integer quantum hall efect (lattices)
DESCRIPTION
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…. - PowerPoint PPT PresentationTRANSCRIPT
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…
Compare Arindam Ghosh!
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
andTopological Insulators, L. Mazza, A. Bermudez, N. Goldman, M. Rizzi, M.A.
Martin--Delgado, M. Lewenstein, arXiv:1105.0932, New J. Phys. 14, 015007 (2012)
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)
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Proposals, looking at properties
Proposals, looking at properties
Simulating external gauge fields and Dirac points
Dynamically (lattice shakin’) induced gauge fields
PROPOSALS PHYSICS
Eckert et al. (2010) (triangular lattice)
Struck et al. (2011)
Hauke et al. (2012)
Classical frustrated antiferomagnetism
Quantum frustrated antiferromagnetism, spin liquidsTopological insulators
Proposals, looking at properties
Proposals, looking at properties
Simulating lattice gauge theories (dynamical Abelian fields)
Rydberg atoms, digital open systems simulators
PROPOSALS PHYSICS
Weimer et al. (2010)
Banerjee et al. (2012)
Zohar et al. (2012)
Tagliacozzo et al. (2012)
Z2 Kogut-Susskind, U(1)
U(1) “quantum link” with matter, but 1+1DZM ~ U(1) with matter in 2+1D
U(1) “gauge magnet”
Simulating lattice gauge theories (dynamical gauge fields)
Nature Phys. 6, 382-388 (2010)
Simulating lattice gauge theories (dynamical gauge fields)
Simulating lattice gauge theories (dynamical gauge fields)
Simulating lattice gauge theories (dynamical gauge fields)
Simulating lattice gauge theories (dynamical gauge fields)
GAUGEMANGET
STANDARD LGT
Simulating lattice gauge theories (dynamical gauge fields)
GAUGEMANGETSTANDARD
LGT
Simulating lattice gauge theories (dynamical gauge fields)
Charge Confinement
Simulating lattice gauge theories (dynamical gauge fields)
SINGLE SITE ADDRESSING
SUFFICIENTLY COLD and FAST
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"
Ultracold atoms in optical lattices: Simulating quantum many-body physicsM. Lewenstein, A. Sanpera, V. Ahufinger, Oxford University Press (2012)
Quantum simulators
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