Solitons and entanglement in the double sine-Gordon model

The Sine-Gordon Wobble

Nonperturbative, oscillatory, winding number one solutions of the Sine-Gordon equation are presented and studied numerically. We call these nonperturbative shape modes {\sl wobble} solitons. Perturbed Sine-Gordon kinks are found to decay to {\sl wobble} solitons.

Analogue Hawking Radiation and Sine-Gordon Soliton in a Superconducting Circuit

We propose the use of a waveguide-like transmission line based on direct-current superconducting quantum interference devices (dc-SQUID) and study the sine-Gordon (SG) equation which characterises the dynamical behavior of the superconducting phase in this transmission line. Guided by the duality between black holes in Jackiw-Teitelboim (JT) dilaton gravity and solitons in sine-Gordon field theory, we show how to, in our setup, realize 1 + 1 dimensional black holes as solitons of the sine-Gordon equation. We also study the analogue Hawking radiation in terms of the quantum soliton evaporation,…

Charge varying sine-Gordon deformed defects

Sine-Gordon deformed defects that exhibit unusual phenomenological features on the topological charge are investigated. The possibility of a smooth and continuous transition between topological (non null charge) and non-topological (null charge) scenarios of deformed defects supported by sine-Gordon structures is evinced by the analytical calculation of topological charges and localized energy distributions. By describing cyclic deformation chains, we show that a triggering sine-Gordon model simultaneously supports kink and lump-like defects, whose topological mass values are closed by trigono…

利用量子气体显微镜制备与分析sine-Gordon模型中的孤子

Preparing and Analyzing Solitons in the sine-Gordon Model with Quantum Gas Microscopes

该研究理论上提出用强排斥相互作用的隧道耦合Bose-Hubbard链实现量子区sine-Gordon模型，设计了超冷原子量子气体显微镜制备分析孤子的方案，并通过矩阵乘积态数值模拟表征方案、讨论实验要求。

Quantum sine-Gordon dynamics in coupled spin chains

The sine-Gordon field theory emerges as the low-energy description in a wealth of quantum many-body systems. Recent efforts have been directed towards realizing quantum simulators of the model, by interfering two weakly coupled one-dimensional cold atomic gases. The weak interactions within the atomic clouds provide a sine-Gordon realization in the semiclassical regime. Furthermore, the complex microscopic dynamics prevents a quantitative understanding of the effective sine-Gordon validity realm. In this work, we focus on a spin ladder realization and observe the emergent sine-Gordon dynamics …