Universal spectral correlations in interacting chaotic few-body quantum systems

被引:3
作者
Fritzsch, Felix [1 ,2 ]
Kieler, Maximilian F. I. [3 ,4 ]
机构
[1] Univ Ljubljana, Fac Math & Phys, Phys Dept, Ljubljana 1000, Slovenia
[2] Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany
[3] Tech Univ Dresden, Inst Theoret Phys, D-01062 Dresden, Germany
[4] Ctr Dynam, D-01062 Dresden, Germany
关键词
FORM-FACTOR;
D O I
10.1103/PhysRevE.109.014202
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
The emergence of random matrix spectral correlations in interacting quantum systems is a defining feature of quantum chaos. We study such correlations in terms of the spectral form factor and its moments in interacting chaotic few-and many-body systems, modeled by suitable random-matrix ensembles. We obtain the spectral form factor exactly for large Hilbert space dimension. Extrapolating those results to finite Hilbert space dimension we find a universal transition from the noninteracting to the strongly interacting case, which can be described as a simple combination of these two limits. This transition is governed by a single scaling parameter. In the bipartite case we derive similar results also for all moments of the spectral form factor. We confirm our results by extensive numerical studies and demonstrate that they apply to more realistic systems given by a pair of quantized kicked rotors as well. Ultimately we complement our analysis by a perturbative approach covering the small-coupling regime.
引用
收藏
页数:22
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