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

Julien Cornelius, Zhenyu Xu, Avadh Saxena, Aurélia Chenu, and Adolfo del Campo
Phys. Rev. Lett. 128, 190402 – Published 13 May 2022
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Abstract

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.

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  • Received 22 August 2021
  • Accepted 18 April 2022

DOI:https://doi.org/10.1103/PhysRevLett.128.190402

© 2022 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & TechnologyNonlinear DynamicsAtomic, Molecular & OpticalGeneral PhysicsStatistical Physics & ThermodynamicsCondensed Matter, Materials & Applied Physics

Authors & Affiliations

Julien Cornelius1, Zhenyu Xu2, Avadh Saxena3, Aurélia Chenu1, and Adolfo del Campo1

  • 1Department of Physics and Materials Science, University of Luxembourg, L-1511 Luxembourg, Luxembourg
  • 2School of Physical Science and Technology, Soochow University, Suzhou 215006, China
  • 3Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA

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Issue

Vol. 128, Iss. 19 — 13 May 2022

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