Polaron Interactions and Bipolarons in One-Dimensional Bose Gases in the Strong Coupling Regime.

Polaron Interactions and Bipolarons in One-Dimensional Bose Gases in the Strong Coupling Regime.
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强耦合体系中一维玻色气体中的极化子相互作用和双极化子。

DOI:
10.1103/physrevlett.127.103401
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发表时间:
2021
影响因子:
8.6
通讯作者:
M. Fleischhauer
M. Fleischhauer
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
M. Will;G. Astrakharchik;M. Fleischhauer

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玻色极化子是由移动的杂质和冷玻色气体组成的准粒子,在多体环境中能发生强相互作用,形成双极化子束缚态。在这里,我们提出了一个详细的研究重极化子在一维玻色气体的非微扰理论,并补充它与精确的数值模拟。我们开发了一种分析方法弱玻色子-玻色子相互作用和任意强杂质-玻色子耦合。我们的方法是基于平均场理论,占超流体的杂质的变形,并以这种方式最大限度地减少量子波动。在Born-Oppenheimer近似下精确求解了平均场方程,得到了重极化子相互作用势的解析表达式,与量子Monte Carlo(QMC)结果非常吻合.在强耦合极限,潜在的实质上偏离指数形式有效的弱耦合,并具有在短距离的线性形状。在考虑了Born-Huang修正的情况下,我们计算了杂质-玻色子质量比低至3时的双极化子结合能,并与QMC的结果进行了比较。
Bose polarons, quasiparticles composed of mobile impurities surrounded by cold Bose gas, can experience strong interactions mediated by the many-body environment and form bipolaron bound states. Here we present a detailed study of heavy polarons in a one-dimensional Bose gas by formulating a nonperturbative theory and complementing it with exact numerical simulations. We develop an analytic approach for weak boson-boson interactions and arbitrarily strong impurity-boson couplings. Our approach is based on a mean-field theory that accounts for deformations of the superfluid by the impurities and in this way minimizes quantum fluctuations. The mean-field equations are solved exactly in the Born-Oppenheimer approximation, leading to an analytic expression for the interaction potential of heavy polarons, which is found to be in excellent agreement with quantum Monte Carlo (QMC) results. In the strong coupling limit, the potential substantially deviates from the exponential form valid for weak coupling and has a linear shape at short distances. Taking into account the leading-order Born-Huang corrections, we calculate bipolaron binding energies for impurity-boson mass ratios as low as 3 and find excellent agreement with QMC results.
DOI: 10.1126/science.aax5850
发表时间: 2019-04
期刊: Science
影响因子: 56.9
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