Download presentation

Presentation is loading. Please wait.

Published byLesley Grissom Modified about 1 year ago

1
Dr. Sujit Sarkar Poornaprajna Institute of Scientific Research, Bangalore Acknowledgement: Raman Research Institute Library And CCMT of Phys. Dept of IISc Bangalore Emergent Majorana Fermion in Cavity QED Lattice

2
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.

3
Majorana Fermion?

4
Majorana Fermions in Quantum Condensed Matter System (1). QH system with filling fraction 5/2. (2). Kitaev: Majorana Fermions modes in one dimensional model. (3). Edge state of 1D system: Electrostatic defect lines in superconductor and quasi one dimensional superconductor. (4). Cold atoms trapped in one-dimension. (5). Topological quantum computation. What is about Cavity QED?

5

6
Majorana Fermion in Superconductor

7

8

9

10

11

12

13

14

15

16

17

18

19
Motivation: (1). Interesting Experimental Findings. (2). Application of Quantum Many Body Physics and Quantum Field Theoretical Aspects in Cavity QED.

20
Light Crystallization:

21

22

23
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).

24
Effective Spin Model

25
o0

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41
Luttinger Liquid Physics Intrinsic in Cavity QED Lattice

42

43

44
Cavity QED Lattice Physics in XY Model

45

46
Conclusions: (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.

47
Thank You

Similar presentations

© 2016 SlidePlayer.com Inc.

All rights reserved.

Ads by Google