Diabolical points in multi-scatterer optomechanical systems

Scientific Reports

Volumn 5, Issue , 2015, Pages

  Chesi, Stefano ^a   Wang, Ying Dan ^b   Twamley, Jason ^c  

^a BEIJING COMPUTATIONAL SCIENCE RESEARCH CENTER   (China)

^b INSTITUTE OF THEORETICAL PHYSICS   (China)

^c MACQUARIE UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84922681589     PISSN: None     EISSN: 20452322     Source Type: Journal    
DOI: 10.1038/srep07816     Document Type: Article

References (45)

1. von Neumann, J. & Wigner, E. P.Ü ber das Verhalten von Eigenwerten bei adiabatischen Prozessen. Phys. Z. 30, 467-470 (1929).
2. Teller, E. J. The Crossing of Potential Surfaces. J. Phys. Chem. 41, 109-116 (1937).
3. Hamilton, W. R. Third Supplement to an Essay on the Theory of Systems of Rays. Trans. R. Irish Acad. 17, 1-144 (1831).
4. Berry, M. V. &Wilkinson, M. Diabolical points in the spectra of triangles. Proc. R. Soc. London, Ser. A 392, 15-43 (1984).
5. Berry, M. V. Quantal Phase Factors Accompanying Adiabatic Changes. Proc. R. Soc. London, Ser. A 392, 45-57 (1984).
6. Ericsson, M. Geometric and Topological Phases with Applications to Quantum Computation, Ph.D. thesis, Uppsala University (2002).
7. Yarkony, D. R. Diabolical conical intersections. Rev. Mod. Phys. 68, 985-1013 (1996).
8. Berry, M. V. Conical diffraction asymptotics: fine structure of Poggendorff rings and axial spike. J. Opt. A-Pure Appl. Op. 6, 289-300 (2004).
9. Berry, M. V. &Jeffrey, M. R. Conical diffraction:Hamilton's diabolical point at the heart of crystal optics. Prog. Optics 50, 13-50 (2007).
10. Mead, C. A. & Truhlar, D. G. On the determination of Born-Oppenheimer nuclear motion wave functions including complications due to conical intersections and identical nuclei. J. Chem. Phys. 70, 2284 (1979).
11. Cederbaum, L. S., Friedman, R. S., Ryaboy, V. M. & Moiseyev, N. Conical Intersections and Bound Molecular States Embedded in the Continuum. Phys. Rev. Lett. 90, 013001 (2003).
12. Wüster, S., Eisfeld, A. & Rost, J. M. Conical intersections in an ultracold gas. Phys. Rev. Lett. 106, 153002 (2011).
13. Zhang, M., Hung, H.-h., Zhang, C. &Wu, C. Quantum anomalous Hall states in the p-orbital honeycomb optical lattices. Phys. Rev. A 83, 023615 (2011).
14. Tarruell, L.,Greif, D.,Uehlinger, T., Jotzu, G.&Esslinger, T. Creating,moving and merging Dirac points with a Fermi gas in a tunable honeycomb lattice. Nature 483, 302-305 (2013).
15. Peleg, O. et al. Conical Diffraction and Gap Solitons in Honeycomb Photonic Lattices. Phys. Rev. Lett. 98, 103901 (2007).
16. Bahat-Treidel, O. O., Peleg, O. O. & Segev, M. M. Symmetry breaking in honeycomb photonic lattices. Opt. Lett. 33, 2251-2253 (2008).
17. Rechtsman, M. C. et al. Topological Creation and Destruction of Edge States in Photonic Graphene. Phys. Rev. Lett. 111, 103901 (2013).
18. Novoselov, K. S. et al. Two-dimensional gas of massless Dirac fermions in graphene. Nature 438, 197-200 (2005).
19. Zhang, Y., Tan, Y.-W., Stormer, H. L. & Kim, P. Experimental observation of the quantum Hall effect and Berry's phase in graphene. Nature 438, 201-204 (2005).
20. Geim, A. K. & Novoselov, K. S. The rise of graphene. Nat. Mater. 6, 183-191 (2007).
21. Rechtsman, M. C. et al. Photonic Floquet topological insulators. Nature 496, 196-200 (2014).
22. Lu, H.-Z. & Shen, S.-Q. Finite-Temperature Conductivity and Magnetoconductivity of Topological Insulators. Phys. Rev. Lett. 112, 146601 (2014).
23. Arbabi, A., Kang, Y. M., Lu, C.-Y., Chow, E. & Goddard, L. L. Realization of a narrowband single wavelength microring mirror. Appl. Phys. Lett. 99, 091105 (2011).
