Quantum quenches and thermalization in one-dimensional fermionic systems
Quantum quenches and thermalization in one-dimensional fermionic systems
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DOI：
10.1103/physreva.80.053607
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发表时间：
2009-11-01
影响因子：
2.9
通讯作者：
Rigol, Marcos
中科院分区：
文献类型：
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作者：
Rigol, Marcos
我们研究了量子猝灭后有限一维晶格中强相关费米子的动力学和热化。我们的计算是用精确对角化进行的。我们分别关注一体和二体观测值，如动量分布函数[n(k)]和密度-密度结构因子[n(k)]，并研究逼近可积点的影响。我们发现费米子的弛豫动力学和N(k)的热化与硬核玻色子非常相似，但N(k)的行为却明显不同。后者在费米子系统中表现出较慢的弛豫动力学。我们确定了这种行为的起源，这与基于哈密顿特征态的n(k)的非对角矩阵元素有关。更一般地说，我们发现热化发生在远离可积点的地方，当接近可积点时，热化就会破裂。
We study the dynamics and thermalization of strongly correlated fermions in finite one-dimensional lattices after a quantum quench. Our calculations are performed using exact diagonalization. We focus on one- and two-body observables such as the momentum distribution function [n(k)] and the density-density structure factor [N(k)], respectively, and study the effects of approaching an integrable point. We show that while the relaxation dynamics and thermalization of N(k) for fermions is very similar to the one of hardcore bosons, the behavior of n(k) is distinctively different. The latter observable exhibits a slower relaxation dynamics in fermionic systems. We identify the origin of this behavior, which is related to the off-diagonal matrix elements of n(k) in the basis of the eigenstates of the Hamiltonian. More generally, we find that thermalization occurs far away from integrability and that it breaks down as one approaches the integrable point.