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Entanglement of Movable Mirrors in a Correlated Emission Laser

Entanglement of Movable Mirrors in a Correlated Emission Laser. 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. 2. 1. 1. 2.

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Entanglement of Movable Mirrors in a Correlated Emission Laser

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  1. Entanglement of Movable Mirrors in a Correlated Emission Laser WenchaoGe, HyunchulNha, 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 2 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. Vitaliet al, Phys. Rev. Lett98, 030405 (2007) • Optomechanical induced transparency: S. Weis et al, Science 330, 1520 (2010) • Nanomechanical oscillator cooling: I. Wilson-Rae et al, Phys. Rev. Lett. 99, 093901 (2008); J. Chan et al, Nature 478, 89 (2011) • Correlated emission laser: M. O. Scully et al, Phys. Rev. Lett60, 1832 (1988); X. Han et al, Phys. Rev. Lett. 94, 023601 (2005) • Entanglement criterion: X. Wang, Phys. Rev. A 66, 024303 (2002); L.M. Duanet al, Phys. Rev. Lett. 84, 2722 (2000); R. Simon, Phys. Rev. Lett84, 2726 (2000)

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

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