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The theorectical recalibration of empirical temperatures is performed at the coupling constant 1/ kF a=+0.11, by using the mean-field crossover theory of Chen et al.. This small detuning of coupling constant, with respect to the experimental situation of 1/ kF a□-0.03, is required in order to predict theorectically the same value of zero temperature energy as measured.
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In contrast, the crossover theory of Chen et al. fails to predict such apparent superfluid transition, although it has been used to recalibrate the measured empirical temperatures.
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In contrast, the crossover theory of Chen et al. fails to predict such apparent superfluid transition, although it has been used to recalibrate the measured empirical temperatures.
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The resulting empirical temperature itself is model-independent. However, to recover the actual temperature, an assumption is used that the full three-dimensional density distribution in the unitary limit is close to an ideal TF functional form. We have checked this, and found that this essential assumption is not well-satisfied either in the mean-field or NSR theories. Hence, the mapping from empirical to actual temperatures can have large random and systematic errors.
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The resulting empirical temperature itself is model-independent. However, to recover the actual temperature, an assumption is used that the full three-dimensional density distribution in the unitary limit is close to an ideal TF functional form. We have checked this, and found that this essential assumption is not well-satisfied either in the mean-field or NSR theories. Hence, the mapping from empirical to actual temperatures can have large random and systematic errors.
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