Presentation on theme: "Emergent Majorana Fermion in Cavity QED Lattice"— Presentation transcript:
1Emergent Majorana Fermion in Cavity QED Lattice Dr. Sujit SarkarPoornaprajna Institute of Scientific Research, BangaloreAcknowledgement: Raman Research Institute LibraryAndCCMT of Phys. Dept of IISc Bangalore
2Out Line of the Talk:(1). What is Majorana Fermion? (2). What is Optical Cavity QED? (3). Motivation. (4). Interesting Experiments. (5). Model Hamiltonians. (6). Results and Discussions. (7). Conclusions.
4Majorana Fermions in Quantum Condensed Matter System (1). QH system with filling fraction 5/2.(2). Kitaev: Majorana Fermions modes in onedimensional model.(3). Edge state of 1D system: Electrostatic defect linesin superconductor and quasi one dimensional superconductor.(4). Cold atoms trapped in one-dimension.(5). Topological quantum computation.What is about Cavity QED?
23Reference: Matrin B Plenio et al. (1) Reference: Matrin B Plenio et al. (1). Laser and Photonics Reviews, August 19, (2). Phys. Rev. Lett 99, (2007). (3). Phys. Rev. Lett 99, (2007). (4). Nature Physics 2, 849 (2006).
46Conclusions:(1). We express cavity QED lattice system in integrable quantum spin system. (2). Elementary excitation of the cavity QED lattice is the Majorana fermions. (3). We have derived the Dirac equation for the cavity QED lattice and the condition for the massless excitations. (4). We have derived the condition in terms of Rabi frequency oscillations and coupling strengths where the physics of Transverse Ising model and anisotropic XY model are the same.