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- W2017357675 abstract "Spin-s assemblies are classified into two mutually exclusive classes: oriented and non-oriented systems. The density matrix ρ, describing oriented systems, can assume diagonal form in the angular momentum basis () defined with respect to the axis of quantization, whereas the eigenstates of ρ for the non-oriented assembly cannot all be identified with states. A new scheme for constructing a mixed, non-oriented spin-s state using s(2s+1) spinors all pointing in different directions in space and 2s weights is discussed. Such a construction takes its inspiration from Schwinger's idea of realizing an state as being made up of (s+m) 'up' spinors and (s−m) 'down' spinors, all defined with respect to a single axis in space. Since the oriented systems are never squeezed, non-oriented spin-1 assemblies which can be prepared in the laboratory with the available NQR technology are examined for signatures of squeezing using our scheme in a frame of reference where the Heisenberg–Robertson uncertainty relation has the same form as the Schrödinger uncertainty relation. It is shown that unlike in the case of the pure spin-1 state where squeezing is synonymous with non-orientedness, a non-oriented spin-1 system need not be squeezed and the existence of entanglement is a necessary but not sufficient condition for the system to be squeezed." @default.
- W2017357675 created "2016-06-24" @default.
- W2017357675 creator A5007091894 @default.
- W2017357675 date "2004-09-16" @default.
- W2017357675 modified "2023-09-27" @default.
- W2017357675 title "Spin squeezing, entanglement and correlations" @default.
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- W2017357675 doi "https://doi.org/10.1088/1464-4266/6/11/002" @default.
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