Quantum Triticality of Bosonic Atomic-Molecular Mixtures with Feshbach Coupling

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Hauptverfasser: Chen, Yuan-Hong, Zheng, Dong-Chen, Liao, Renyuan
Format: Preprint
Veröffentlicht: 2024
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author Chen, Yuan-Hong
Zheng, Dong-Chen
Liao, Renyuan
author_facet Chen, Yuan-Hong
Zheng, Dong-Chen
Liao, Renyuan
contents We develop a functional integral formulation for a homogeneous bosonic atomic-molecular mixture with Feshbach coupling in three-spatial dimensions. Taking phase stability into account, we establish a rich ground-state phase diagram, which features three regions: molecular superfluid (MSF), atomic-molecular superfluid (AMSF), and phase separation (PS). The system can accommodate up to two tricritical points where the three regions meet, with one tricritical point being intrinsic and the other being conditional. Strikingly, we show that the sound velocity vanishes as the AMSF phase touches on the border of phase separation lines. We find that quantum fluctuations correction to the ground-state energy and quantum depletion of the condensates vary nonmonotonically with Feshbach coupling strength as well as molecular percentage. Correlation functions such as pairing amplitudes, density structure factor and spin density structure factor show characteristic behaviors when the system crosses phase transitions. Our work paves the way for future advancement toward understanding salient physics of atom-molecular mixtures.
format Preprint
id arxiv_https___arxiv_org_abs_2407_07422
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Quantum Triticality of Bosonic Atomic-Molecular Mixtures with Feshbach Coupling
Chen, Yuan-Hong
Zheng, Dong-Chen
Liao, Renyuan
Quantum Gases
Quantum Physics
We develop a functional integral formulation for a homogeneous bosonic atomic-molecular mixture with Feshbach coupling in three-spatial dimensions. Taking phase stability into account, we establish a rich ground-state phase diagram, which features three regions: molecular superfluid (MSF), atomic-molecular superfluid (AMSF), and phase separation (PS). The system can accommodate up to two tricritical points where the three regions meet, with one tricritical point being intrinsic and the other being conditional. Strikingly, we show that the sound velocity vanishes as the AMSF phase touches on the border of phase separation lines. We find that quantum fluctuations correction to the ground-state energy and quantum depletion of the condensates vary nonmonotonically with Feshbach coupling strength as well as molecular percentage. Correlation functions such as pairing amplitudes, density structure factor and spin density structure factor show characteristic behaviors when the system crosses phase transitions. Our work paves the way for future advancement toward understanding salient physics of atom-molecular mixtures.
title Quantum Triticality of Bosonic Atomic-Molecular Mixtures with Feshbach Coupling
topic Quantum Gases
Quantum Physics
url https://arxiv.org/abs/2407.07422