2002
DOI: 10.1103/physreva.66.033611
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Spin squeezing and entanglement in spinor condensates

Abstract: We analyze quantum correlation properties of a spinor-1 ( f ϭ1) Bose-Einstein condensate using the Gell-Mann realization of SU͑3͒ symmetry. We show that previously discussed phenomena of condensate fragmentation and spin mixing can be explained in terms of the hypercharge symmetry. The ground state of a spinor-1 condensate is found to be fragmented for ferromagnetic interactions. The notion of two-bosonic-mode squeezing is generalized to the two-spin (U-V) squeezing within the SU͑3͒ formalism. Spin squeezing i… Show more

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Cited by 51 publications
(53 citation statements)
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References 41 publications
(92 reference statements)
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“…As was shown before [19,22] multi-atom internal state correlations continue to arise dynamically with H ′ and the addition of single atom Raman couplings of the type iΩ µν (a † µ a ν − a † ν a µ )/2. Unfortunately, we have not been able to solve for the combined dynamics analytically even for a small number of atoms.…”
supporting
confidence: 55%
“…As was shown before [19,22] multi-atom internal state correlations continue to arise dynamically with H ′ and the addition of single atom Raman couplings of the type iΩ µν (a † µ a ν − a † ν a µ )/2. Unfortunately, we have not been able to solve for the combined dynamics analytically even for a small number of atoms.…”
supporting
confidence: 55%
“…Collisions between the different internal states of the atoms allow spin-changing collisions that have been studied in detail in [7][8][9][10]. These collisions can notably be employed to generate spin squeezing [11][12][13], that can be used to overcome the quantum shot noise limit [14][15][16][17][18]. Spinor dynamics was also studied in two dimensional systems [15], and in the presence of periodic potentials and across the superfluid to Mott insulator transition [19].…”
Section: Introductionmentioning
confidence: 99%
“…For two-qubit systems, the entanglement can be well quantified by the concurrence [6]. For higher-spin systems, the quantification and verification of entanglement become the most challenging work [4,[7][8][9][10]. Spin squeezing is one of the successful methods for creating quantum entanglement in systems with a large number of particles [7,9,[11][12][13][14][15][16][17][18][19][20] .…”
Section: Introductionmentioning
confidence: 99%