Stability of PT and anti- PT -symmetric Hamiltonians with multiple harmonics

Cen, Julia; Joglekar, Yogesh N.; Saxena, Avadh

doi:10.1103/PhysRevResearch.6.013167

Title: Stability of $PT$ and anti- $PT$ -symmetric Hamiltonians with multiple harmonics

Journal Article · 13 February 2024 · Physical Review Research

DOI: https://doi.org/10.1103/PhysRevResearch.6.013167 · OSTI ID:2305420

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Hermitian Hamiltonians with time-periodic coefficients can be analyzed via Floquet theory, and have been extensively used for engineering Floquet Hamiltonians in standard quantum simulators. Generalized to non-Hermitian Hamiltonians, time periodicity offers avenues to engineer the landscape of Floquet quasienergies across the complex plane. We investigate two-level non-Hermitian $PT$ and anti- $PT$ -symmetric Hamiltonians with coefficients that have multiple harmonics using Floquet theory. By analytical and numerical calculations, we obtain their regions of stability, defined by real Floquet quasienergies, and contours of exceptional point (EP) degeneracies. We extend our analysis to study the phases that accompany these cyclic changes with the biorthogonality approach. Our results demonstrate that these time-periodic Hamiltonians generate a rich landscape of stable (real) and unstable (complex) regions. Published by the American Physical Society 2024

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Sponsoring Organization:: USDOE

OSTI ID:: 2305420

Journal Information:: Physical Review Research, Journal Name: Physical Review Research Journal Issue: 1 Vol. 6; ISSN PPRHAI; ISSN 2643-1564

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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