dr. sujit sarkar poornaprajna institute of scientific research, bangalore-560 080 acknowledgement:...
TRANSCRIPT
Dr. Sujit SarkarPoornaprajna Institute of Scientific Research,
Bangalore-560 080
Acknowledgement: Raman Research Institute Library
And CCMT of Phys. Dept of IISc Bangalore
Emergent Majorana Fermion in Cavity QED Lattice
Out 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.
Majorana Fermion?
Majorana 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?
Majorana Fermion in Superconductor
Motivation:
(1). Interesting Experimental Findings.
(2). Application of Quantum Many Body Physics andQuantum Field Theoretical Aspects in Cavity QED.
Light Crystallization:
Reference: Matrin B Plenio et al.
(1). Laser and Photonics Reviews, August 19, 2008.
(2). Phys. Rev. Lett 99, 103601 (2007).
(3). Phys. Rev. Lett 99, 160501 (2007).
(4). Nature Physics 2, 849 (2006).
Effective Spin Model
o0
Luttinger Liquid Physics Intrinsic in Cavity QED Lattice
Cavity QED Lattice Physics in XY Model
Conclusions:(1). We express cavity QED lattice system in integrablequantum 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 frequencyoscillations and coupling strengths where the physics ofTransverse Ising model and anisotropic XY model are the same.
Thank You