论文标题
一维玻璃气中的可合价破坏：原子损失和能量损失
Integrability breaking in the one dimensional Bose gas: Atomic losses and energy loss
论文作者
论文摘要
一维$δ$ function相互作用的玻色气（Lieb-Liniger模型）是一个可集成的系统，可以在一维陷阱中使用超冷原子进行建模实验。即使模型是可集成的，但在现实世界实验中始终存在集成性破坏效应。在这项工作中，我们考虑了由于原子损失而导致的一致性破坏，这是实验中最相关的效果。我们设置了一个框架，以确切计算模型规范费用的损失，并计算出由于本地$ k $体流程而导致的能量损失的确切结果，对任意$ k $有效。我们的结果采用了多个积分的形式，这些积分在实验相关的$ k = 1,2,3 $中被明确分解。
The one dimensional $δ$-function interacting Bose gas (the Lieb-Liniger model) is an integrable system, which can model experiments with ultra cold atoms in one dimensional traps. Even though the model is integrable, integrability breaking effects are always present in the real world experiments. In this work we consider the integrability breaking due to atomic loss, which is the most relevant effect in the experiments. We set up a framework for the exact computation of the losses of the canonical charges of the model, and compute an exact result for the energy loss due to the local $K$-body processes, valid for arbitrary $K$. Our result takes the form of multiple integrals, which are explicitly factorized in the experimentally relevant cases of $K=1,2,3$.
