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Generalized spin squeezing inequalities for particles number with quantum fluctuations
- Publication Year :
- 2016
- Publisher :
- arXiv, 2016.
-
Abstract
- Particle number fluctuations, no matter how small, are present in experimental set-ups. One should rigorously take these fluctuations into account, especially, for entanglement detection. In this context, we generalize the spin squeezing inequalities introduced by T\'oth et al. in Phys. Rev. Lett. 99, 250405 (2007). These new inequalities are fulfilled by all separable states even when the number of particle is not constant, and may present quantum fluctuations. These inequalities are useful for detecting entanglement in many-body systems when the super-selection rule does not apply, or when only a subspace of the total systems Hilbert space is considered. We also define general dichotomic observables for which we obtain a coordinate independent form of the generalized spin squeezing inequalities. We give an example where our generalized coordinate independent spin squeezing inequalities present a clear advantage over the original ones.<br />Comment: 11 pages, 2 figures
- Subjects :
- Physics
Quantum Physics
Superselection
010308 nuclear & particles physics
Hilbert space
FOS: Physical sciences
Context (language use)
Observable
Quantum entanglement
01 natural sciences
symbols.namesake
Separable state
Quantum mechanics
0103 physical sciences
symbols
010306 general physics
Quantum Physics (quant-ph)
Quantum fluctuation
Spin-½
Mathematical physics
Subjects
Details
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....348d265a2b1eb8f07be997592aa95f73
- Full Text :
- https://doi.org/10.48550/arxiv.1606.08801