Mallayya Krishnanand, Rigol Marcos
Department of Physics, Pennsylvania State University, University Park, Pennsylvania 16802, USA.
Phys Rev Lett. 2018 Feb 16;120(7):070603. doi: 10.1103/PhysRevLett.120.070603.
We implement numerical linked cluster expansions (NLCEs) to study dynamics of lattice systems following quantum quenches, and focus on a hard-core boson model in one-dimensional lattices. We find that, in the nonintegrable regime and within the accessible times, local observables exhibit exponential relaxation. We determine the relaxation rate as one departs from the integrable point and show that it scales quadratically with the strength of the integrability breaking perturbation. We compare the NLCE results with those from exact diagonalization calculations on finite chains with periodic boundary conditions, and show that NLCEs are far more accurate.
我们采用数值链接簇展开（NLCEs）来研究量子猝灭后晶格系统的动力学，并聚焦于一维晶格中的硬核玻色子模型。我们发现，在不可积区域以及可及时间内，局部可观测量呈现指数弛豫。我们确定了偏离可积点时的弛豫率，并表明它与可积性破坏微扰的强度呈二次方比例关系。我们将NLCE的结果与具有周期性边界条件的有限链上精确对角化计算的结果进行比较，结果表明NLCE更为精确。
