Non-reciprocal phase shift induced by an effective magnetic flux for light

Nature Photonics

Volumn 8, Issue 9, 2014, Pages 701-705

  Tzuang, Lawrence D ^a   Fang, Kejie ^b,c   Nussenzveig, Paulo ^a,d   Fan, Shanhui ^b   Lipson, Michal ^a  

^a School of Operations Research and Industrial Engineering   (United States)

^b Stanford University   (United States)

^c California Institute of Technology   (United States)

^d UNIVERSITY OF SÃO PAULO   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EXPERIMENTS; INTERFEROMETERS; MAGNETIC FIELDS; MAGNETIC FLUX; MONOLITHIC INTEGRATED CIRCUITS; PHASE SHIFT; PHASE SHIFTERS; PHOTONS; PROBES;

ATOMIC STATE; EXTINCTION RATIOS; MAGNETO-OPTICAL MATERIALS; MONOLITHICALLY INTEGRATED; NEUTRAL PARTICLES; ON CHIPS; PHOTONIC STATE; SILICON-BASED;

LIGHT;

EID: 84906849460     PISSN: 17494885     EISSN: 17494893     Source Type: Journal    
DOI: 10.1038/nphoton.2014.177     Document Type: Article

References (31)

1. Fang, K., Yu, Z. & Fan, S. Photonic Aharonov-Bohm effect based on dynamic modulation. Phys. Rev. Lett. 108, 153901 (2012).
2. Fang, K., Yu, Z. & Fan, S. Realizing effective magnetic field for photons by controlling the phase of dynamic modulation. Nature Photon. 6, 782-787 (2012).
3. Ramsey, N. F. A new molecular beam resonance method. Phys. Rev. 76, 996 (1949).
4. Ramsey, N. F. Molecular Beams (Oxford Univ. Press, 1963).
5. Bordé, C. J. Atomic interferometry with internal state labelling. Phys. Lett. A 140, 10-12 (1989).
6. Ramsey, N. F. Experiments with separated oscillatory fields and hydrogen masers. Rev. Mod. Phys. 62, 541-552 (1990).
7. Dubetsky, B. & Kasevich, M. A. Atom interferometer as a selective sensor of rotation or gravity. Phys. Rev. A 74, 023615 (2006).
8. Shoji, Y., Mizumoto, T., Yokoi, H., Hsieh, I-W. & Osgood, R. M. Jr Magnetooptical isolator with silicon waveguides fabricated by direct bonding. Appl. Phys. Lett. 92, 071117 (2008).
9. Bi, L. et al. On-chip optical isolation in monolithically integrated non-reciprocal optical resonators. Nature Photon. 5, 758-762 (2011).
10. Tien, M.-C., Mizumoto, T., Pintus, P., Kromer, H. & Bowers, J. E. Silicon ring isolators with bonded nonreciprocal magneto-optic garnets. Opt. Express 19, 11740-11745 (2011).
11. Haldane, F. D. M. & Raghu, S. Possible realization of directional optical waveguides in photonic crystals with broken time-reversal symmetry. Phys. Rev. Lett. 100, 013904 (2008).
12. Wang, Z., Chong, Y. D., Joannopoulos, J. D. & Soljai, M. Reflection-free one-way edge modes in a gyromagnetic photonic crystal. Phys. Rev. Lett. 100, 013905 (2008).
13. Raghu, S. & Haldane, F. D. M. Analogs of quantum-Hall-effect edge states in photonic crystals. Phys. Rev. A 78, 033834 (2008).
14. Wang, Z., Chong, Y., Joannopoulos, J. D. & Soljai, M. Observation of unidirectional backscattering-immune topological electromagnetic states. Nature 461, 772-775 (2009).
15. Poo, Y., Wu, R., Lin, Z., Yang, Y. & Chan, C. T. Experimental realization of self-guiding unidirectional electromagnetic edge states. Phys. Rev. Lett. 106, 093903 (2011).
16. Hwang, I. K., Yun, S. H. & Kim, B. Y. All-fiber-optic nonreciprocal modulator. Opt. Lett. 22, 507-509 (1997).
17. Doerr, C. R., Dupuis, N. & Zhang, L. Optical isolator using two tandem phase modulators. Opt. Lett. 36, 4293-4295 (2011).
18. Lira, H., Yu, Z., Fan, S. & Lipson, M. Electrically driven nonreciprocity induced by interband photonic transition on a silicon chip. Phys. Rev. Lett. 109, 033901 (2012).
19. Doerr, C. R., Chen, L. & Vermeulen, D. Silicon photonics broadband modulation-based isolator. Opt. Express 22, 4493-4498 (2014).
20. Aharonov, Y. & Bohm, D. Significance of electromagnetic potentials in the quantum theory. Phys. Rev. 115, 485-491 (1959).
21. Fang, K., Yu, Z. & Fan, S. Experimental demonstration of a photonic Aharonov- Bohm effect at radio frequencies. Phys. Rev. B 87, 060301(R) (2013).
22. Soref, R. & Bennett, B. R. Electrooptical effects in silicon. IEEE J. Quantum Electron. 23, 123-129 (1987).
23. Gardes, F. Y. et al. High-speed modulation of a compact silicon ring resonator based on a reverse-biased pn diode. Opt. Express 17, 21986-21991 (2009).
24. Spector, S. J. et al. Operation and optimization of silicon-diode-based optical modulators. IEEE J. Sel. Top. Quantum Electron. 16, 165-172 (2010).
25. Hafezi, M., Demler, E. A., Lukin, M. D. & Taylor, J. M. Robust optical delay lines with topological protection. Nature Phys. 7, 907-912 (2011).
26. Umucalilar, R. O. & Carusotto, I. Artificial gauge field for photons in coupled cavity arrays. Phys. Rev. A 84, 043804 (2011).
27. Rechtsman, M. C. et al. Photonic Floquet topological insulators. Nature 496, 196-200 (2013).
28. Khanikaev, A. B. et al. Photonic topological insulators. Nature Mater. 12, 233-239 (2013).
29. Liang, G. Q. & Chong, Y. D. Optical resonator analog of a two-dimensional topological insulator. Phys. Rev. Lett. 110, 203904 (2013).
30. Longhi, S. Effective magnetic fields for photons in waveguide and coupled resonator lattices. Opt. Lett. 38, 3570-3573 (2013).
31. Hafezi, M., Mittal, S., Fan, J., Migdall, A. & Taylor, J. M. Imaging topological edge states in silicon photonics. Nature Photon. 7, 1001-1005 (2013).