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Journal Article

Dissipative versus Conditional Generation of Gaussian Entanglement and Spin Squeezing


Hammerer,  Klemens
Laser Interferometry & Gravitational Wave Astronomy, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society;

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Vasilyev, D. V., Muschik, C. A., & Hammerer, K. (2013). Dissipative versus Conditional Generation of Gaussian Entanglement and Spin Squeezing. Physical Review A, 87: 053820. doi:10.1103/PhysRevA.87.053820.

Cite as: http://hdl.handle.net/11858/00-001M-0000-0015-15C7-A
Spin squeezing of collective atomic spins can be achieved conditionally via probing with light and subsequent homodyne detection, as is done in a Quantum Nondemolition measurement. Recently it has been shown that squeezing can also be created unconditionally by a properly designed dissipative dynamics. We compare the two approaches in a Gaussian description, and optimize over all Gaussian light-matter interactions. We find that in the optimal unconditional scheme based on dissipation the level of squeezing scales as $d^{-1/2}$. In contrast, the optimal conditional scheme based on measurement of light -- which in fact is not a Quantum Nondemolition measurement -- can provide squeezing which scales as $d^{-1}$ in the most relevant regime of moderate optical depths. Our results apply directly also to the creation of entanglement in the form of non-local spin squeezing of two atomic ensembles.