entanglement of movable mirrors in a correlated emission laser wenchao ge, hyunchul nha, and m. s...
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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, Texas A&M University, College StationTexas A&M University at Qatar, Education City, P.O. Box 23874, Doha, Qatar
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Contents
•Motivation
•Radiation Pressure Coupling
•Correlated Emission Laser
•Entangling Movable Mirrors
•Further Research
•References
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Motivation
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Radiation Pressure Coupling
•Entanglement generation•Laser cooling•Optomechanical devices•Optomechanically induced transparency•Nonlinear effects
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Radiation Pressure Coupling
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Radiation Pressure Coupling
small nonlinear term
down conversion process
beam-splitter process
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Radiation Pressure Coupling
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Radiation Pressure Coupling
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Radiation Pressure CouplingAverage Phonon number versusCooling driving laser power
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Correlated Emission Laser
•Quantum noise quenching
•High precision measurements
•Two-mode field entanglement and squeezing
•Quantum computing
•Quantum teleportation
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Correlated Emission Laser
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Correlated Emission Laser
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Correlated Emission Laser
Two-mode field Entanglement
numerical
analytical
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Entangling Movable Mirrors•The scheme:
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Entangling Movable Mirrors
•Hamiltonian
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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!
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Entangling Movable Mirrors
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Entangling Movable Mirrors
•Entanglement of two-mode field
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Entangling Movable Mirrors
•Entanglement of movable mirrors
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Entangling Movable Mirrors
1 2 3 4 5 0.01
0.020.030.040.05
FF C oupling
•Normalized field-field coupling strength in the presence of atomic system
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Further Research
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References• Optomechanical entanglement: D. Vitali et al, Phys. Rev. Lett 98, 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. Lett 60, 1832 (1988); X. Han et al, Phys. Rev. Lett. 94, 023601 (2005)
• Entanglement criterion: X. Wang, Phys. Rev. A 66, 024303 (2002); L.M. Duan et al, Phys. Rev. Lett. 84, 2722 (2000); R. Simon, Phys. Rev. Lett 84, 2726 (2000)
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Thank you for your listening and thank Dr. Schuessler for a useful
discussion.