晶格上强相互作用无自旋费米子的Boltzmann弛豫动力学
Boltzmann relaxation dynamics of strongly interacting spinless fermions on a lattice
摘要：
受近年来量子多体系统非平衡现象研究的启发，我们通过推导和数值求解描述晶格上强相互作用费米子弛豫到热力学平衡的量子Boltzmann方程，研究了晶格上强相互作用费米子，推导过程是在1/Z展开的框架下通过检验关联的层次来进行的.应用马尔可夫近似，我们得到的动态方程的分布函数。有趣的是，我们发现在强耦合极限下，粒子和空穴之间的碰撞主导了粒子-粒子和空穴-空穴碰撞-与弱相互作用系统形成鲜明对比。因此，我们的数值模拟表明，弛豫时间尺度强烈依赖于初始存在的激发类型（粒子或空穴或两者）。
英文摘要：
Motivated by the recent interest in non-equilibrium phenomena in quantum many-body systems, we study strongly interacting fermions on a lattice by deriving and numerically solving quantum Boltzmann equations that describe their relaxation to thermodynamic equilibrium.The derivation is carried out by inspecting the hierarchy of correlations within the framework of the 1/Z-expansion. Applying the Markov approximation, we obtain the dynamic equations for the distribution functions. Interestingly, we find that in the strong-coupling limit, collisions between particles and holes dominate over particle-particle and hole-hole collisions -- in stark contrast to weakly interacting systems. As a consequence, our numerical simulations show that the relaxation time scales strongly depend on the type of excitations (particles or holes or both) that are initially present.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
