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Integer Quantum Hall Efect (lattices)

Integer Quantum Hall Efect (lattices). Integer Quantum Hall Efect (lattices). Dirac physics in non-Abelian gauge fields. Why Dirac physics is generic in non-Abelian gauge fields?. In 2D square lattice SU(2) gauge fields include spin-orbit, Rashba and Dresselhaus couplings, and more….

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Integer Quantum Hall Efect (lattices)

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  1. Integer Quantum Hall Efect (lattices)

  2. Integer Quantum Hall Efect (lattices)

  3. Dirac physics in non-Abelian gauge fields

  4. Why Dirac physics is generic in non-Abelian gauge fields? In 2D square lattice SU(2) gauge fields include spin-orbit, Rashba and Dresselhaus couplings, and more… Compare Arindam Ghosh!

  5. Proposal Mazza-Rizzi (non-Abelian) Ux , Uy , Uz = “anything you want” Emerging Bosons with Three-Body Interactions from Spin-1 Atoms in Optical Lattices, L. Mazza, M. Rizzi, M. Lewenstein, J.I. Cirac, Phys. Rev. A 82, 043629 (2010); An Optical-Lattice-Based Quantum Simulator For Relativistic Field Theories and Topological Insulators,L. Mazza, A. Bermudez, N. Goldman, M. Rizzi, M.A. Martin- -Delgado, M. Lewenstein, arXiv:1105.0932, New J. Phys. 14, 015007 (2012)

  6. A Toolbox for Topological Insulators An Optical-Lattice-Based Quantum Simulator for Relativistic Field Theories and Topological Insulators, L. Mazza, A. Bermudez, N. Goldman, M. Rizzi, M.-A. Martin-Delgado, M. Lewenstein, pending in NJP, arXiv:1105.0932, New J. Phys. 14, 015007 (2012)

  7. Proposals, looking at properties Z. Lan, A. Celi, W. Lu, P. Öhberg, and M. Lewenstein, Tunable multiple layered Dirac cones in optical lattices, Phys. Rev. Lett. 107, 253001 (2011), arXiv:1108.1326.

  8. Proposals, looking at properties

  9. Simulating external gauge fields and Dirac points • Dynamically (lattice shakin’) induced gauge fields

  10. Proposals, looking at properties

  11. Proposals, looking at properties

  12. Simulating lattice gauge theories (dynamical Abelian fields) • Rydberg atoms, digital open systems simulators

  13. Simulating lattice gauge theories (dynamical gauge fields) Nature Phys. 6, 382-388 (2010)

  14. Simulating lattice gauge theories (dynamical gauge fields)

  15. Simulating lattice gauge theories (dynamical gauge fields)

  16. Simulating lattice gauge theories (dynamical gauge fields)

  17. Simulating lattice gauge theories (dynamical gauge fields) GAUGEMANGET STANDARD LGT

  18. Simulating lattice gauge theories (dynamical gauge fields) GAUGEMANGET STANDARD LGT

  19. Simulating lattice gauge theories (dynamical gauge fields) Charge Confinement

  20. Simulating lattice gauge theories (dynamical gauge fields) SINGLE SITE ADDRESSING SUFFICIENTLY COLD and FAST

  21. Simulating lattice gauge theories (non-Abelian SU(2) case) arXiv:1211.2704, see also: D. Banerjee, M. Dalmonte, M. Müller, E. Rico, P. Stebler , U.-J. Wiese and P. Zoller,arXiv:1211.2242; E. Zohar, J.I.Cirac and B. Reznik, arXiv:1211.2241= "arXiv:1211.2242"

  22. Quantum simulators Ultracold atoms in optical lattices: Simulating quantum many-body physics M. Lewenstein, A. Sanpera, V. Ahufinger, Oxford University Press (2012)

  23. Thank You!!!!

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