Entanglement and extreme spin squeezing.
@article{Srensen2001EntanglementAE, title={Entanglement and extreme spin squeezing.}, author={Anders S S{\o}rensen and Klaus M{\o}lmer}, journal={Physical review letters}, year={2001}, volume={86 20}, pages={ 4431-4 } }
For any mean value of a Cartesian component of a spin vector we identify the smallest possible uncertainty in any of the orthogonal components. The corresponding states are optimal for spectroscopy and atomic clocks. We show that the results for different spin J can be used to identify entanglement and to quantify the depth of entanglement in systems with many particles. With the procedure developed in this Letter, collective spin measurements on an ensemble of particles can be used as an…
282 Citations
Spin squeezing of atomic ensembles via nuclear-electronic spin entanglement.
- PhysicsPhysical review letters
- 2008
We demonstrate spin squeezing in a room temperature ensemble of approximately 10(12) cesium atoms using their internal structure, where the necessary entanglement is created between nuclear and…
Negative Correlations and Entanglement in Higher-Spin Dicke States
- Physics
- 2016
We consider entanglement criteria based on the spin squeezing inequalities for arbitrary spin systems. Here we use the negative correlations to detect the entanglement in the system with exchange…
Entanglement and extreme spin squeezing of unpolarized states
- Physics
- 2016
We present criteria to detect the depth of entanglement in macroscopic ensembles of spin-j particles using the variance and second moments of the collective spin components. The class of states…
Orientation-dependent entanglement lifetime in a squeezed atomic clock.
- PhysicsPhysical review letters
- 2010
The Allan deviation spectrum of a clock operated with a phase-squeezed input state is measured, finding that for averaging times up to 50 s the squeezed clock achieves a given precision 2.8(3) times faster than a clock operating at the standard quantum limit.
Relating spin squeezing to multipartite entanglement criteria for particles and modes
- PhysicsPhysical Review A
- 2020
Entanglement witnesses based on first and second moments exist in the form of spin-squeezing criteria for the detection of particle entanglement from collective measurements, and in form of modified…
Spin Squeezing, Entanglement and Quantum Metrology
- Physics
- 2012
Spin squeezing is a quantum strategy introduced in 1993 by Kitagawa and Ueda [1] which aims to redistribute the fluctuations of two conjugate spin directions among each other. In 1994 it was…
Characterizing the width of entanglement
- Physics
- 2016
The size of controllable quantum systems has grown in recent times. Therefore, the spatial degree of freedom becomes more and more important in experimental quantum systems. However, the…
Entanglement Quantification in Atomic Ensembles.
- PhysicsPhysical review letters
- 2021
This work analytically derives the lower bounds of broad families of entanglement criteria based on variances of arbitrary operators and lower bounding the best separable approximation and the generalized robustness only from measurements of first and second moments of the collective spin operator.
Spin Squeezing Criterion with Local Unitary Invariance
- PhysicsQuantum Inf. Process.
- 2003
It is found that, for arbitrary pure two-qubit states, spin squeezing is equivalent to entanglement, and multi-qu bit states are entangled if this new spin squeezing parameter is less than unity.
References
SHOWING 1-10 OF 11 REFERENCES
Phys
- Rev. A. 47, 5138
- 1993
Phys
- Rev. Lett. 85, 1594
- 2000
Phys
- Rev. A. 50, 67
- 1994
Phys
- Rev. A 49, 4968
- 1994
Phys
- Rev. Lett. 83, 2274
- 1999
Phys
- Rev. A. 59, 4202
- 1999
Phys
- Rev. A 41, 3782
- 1990
Phys
- Rev. Lett. 79, 4782
- 1997
Phys
- 19, 1391
- 1978
Phys
- Rev. Lett. 83, 1319
- 1999