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Details of the analytic calculations will be presented elsewhere (, unpublished).
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Fratini, E.1
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77953166752
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Most of our calculations will be limited to the case mB=mF. This case, which is relevant for isotopic mixtures of sufficiently heavy atoms (K39-K40, e.g.), is taken as representative of the more general situation.
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Most of our calculations will be limited to the case m B = m F. This case, which is relevant for isotopic mixtures of sufficiently heavy atoms (K 39 - K 40, e.g.), is taken as representative of the more general situation.
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77953159323
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-1=1.11 for the polaron-to-molecule transition, 30% off the T-matrix prediction. This difference is due to the overestimate of the molecule-fermion repulsion by the T-matrix approximation, which yields 8/3a for the molecule-fermion scattering length in place of the exact value 1.18a [25], thus making the molecule formation in a Fermi sea enviroment less convenient.
-
- 1 = 1. 11 for the polaron-to-molecule transition, 30% off the T -matrix prediction. This difference is due to the overestimate of the molecule-fermion repulsion by the T -matrix approximation, which yields 8 / 3 a for the molecule-fermion scattering length in place of the exact value 1. 18 a [25], thus making the molecule formation in a Fermi sea enviroment less convenient.
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The value 1.60 for the critical coupling in the limit nB→0 is reached with a weak re-entrant behavior of the critical coupling vs imbalance, occurring at imbalances larger than those reported in Fig. 1.
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The value 1.60 for the critical coupling in the limit n B → 0 is reached with a weak re-entrant behavior of the critical coupling vs imbalance, occurring at imbalances larger than those reported in Fig. 1.
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Our preliminary calculations for mB*mF indicate that also in this case the critical coupling for a single boson governs the quantum phase transition. In particular, at the experimentally relevant ratio mB/mF=87/40, the critical coupling is in the range 1.3-1.5 at finite boson densities, its value for a single boson being 1.28.
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Our preliminary calculations for m B*m F indicate that also in this case the critical coupling for a single boson governs the quantum phase transition. In particular, at the experimentally relevant ratio m B / m F = 87 / 40, the critical coupling is in the range 1.3 - 1.5 at finite boson densities, its value for a single boson being 1.28.
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