Power-law scalings in weakly-interacting Bose gases at quantum criticality |
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Authors: | Ming-Cheng Liang Zhi-Xing Lin Yang-Yang Chen Xi-Wen Guan Xibo Zhang |
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Abstract: | Weakly interacting quantum systems in low dimensions have been investigated for a long time, but there still remain a number of open questions and a lack of explicit expressions of physical properties of such systems. In this work, we find power-law scalings of thermodynamic observables in low-dimensional interacting Bose gases at quantum criticality. We present a physical picture for these systems with the repulsive interaction strength approaching zero; namely, the competition between the kinetic and interaction energy scales gives rise to power-law scalings with respect to the interaction strength in characteristic thermodynamic observables. This prediction is supported by exact Bethe ansatz solutions in one dimension, demonstrating a simple 1/3-power-law scaling of the critical entropy per particle. Our method also yields results in agreement with a non-perturbative renormalization-group computation in two dimensions. These results provide a new perspective for understanding many-body phenomena induced by weak interactions in quantum gases. |
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Keywords: | power-law scaling quantum criticality Bose gases weak interaction non-perturbative methods |
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