耦合凝聚体中的 sine-Gordon 模型：广义流体动力学视角
The sine-Gordon model from coupled condensates: a Generalized Hydrodynamics viewpoint
AI总结：
本文基于广义流体动力学视角，分析了两个一维准凝聚体干涉图样中 sine-Gordon 模型的涌现动力学，揭示了陷阱引起的非均匀性对激发态不稳定性的影响并给出精确解析结果。
摘要：
sine-Gordon 模型刻画了大量一维量子系统的低能有效动力学，促进了构建该场理论通用量子模拟器的实验努力，并推动了能够捕捉远离平衡态场景的新理论工具包的并行发展。在本工作中，我们分析了从两个一维准凝聚体的干涉图样中实现 sine-Gordon 的过程：我们论证了其涌现的场理论可以很好地由其经典极限描述，并基于广义流体动力学发展了其大尺度描述方法。我们展示了尽管 sine-Gordon 是一个可积场理论，但陷阱引起的非均匀性会导致激发态的不稳定性，并提供了精确的解析结果来捕捉这一效应。
英文摘要：
The sine-Gordon model captures the low-energy effective dynamics of a wealth of one-dimensional quantum systems, stimulating the experimental efforts in building a versatile quantum simulator of this field theory and fueling the parallel development of new theoretical toolkits able to capture far-from-equilibrium settings. In this work, we analyze the realization of sine-Gordon from the interference pattern of two one-dimensional quasicondensates: we argue the emergent field theory is well described by its classical limit and develop its large-scale description based on Generalized Hydrodynamics. We show how, despite sine-Gordon being an integrable field theory, trap-induced inhomogeneities cause instabilities of excitations and provide exact analytical results to capture this effect.
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