超固体流体力学理论:变分原理和有效拉格朗日量
Hydrodynamic theory of supersolids: Variational principle and effective Lagrangian
摘要:
我们开发了一个有效的低能量,长波长理论的散装超固体-一个假定的阶段的物质同时结晶和玻色凝聚。利用守恒定律和一般的对称性参数,我们得到一个有效的行动,正确地描述了玻色凝聚和弹性之间的耦合的固体。我们用我们的有效行动来计算的相关性和响应函数的超固体,我们表明,发病的超固体产生的响应函数的峰值,对应于在固体中传播的第二种声音模式。在我们的工作中,我们连接到现有的工作有效的理论超流体和正常的固体,我们强调的重要性,守恒定律和对称性,在确定的数量和性质的集体模式。
英文摘要:
We develop an effective low-energy, long-wavelength theory of a bulk supersolid--a putative phase of matter with simultaneous crystallinity and Bose condensation. Using conservation laws and general symmetry arguments we derive an effective action that correctly describes the coupling between the Bose condensation and the elasticity of the solid. We use our effective action to calculate the correlation and response functions for the supersolid, and we show that the onset of supersolidity produces peaks in the response function, corresponding to propagating second sound modes in the solid. Throughout our work we make connections to existing work on effective theories of superfluids and normal solids, and we underscore the importance of conservation laws and symmetries in determining the number and character of the collective modes.
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