Spectral Filtering Induced by Non-Hermitian Evolution with Balanced Gain and Loss: Enhancing Quantum Chaos
| Autor: | Avadh Saxena, Adolfo Del Campo, Zhenyu Xu, Julien Cornelius, Aurelia Chenu |
|---|---|
| Rok vydání: | 2022 |
| Předmět: |
High Energy Physics - Theory
Quantum Physics High Energy Physics - Theory (hep-th) Physique [G04] [Physique chimie mathématiques & sciences de la terre] Condensed Matter - Mesoscale and Nanoscale Physics Mesoscale and Nanoscale Physics (cond-mat.mes-hall) Physics [G04] [Physical chemical mathematical & earth Sciences] FOS: Physical sciences General Physics and Astronomy Chaotic Dynamics (nlin.CD) Quantum Physics (quant-ph) Nonlinear Sciences - Chaotic Dynamics |
| Zdroj: | Physical Review Letters. 128 |
| ISSN: | 1079-7114 0031-9007 |
| DOI: | 10.1103/physrevlett.128.190402 |
| Popis: | 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 energy-dephasing 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. 6+5 pages, 2+5 figures |
| Databáze: | OpenAIRE |
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