Phase transitions in a holographic superfluid model with non-linear terms beyond the probe limit.
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| Title: | Phase transitions in a holographic superfluid model with non-linear terms beyond the probe limit. |
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| Authors: | Zhao, Zi-Qiang1 (AUTHOR), Nie, Zhang-Yu2 (AUTHOR) niezy@kust.edu.cn, Zhang, Jing-Fei1 (AUTHOR), Zhang, Xin1,3,4 (AUTHOR) zhangxin@mail.neu.edu.cn |
| Source: | European Physical Journal C -- Particles & Fields. Sep2025, Vol. 85 Issue 9, p1-9. 9p. |
| Subjects: | Phase transitions, Superfluidity, Theorists, Condensation, Nonlinear equations |
| Abstract: | We study the holographic s-wave superfluid model with fourth- and sixth-power self-interaction terms λ | ψ | 4 and τ | ψ | 6 , considering the full back-reaction of the matter fields on the metric in the 3+1-dimensional bulk. The self-interaction terms are effective at controlling the condensate to realize various phase transitions, such as zeroth-order, first-order, and second-order phase transitions within the single-condensate s-wave superfluid model. Therefore, in this work, we investigate the influence of the back-reaction strength on various phase transitions, including zeroth-order and first-order phase transitions. In addition, we confirm that the influence of the fourth- and sixth-power terms on the superfluid phase transition in the case of finite back-reaction is qualitatively the same as in the probe limit, thus presenting universality. We also plot the special values λ s of the parameter λ at different back-reaction strengths, below which the condensate grows in the opposite direction. These values are important in controlling the order of the superfluid phase transitions. Comparing the influence of the back-reaction parameter with that of the higher-order non-linear coefficients, we see that the back-reaction strength brings in effective couplings similar to both the fourth-power and sixth-power terms. [ABSTRACT FROM AUTHOR] |
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| Database: | Engineering Source |
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| Abstract: | We study the holographic s-wave superfluid model with fourth- and sixth-power self-interaction terms λ | ψ | 4 and τ | ψ | 6 , considering the full back-reaction of the matter fields on the metric in the 3+1-dimensional bulk. The self-interaction terms are effective at controlling the condensate to realize various phase transitions, such as zeroth-order, first-order, and second-order phase transitions within the single-condensate s-wave superfluid model. Therefore, in this work, we investigate the influence of the back-reaction strength on various phase transitions, including zeroth-order and first-order phase transitions. In addition, we confirm that the influence of the fourth- and sixth-power terms on the superfluid phase transition in the case of finite back-reaction is qualitatively the same as in the probe limit, thus presenting universality. We also plot the special values λ s of the parameter λ at different back-reaction strengths, below which the condensate grows in the opposite direction. These values are important in controlling the order of the superfluid phase transitions. Comparing the influence of the back-reaction parameter with that of the higher-order non-linear coefficients, we see that the back-reaction strength brings in effective couplings similar to both the fourth-power and sixth-power terms. [ABSTRACT FROM AUTHOR] |
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| ISSN: | 14346044 |
| DOI: | 10.1140/epjc/s10052-025-14712-x |
