In previous chapters, we have studied BEC of weakly interacting atomic gases and triplons within OPT, limiting ourselves to the linear order of the auxiliary parameter- \(\delta \) . This approach, being equivalent to the HFB approximation, turns out to be a powerful tool to describe the physical properties of at least homogeneous Bose systems. One of the main reasons for such success is that in majority of experiments with ultracold gases deal with weakly interacting atoms: \(\gamma =\rho a_s^3\sim 10^{-8} \div 10^{-4}\) . In reality, experimenters may create BECs with stronger interactions, that is, large \(\gamma \) , by means of the Feshbach resonance technique [1] Besides, we have to note that superfluid helium, consisting of \(\sim 10 \%\) of condensed fraction, is a strongly interacting system.

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Optimized Perturbation Theory in  \(\delta ^2\) Order

  • Abdulla Rakhimov,
  • Shukhrat Mardonov

摘要

In previous chapters, we have studied BEC of weakly interacting atomic gases and triplons within OPT, limiting ourselves to the linear order of the auxiliary parameter- \(\delta \) . This approach, being equivalent to the HFB approximation, turns out to be a powerful tool to describe the physical properties of at least homogeneous Bose systems. One of the main reasons for such success is that in majority of experiments with ultracold gases deal with weakly interacting atoms: \(\gamma =\rho a_s^3\sim 10^{-8} \div 10^{-4}\) . In reality, experimenters may create BECs with stronger interactions, that is, large \(\gamma \) , by means of the Feshbach resonance technique [1] Besides, we have to note that superfluid helium, consisting of \(\sim 10 \%\) of condensed fraction, is a strongly interacting system.