近日，中国科学院近代物理研究所的Jarah Evslin及其研究团队取得一项新进展。经过不懈努力，他们时变量子孤子的摄动方法。相关研究成果已于2024年6月26日在国际知名学术期刊《高能物理杂志》上发表。

在本文中，该研究团队着眼于孤子碰撞和振荡，研究人员将这种方法推广到经典极限真正依赖于时间的量子态。更准确地说，研究人员使用一个幺正算子，灵感来自于对孤子的相干态方法，来分解出状态的非摄动部分，其中包括经典运动。量子态及其演化的解被简化为一个完全摄动的问题。

据悉，人们近期引入了一种轻量的摄动方法来研究量子孤子。到目前为止，这一方法主要局限于由单个孤子加上有限数量的介子组成的构型，其经典极限是孤立的静止或刚性运动孤子。

附：英文原文

Title: Perturbative approach to time-dependent quantum solitons

Author: Ogundipe, Kehinde, Evslin, Jarah

Issue&Volume: 2024-06-26

Abstract: Recently we have introduced a lightweight, perturbative approach to quantum solitons. Thus far, our approach has been largely limited to configurations consisting of a single soliton plus a finite number of mesons, whose classical limit is an isolated stationary or rigidly moving soliton. In this paper, with an eye to soliton collisions and oscillons, we generalize this approach to quantum states whose classical limits are genuinely time-dependent. More precisely, we use a unitary operator, inspired by the coherent state approach to solitons, to factor out the nonperturbative part of the state, which includes the classical motion. The solution for the quantum state and its evolution is then reduced to an entirely perturbative problem.

DOI: 10.1007/JHEP06(2024)174

Source: https://link.springer.com/article/10.1007/JHEP06(2024)174