24. Anetsberger, G. et al. Near-field cavity optomechanics with nanomechanical oscillators. Nat. Phys. 5, 909-914 (2009).
25. Zhu, J.,Ö zdemir, Ş. K., He, L. & Yang, L. Controlled manipulation of mode splitting in an optical microcavity by two Rayleigh scatterers. Opt. Express 18, 23535-23543 (2010).
26. Botter, T., Brooks, D. W. C., Schreppler, S., Brahms, N. & Stamper-Kurn, D. M. Optical Readout of the Quantum Collective Motion of an Array of Atomic Ensembles. Phys. Rev. Lett. 110, 153001 (2013).
27. Sankey, J. C., Jayich, A. M., Zwickl, B. M., Yang, C. & Harris, J. G. E. Improved "Position Squared" Readout Using Degenerate Cavity Modes. Paper presented at the XXI International Conference on Atomic Physics, Storrs, CT, USA. Proceedings edited by R. Cote, P. L. Gould, and M. Rozman (World Scientific, Singapore, 2009).
28. Wiersig, J. Structure of whispering-gallery modes in optical microdisks perturbed by nanoparticles. Phys. Rev. A 84, 063828 (2011).
29. Wiersig, J. Enhancing the sensitivity of frequency and energy splitting detection by using exceptional points: Application to microcavity sensors for single-particle detection. Phys. Rev. Lett. 112, 203901 (2014).
30. Bychkov, Y. A.&Rashba, E. I. Oscillatory effects and themagnetic susceptibility of carriers in inversion layers. J. Phys. C 17, 6039 (1984).
31. Dresselhaus, G. Spin-Orbit Coupling Effects in Zinc Blende Structures. Phys. Rev. 100, 580 (1955).
32. Xuereb, A., Genes, C. & Dantan, A. Strong Coupling and Long-Range Collective Interactions in Optomechanical Arrays. Phys. Rev. Lett. 109, 223601 (2012).
33. Arbabi, A., Kang, Y. M., Lu, C.-Y., Chow, E. & Goddard, L. L. Realization of a narrowband single wavelength microring mirror. Appl. Phys. Lett. 99, 091105 (2011).
34. Xuereb, A., Genes, C. & Dantan, A. Collectively enhanced optomechanical coupling in periodic arrays of scatterers. Phys. Rev. A 88, 053803 (2013).
35. Law, C. K. Effective hamiltonian for the radiation in a cavity with amovingmirror and a time-varying dielectric medium. Phys. Rev. A 49, 433-437 (1994).
36. Law, C. K. Interaction between a moving mirror and radiation pressure: A hamiltonian formulation. Phys. Rev. A 51, 2537-2541 (1995).
37. Voskoboynikov, O., Lee, C. P. & Tretyak, O. Spin-orbit splitting in semiconductor quantum dots with a parabolic confinement potential. Phys. Rev. B 63, 165306 (2001).
38. Aleiner, I. L. & Fal'ko, V. I. Spin-orbit coupling effects on quantum transport in lateral semiconductor dots. Phys. Rev. Lett. 87, 256801 (2001).
39. Marchukov, O. V., Volosniev, A. G., Fedorov, D. V., Jensen, A. S. & Zinner, N. T. Spectral gaps of spin-orbit coupled particles in deformed traps. J. Phys. B-At.Mol. Opt. 46, 134012 (2013).
40. Khosla, K. E., Vanner, M. R., Bowen, W. P. & Milburn, G. J. Quantum state preparation of amechanical resonator using an optomechanical geometric phase. New J. Phys. 15, 043025 (2013).
41. Galitski, V. & Spielman, I. B. Spin-orbit coupling in quantum gases. Nature 494, 49 (2013).
42. Lan, Z. & hberg, P. Raman-dressed spin-1 spin-orbit-coupled quantum gas. Phys. Rev. A 89, 023630 (2014).
43. Teufel, J. D. et al. Sideband cooling of micromechanical motion to the quantum ground state. Nature 475, 359-363 (2011).
44. Blais, A., Huang, R.-S., Wallraff, A., Girvin, S. M. & Schoelkopf, R. J. Cavity quantum electrodynamics for superconducting electrical circuits: An architecture for quantum computation. Phys. Rev. A 69, 062320 (2004).
45. Hofheinz, M. et al. Synthesizing arbitrary quantum states in a superconducting resonator. Nature 459, 546-549 (2009).