Spectral Filtering Induced by Non-Hermitian Evolution with Balanced Gain and Loss: Enhancing Quantum Chaos

被引：44

作者：

Cornelius, Julien ^{[1
]}

Xu, Zhenyu ^{[2
]}

Saxena, Avadh ^{[3
,4
]}

Chenu, Aurelia ^{[1
]}

del Campo, Adolfo ^{[1
]}

机构：

[1] Univ Luxembourg, Dept Phys & Mat Sci, L-1511 Luxembourg, Luxembourg

[2] Soochow Univ, Sch Phys Sci & Technol, Suzhou 215006, Peoples R China

[3] Los Alamos Natl Lab, Theoret Div, Los Alamos, NM 87545 USA

[4] Los Alamos Natl Lab, Ctr Nonlinear Studies, Los Alamos, NM 87545 USA

来源：

PHYSICAL REVIEW LETTERS | 2022年 / 128卷 / 19期

基金：

中国国家自然科学基金;

关键词：

PARITY-TIME SYMMETRY; DECOHERENCE; DYNAMICS; DIAGONALIZATION; STATISTICS; STATE;

D O I：

10.1103/PhysRevLett.128.190402

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The dynamical signatures of quantum chaos in an isolated system are captured by the spectral form factor, which exhibits as a function of time a dip, a ramp, and a plateau, with the ramp being governed by the correlations in the level spacing distribution. While decoherence generally suppresses these dynamical signatures, the nonlinear non-Hermitian evolution with balanced gain and loss (BGL) in an energydephasing scenario can enhance manifestations of quantum chaos. In the Sachdev-Ye-Kitaev model and random matrix Hamiltonians, BGL increases the span of the ramp, lowering the dip as well as the value of the plateau, providing an experimentally realizable physical mechanism for spectral filtering. The chaos enhancement due to BGL is optimal over a family of filter functions that can be engineered with fluctuating Hamiltonians.

引用

页数：6

共 93 条

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