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Entanglement of Movable Mirrors in a Correlated Emission Laser Wenchao Ge, Hyunchul Nha, and M. S Zubairy Institute for Quantum Science and Engineering,

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Presentation on theme: "Entanglement of Movable Mirrors in a Correlated Emission Laser Wenchao Ge, Hyunchul Nha, and M. S Zubairy Institute for Quantum Science and Engineering,"— Presentation transcript:

1 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

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 down conversion process beam-splitter 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, 1520 (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, 1832 (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, 2726 (2000)

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


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