论文标题
平衡中一维量子多体系统的经典场近似的量子校正
Quantum corrections to the classical field approximation for one-dimensional quantum many-body systems in equilibrium
论文作者
论文摘要
我们介绍了平衡中一维多体量子系统的半经典处理，其中经典场参数的重新归一化是系统地包括对经典场近似的量子校正。我们的半经典近似在弱相互作用和高温的极限上是可靠的。作为一个特定的例子，我们将方法应用于相互作用的bose气体和研究实验可观察到的数量，例如骨骼场的相关函数和间隔中粒子数量的完整计数统计。在可能的情况下，我们的方法将与从集成性得出的确切结果进行检查，显示出极好的一致性。
We present a semiclassical treatment of one-dimensional many-body quantum systems in equilibrium, where quantum corrections to the classical field approximation are systematically included by a renormalization of the classical field parameters. Our semiclassical approximation is reliable in the limit of weak interactions and high temperatures. As a specific example, we apply our method to the interacting Bose gas and study experimentally observable quantities, such as correlation functions of bosonic fields and the full counting statistics of the number of particles in an interval. Where possible, our method is checked against exact results derived from integrability, showing excellent agreement.
