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Phase separation in binary Bose mixtures at finite temperature
by Gabriele Spada, Luca Parisi, Gerard Pascual, Nicholas G. Parker, Thomas P. Billam, Sebastiano Pilati, Jordi Boronat, Stefano Giorgini
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|Authors (as registered SciPost users):
|Jordi Boronat · Stefano Giorgini · Sebastiano Pilati · Gabriele Spada
We investigate the magnetic behavior of finite-temperature repulsive two-component Bose mixtures by means of exact path-integral Monte-Carlo simulations. Novel algorithms are implemented for the free energy and the chemical potential of the two components. Results on the magnetic susceptibility show that the conditions for phase separation are not modified from the zero temperature case. This contradicts previous predictions based on approximate theories. We also determine the temperature dependence of the chemical potential and the contact parameters for experimentally relevant balanced mixtures.
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- Cite as: Anonymous, Report on arXiv:scipost_202302_00011v1, delivered 2023-05-01, doi: 10.21468/SciPost.Report.7124
In their manuscript, the authors study the magnetic behavior of finite-temperature repulsive two-component Bose mixtures using exact path-integral Monte-Carlo simulations. The authors implement a new algorithms for the free energy, the chemical potential, and the magnetic susceptibility of the two components. The main result is that conditions for phase separation remain unchanged from the zero temperature case. The calculation of the chemical potential and contact parameters as a function of temperature, show their deviations in the critical region from the results of perturbative methods.
Overall, the manuscript is well presented, and can be considered as a timely contribution to an interesting topic. However there are some mysterious points that should be addressed more carefully.
The authors don’t provide much of a physical explanation for their results. For example, the statement « the conditions for phase separation are not modified from the zero temperature case ». The choice of the parameters : N=128 and T=0.794 T_c. Is this choice arbitrary ? N looks small, what happens if one extends it to large values?
The authors compared their Monte Carlo data for the chemical potential and free energy only with their own HF and Popov theories but they completely ignored the other theories such as the full HFB theory (see e.g. Phys. Rev. A 97, 033627 (2018) and Phys. Rev. A 104, 023310 (2021). The discrepancy between the Monte Carlo simulations and the HF and Popov theories couldn’t due to the missing of the anomalous correlations (pairing) in these perturbative theories? Effects of thermal fluctuations on the phase separation in Bose mixtures has been also discussed in Phys. Rev. A 97, 033627 (2018). The above references should be cited and commented on.
In conclusion, before giving my definitive approval, I recommend that the authors provide more details into the physical reasons behind the obtained results. I think this would be of great benefit not only to the manuscript and also to the reader.