Effects of non-integrability in a non-Hermitian time crystal

• URL: http://arxiv.org/abs/2412.04382v2
• Date: Thu, 27 Mar 2025 23:29:17 GMT
• Title: Effects of non-integrability in a non-Hermitian time crystal
• Authors: Weihua Xie, Michael Kolodrubetz, Vadim Oganesyan, Daniel P. Arovas,
• Abstract summary: We investigate the effect of introducing a non-integrable interaction term into a non-Hermitian time crystal model.<n>A sufficiently strong interaction induces an unexpected symmetry-breaking transition.<n>Our results demonstrate that the interplay between non-Hermitian dynamics and many-body interactions can lead to novel symmetry breaking.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Time crystals are systems that spontaneously break time-translation symmetry, exhibiting repeating patterns in time. