Photonic Structures with Topological Robustness: from Classical to Quantum

By Mohammad Hafezi

Electrical and Computer Engineering, University of Maryland, College Park, MD

Published on

Abstract

One of the promising applications of quantum computers is quantum simulation --- the ability to simulate quantum dynamics on an engineerable physical system. Such simulators allow us to investigate models that are practically impossible to study on a classical computer. For example, there are tremendous efforts underway to better understand systems with topological order --- global properties that are not discernible locally. The best known examples are quantum Hall effects in electronic system, where insensitivity to local properties manifests itself as conductance through edge states that is insensitive to defects and disorder.

In this talk, I demonstrate how similar physics can be observed for photons; specifically, how various quantum Hall Hamiltonians can be simulated in an optical platform. I report on the first observation of topological photonic edge state using silicon-on-insulator technology and our recent advance in studying quantum transport of such topological photonic structures. Furthermore, the addition of optical nonlinearity to this system provides a platform to implement fractional quantum Hall states of photons and anyonic states that have not yet been observed. More generally, the application of these ideas can lead to development of optical devices with topological protection for classical and quantum information processing.

Bio

Mohammad Hafezi Mohammad Hafezi is an Assistant Professor of Electrical and Computer Engineering at the University of Maryland (UMD), and a fellow at the Joint Quantum Institute (NIST-UMD) and IREAP. He received his diploma from Ecole Polytechnique, France, in 2003. After obtaining his Ph.D. from the Physics department at Harvard University, he moved to the Joint Quantum Institute as a postdoc in 2009. His research is at the interface of theoretical and experimental quantum optics and condensed-matter physics with a focus on fundamental physics and applications in quantum information science, precision measurement, and integrated photonics. His recent awards include the Sloan Research Fellowship and the Young Investor award of the Office of Naval Research.

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Cite this work

Researchers should cite this work as follows:

  • Mohammad Hafezi (2017), "Photonic Structures with Topological Robustness: from Classical to Quantum," http://nanohub.org/resources/25558.

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Time

Location

Physics, Room 203, Purdue University, West Lafayette, IN

Tags

Photonic Structures with Topological Robustness: from Classical to Quantum
  • Photonic structures with topological robustness: from classical to quantum 1. Photonic structures with topol… 0
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  • Quantum Information 2. Quantum Information 72.138805472138813
    00:00/00:00
  • Quantum Simulation 3. Quantum Simulation 145.74574574574575
    00:00/00:00
  • Photonic systems as a platform 4. Photonic systems as a platform 290.52385719052387
    00:00/00:00
  • Outline of this talk 5. Outline of this talk 436.67000333667
    00:00/00:00
  • Building block Photonic Systems 6. Building block Photonic System… 505.0383717050384
    00:00/00:00
  • Coupled Resonator Optical Waveguides (CROW) 7. Coupled Resonator Optical Wave… 600.5338672005339
    00:00/00:00
  • Review: Integer Quantum Hall effect n 8. Review: Integer Quantum Hall e… 829.79646312979651
    00:00/00:00
  • Synthetic Magnetic Field 9. Synthetic Magnetic Field 938.37170503837172
    00:00/00:00
  • Edge states 10. Edge states 1279.2459125792459
    00:00/00:00
  • Experimental realization of the gauge field 11. Experimental realization of th… 1642.7093760427094
    00:00/00:00
  • Observation of topological edge states 12. Observation of topological edg… 1786.8535201868535
    00:00/00:00
  • Topological robustness of edge state 13. Topological robustness of edge… 1878.511845178512
    00:00/00:00
  • Robustness against an introduced disorder 14. Robustness against an introduc… 2043.9105772439107
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  • Recent publications exploring topological properties of light 15. Recent publications exploring … 2095.1284617951287
    00:00/00:00
  • Transport statistics 16. Transport statistics 2160.7607607607611
    00:00/00:00
  • Outline of this talk 17. Outline of this talk 2371.4381047714382
    00:00/00:00
  • Topological invariants with photons 18. Topological invariants with ph… 2386.4864864864867
    00:00/00:00
  • Spectral flow at the edge 19. Spectral flow at the edge 2393.5268601935268
    00:00/00:00
  • Experimental realization 20. Experimental realization 2405.7724391057727
    00:00/00:00
  • Simulated 21. Simulated 2409.7764431097767
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  • Non-chiral edge states 22. Non-chiral edge states 2415.6823490156826
    00:00/00:00
  • Vol. 24, No. 14 | 11 Jul 2016 | OPTICS EXPRESS 15634 23. Vol. 24, No. 14 | 11 Jul 2016 … 2419.4861528194861
    00:00/00:00
  • Outline of this talk 24. Outline of this talk 2425.9926593259929
    00:00/00:00
  • What about collective excitations? 25. What about collective excitati… 2440.04004004004
    00:00/00:00
  • Fractional Quantum Hall state of light 26. Fractional Quantum Hall state … 2547.1137804471141
    00:00/00:00
  • Interaction between photons 27. Interaction between photons 2651.9519519519522
    00:00/00:00
  • Fractional Quantum Hall state of light 28. Fractional Quantum Hall state … 2772.7060393727061
    00:00/00:00
  • Non-equilibrium photonic system 29. Non-equilibrium photonic syste… 2901.3680347013683
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  • What about photon loss? 30. What about photon loss? 2955.221888555222
    00:00/00:00
  • Three-body interaction and Pfaffian states 31. Three-body interaction and Pfa… 3074.7747747747749
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  • Outline of this talk 32. Outline of this talk 3152.1855188521859
    00:00/00:00
  • Topological photonic crystals 33. Topological photonic crystals 3190.8241574908243
    00:00/00:00
  • ike character. 34. ike character. 3220.7874541207875
    00:00/00:00
  • Band inversion: numerical simulation 35. Band inversion: numerical simu… 3222.8561895228563
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  • helical/chiral topological edge states 36. helical/chiral topological edg… 3225.3586920253588
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  • Bulk 37. Bulk 3231.031031031031
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  • Given a quantum simulator 38. Given a quantum simulator 3246.5131798465131
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  • Acknowledgements 39. Acknowledgements 3400.1001001001
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