1. Entanglement of Movable Mirrors in a Correlated Emission Laser1 2
Wenchao Ge, Hyunchul Nha, and M. S Zubairy
Institute for Quantum Science and Engineering, Texas A&M University, College Station
Texas A&M University at Qatar, Education City, P.O. Box 23874, Doha, Qatar 1 1 2

2. Contents Motivation Radiation Pressure Coupling
Correlated Emission Laser
Entangling Movable Mirrors
Further Research
References

3. Motivation

4. Radiation Pressure Coupling
Entanglement generation
Laser cooling
Optomechanical devices
Optomechanically induced transparency
Nonlinear effects

5. Radiation Pressure Coupling

6. Radiation Pressure Coupling
small nonlinear term
beam-splitter process
down conversion process

7. Radiation Pressure Coupling

8. Radiation Pressure Coupling

9. Radiation Pressure Coupling
Average Phonon number versus
Cooling driving laser power

10. Correlated Emission Laser
Quantum noise quenching
High precision measurements
Two-mode field entanglement and squeezing
Quantum computing
Quantum teleportation

11. Correlated Emission Laser

12. Correlated Emission Laser

13. Correlated Emission Laser
Two-mode field Entanglement
numerical
analytical

14. Entangling Movable Mirrors
The scheme:

15. Entangling Movable Mirrors
Hamiltonian

16. Entangling Movable Mirrors
Both field-mirror pairs coupled in a DCP
Field-mirror pairs coupled one in a DCP and one in BSP
or vice verse.
No entanglement between movable mirrors because of effective BSP
Both field-mirror pairs coupled in a BSP
Effective DCP with a large stable region. Entangled!
They do not generate entanglement between mirrors because of instability!

17. Entangling Movable Mirrors

18. Entangling Movable Mirrors
Entanglement of two-mode field

19. Entangling Movable Mirrors
Entanglement of movable mirrors

20. Entangling Movable Mirrors
Normalized field-field coupling strength in the presence of atomic system

21. Further Research

22. References
Optomechanical entanglement: D. Vitali et al, Phys. Rev. Lett 98, (2007)
Optomechanical induced transparency: S. Weis et al, Science 330, (2010)
Nanomechanical oscillator cooling: I. Wilson-Rae et al, Phys. Rev. Lett. 99, (2008); J. Chan et al, Nature 478, 89 (2011)
Correlated emission laser: M. O. Scully et al, Phys. Rev. Lett 60, (1988); X. Han et al, Phys. Rev. Lett. 94, (2005)
Entanglement criterion: X. Wang, Phys. Rev. A 66, (2002); L.M. Duan et al, Phys. Rev. Lett. 84, 2722 (2000); R. Simon, Phys. Rev. Lett 84, (2000)

23. Thank you for your listening and thank Dr
Thank you for your listening and thank Dr. Schuessler for a useful discussion.