论文标题
量子的碰撞速率ANSATZ用于量子整合系统
Collision rate ansatz for quantum integrable systems
论文作者
论文摘要
对于量子整合系统，重新审视相对于广义吉布斯集合的平均电流。确切的公式已知，我们称之为“碰撞率Ansatz”。尽管在各种模型中都有大量工作来确认这一ANSATZ，但我们的方法使用了当前充电易感矩阵的对称性，该矩阵具有很高的通用性。除了一些技术假设外，主要输入是自保存的电流的可用性，即某些电流本身是保守的。然后派出碰撞率Ansatz。该论点是针对Lieb-Liniger模型和Heisenberg XXZ链条详细介绍的。 Fermi-Hubbard模型未涵盖，因为似乎没有自保存的电流。还可以解释如何从增强操作员的存在中推导自保存的电流。
For quantum integrable systems the currents averaged with respect to a generalized Gibbs ensemble are revisited. An exact formula is known, which we call "collision rate ansatz". While there is considerable work to confirm this ansatz in various models, our approach uses the symmetry of the current-charge susceptibility matrix, which holds in great generality. Besides some technical assumptions, the main input is the availability of a self-conserved current, i.e. some current which is itself conserved. The collision rate ansatz is then derived. The argument is carried out in detail for the Lieb-Liniger model and the Heisenberg XXZ chain. The Fermi-Hubbard model is not covered, since no self-conserved current seems to exist. It is also explained how from the existence of a boost operator a self-conserved current can be deduced.
