Out-of-time-order correlators for Swanson Hamiltonian with interaction terms
- URL: http://arxiv.org/abs/2606.04062v1
- Date: Tue, 02 Jun 2026 12:47:13 GMT
- Title: Out-of-time-order correlators for Swanson Hamiltonian with interaction terms
- Abstract summary: We compute the out-of-time-ordered correlator (OTOC) for canonical position and momentum operators.<n>Our analysis reveals how integrability, nonlinearity, driving, and parity-time symmetry breaking shape the temporal growth of operator correlations.
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- License: http://creativecommons.org/licenses/by-sa/4.0/
- Abstract: In this work, we compute the out-of-time-ordered correlator (OTOC) for canonical position and momentum operators across a hierarchy of non-Hermitian oscillator models: the exactly solvable Swanson Hamiltonian, its Kerr-nonlinear extension, and parametrically driven variants. By employing the biorthogonal formalism required for parity-time symmetric quantum mechanics, we evaluate OTOCs both at zero and finite temperature, distinguishing behavior in the unbroken (real-spectrum) and broken (complex-spectrum) phases. Our analysis reveals how integrability, nonlinearity, driving, and parity-time symmetry breaking shape the temporal growth of operator correlations -- providing a clear benchmark for OTOC dynamics in non-Hermitian quadratic and weakly anharmonic systems. We further characterize critical scaling of the OTOC near the exceptional point and discuss experimental perspectives for observing these effects in photonic, circuit-QED, and trapped-ion platforms.
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