Local resonances and parametric level dynamics in the many-body localized phase

被引:30
作者
Garratt, S. J. [1 ]
Roy, Sthitadhi [1 ,2 ]
Chalker, J. T. [1 ]
机构
[1] Univ Oxford, Theoret Phys, Parks Rd, Oxford OX1 3PU, England
[2] Univ Oxford, Phys & Theoret Chem, South Parks Rd, Oxford OX1 3QZ, England
基金
英国工程与自然科学研究理事会;
关键词
QUANTUM CHAOTIC SYSTEMS; ENERGY-LEVELS; STATISTICAL-MECHANICS; MOTION; THERMALIZATION; EIGENVALUES; SPECTRA;
D O I
10.1103/PhysRevB.104.184203
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
By varying the disorder realization in the many-body localized (MBL) phase, we investigate the influence of resonances on spectral properties. The standard theory of the MBL phase is based on the existence of local integrals of motion (LIOM), and eigenstates of the time evolution operator can be described as LIOM configurations. We show that smooth variations of the disorder give rise to avoided level crossings, and we identify these with resonances between LIOM configurations. Through this parametric approach, we develop a theory for resonances in terms of standard properties of nonresonant LIOM. This framework describes resonances that are locally pairwise, and is appropriate in arbitrarily large systems deep within the MBL phase. We show that resonances are associated with large level curvatures on paths through the ensemble of disorder realizations, and we determine the curvature distribution. By considering the level repulsion associated with resonances, we calculate the two-point correlator of the level density. We also find the distributions of matrix elements of local observables and discuss implications for low-frequency dynamics.
引用
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页数:19
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