;

EID: 84943200489     PISSN: 17452473     EISSN: 17452481     Source Type: Journal    
DOI: 10.1038/nphys3451     Document Type: Article

References (50)

1. Einstein, A. Die Grundlage der allgemeinen Relativitätstheorie. Ann. Phys. 354, 769-822 (1916).
2. Unruh,W. G. Experimental black-hole evaporation? Phys. Rev. Lett. 46, 1351-1353 (1981).
3. Lahav, O. et al. Realization of a sonic black hole analog in a Bose-Einstein condensate. Phys. Rev. Lett. 105, 240401 (2010).
4. Weinfurtner, S., Tedford, E.W., Penrice, M. C. J., Unruh,W. G. & Lawrence, G. A. Measurement of stimulated Hawking emission in an analogue system. Phys. Rev. Lett. 106, 021302 (2011).
5. Leonhardt, U. & Piwnicki, P. Optics of nonuniformly moving media. Phys. Rev. A 60, 4301-4312 (1999).
6. Leonhardt, U. & Piwnicki, P. Relativistic Effects of light in moving media with extremely low group velocity. Phys. Rev. Lett. 84, 822-825 (2000).
7. Smolyaninov, I. I. Surface plasmon toy model of a rotating black hole. New J. Phys. 5, 147 (2003).
8. Philbin, T. G. et al. Fiber-optical analog of the event horizon. Science 319, 1367-1370 (2008).
9. Narimanov, E. E. & Kildishev, A. V. Optical black hole: Broadband omnidirectional light absorber. Appl. Phys. Lett. 95, 041106 (2009).
10. Genov, D. A., Zhang, S. & Zhang, X. Mimicking celestial mechanics in metamaterials. Nature Phys. 5, 687-692 (2009).
11. Sheng, C., Liu, H.,Wang, Y., Zhu, S. N. & Genov, D. A. Trapping light by mimicking gravitational lensing. Nature Photon. 7, 902-906 (2013).
12. Batz, S. & Peschel, U. Linear and nonlinear optics in curved space. Phys. Rev. A 78, 043821 (2008).
13. Schultheiss, V. H. et al. Optics in curved space. Phys. Rev. Lett. 105, 143901 (2010).
14. Bekenstein, R., Nemirovsky, J., Kaminer, I. & Segev, M. Shape-preserving accelerating electromagnetic wave packets in curved space. Phys. Rev. X 4, 011038 (2014).
15. Gorbach, A. V. & Skryabin, D. V. Light trapping in gravity-like potentials and expansion of supercontinuum spectra in photonic-crystal fibres. Nature Photon. 1, 653-657 (2007).
16. Batz, S. & Peschel, U. Solitons in curved space of constant curvature. Phys. Rev. A 81, 053806 (2010).
17. Smolyaninov, I. I. Analog of gravitational force in hyperbolic metamaterials. Phys. Rev. A 88, 033843 (2013).
18. Engheta, N. & Ziolkowski, R.W. Metamaterials: Physics and Engineering Explorations (JohnWiley, 2006).
19. Shalaev, V. M. Optical negative-index metamaterials. Nature Photon. 1, 41-48 (2007).
20. Weinberg, S. Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity (JohnWiley, 1972).
21. Jacobson, T. Thermodynamics of spacetime: The Einstein equation of state. Phys. Rev. Lett. 75, 1260-1263 (1995).
22. Zee, A. Einstein Gravity in a Nutshell (Princeton Univ. Press, 2013).
23. Dabby, F.W. & Whinnery, J. R. Thermal self focusing of lasers beams in lead glasses. Appl. Phys. Lett. 13, 284-286 (1968).
24. Rotschild, C., Cohen, O., Manela, O., Segev, M. & Carmon, T. Solitons in nonlinear media with an infinite range of nonlocality: First observation of coherent elliptic solitons and of vortex-ring solitons. Phys. Rev. Lett. 95, 213904 (2005).
25. Rotschild, C., Alfassi, B., Cohen, O. & Segev, M. Long-range interactions between optical solitons. Nature Phys. 2, 769-774 (2006).
26. Pertsch, T., Dannberg, P., Elflein,W., Bräuer, A. & Lederer, F. Optical Bloch oscillations in temperature tuned waveguide arrays. Phys. Rev. Lett. 83, 4752-4755 (1999).
27. Schwartz, T., Bartal, G., Fishman, S. & Segev, M. Transport and Anderson localization in disordered two-dimensional photonic lattices. Nature 446, 52-55 (2007).
28. Lahini, Y. et al. Anderson localization and nonlinearity in one-dimensional disordered photonic lattices. Phys. Rev. Lett. 100, 013906 (2008).
29. Plotnik, Y. et al. Experimental observation of optical bound states in the continuum. Phys. Rev. Lett. 107, 183901 (2011).
30. Rechtsman, M. C. et al. Photonic Floquet topological insulators. Nature 496, 196-200 (2013).
31. Penrose, R. On gravity's role in quantum state reduction. Gen. Relativ. Gravit. 28, 581-600 (1996).
32. Moroz, I. M., Penrose, R. & Tod, P. Spherically-symmetric solutions of the Schrödinger-Newton equations. Class. Quantum Gravity 15, 2733-2742 (1998).
33. Tod, P. & Moroz, I. M. An analytical approach to the Schrödinger-Newton equations. Nonlinearity 12, 201-216 (1999).
34. Page, D. N. Classical and quantum decay of oscillations: Oscillating self-gravitating real scalar field solitons. Phys. Rev. D 70, 023002 (2004).
35. Guzmán, F. S. & Ureña-López, L. A. Evolution of the Schrödinger-Newton system for a self-gravitating scalar field. Phys. Rev. D 69, 124033 (2004).
36. Diósi, L. Notes on certain Newton gravity mechanisms of wavefunction localization and decoherence. J. Phys. A 40, 2989-2995 (2007).
37. Giulini, D. & Groÿardt, A. Centre-of-mass motion in multi-particle Schrödinger-Newton dynamics. New J. Phys. 16, 075005 (2014).
38. Bahrami, M., Groÿardt, A., Donadi, S. & Bassi, A. The Schrödinger-Newton equation and its foundations. New J. Phys. 16, 115007 (2014).
39. Diósi, L. Gravitation and quantum-mechanical localization of macro-objects. Phys. Lett. A 105, 199-202 (1984).
40. Einstein, A. Time, space, and gravitation. Science 51, 8-10 (1920).
41. Carlip, S. Is quantum gravity necessary? Class. Quantum Gravity 25, 154010 (2008).
42. Berry, M. V. & Balazs, N. L. Nonspreading wave packets. Am. J. Phys. 47, 264-267 (1979).
43. Siviloglou, G. A. & Christodoulides, D. N. Accelerating finite energy Airy beams. Opt. Lett. 32, 979-981 (2007).
44. Siviloglou, G. A., Broky, J., Dogariu, A. & Christodoulides, D. N. Observation of accelerating Airy beams. Phys. Rev. Lett. 99, 213901 (2007).
45. Baumgartl, J., Mazilu, M. & Dholakia, K. Optically mediated particle clearing using Airy wavepackets. Nature Photon. 2, 675-678 (2008).
46. Polynkin, P., Kolesik, M., Moloney, J. V., Siviloglou, G. A. & Christodoulides, D. N. Curved plasma channel generation using ultraintense airy beams. Science 324, 229-232 (2009).
47. Schley, R. et al. Loss-proof self-accelerating beams and their use in non-paraxial manipulation of particles' trajectories. Nature Commun. 5, 5189 (2014).
48. Kaminer, I., Nemirovsky, J., Rechtsman, M., Bekenstein, R. & Segev, M. Self-accelerating Dirac particles and prolonging the lifetime of relativistic fermions. Nature Phys. 11, 261-267 (2015).
49. Bekenstein, R. & Segev, M. Self-accelerating optical beams in highly nonlocal nonlinear media. Opt. Express 19, 23706 (2011).
50. Alfassi, B., Rotschild, C., Manela, O., Segev, M. & Christodoulides, D. N. Boundary force Effects exerted on solitons in highly nonlinear media. Opt. Lett. 32, 154-156 (2007).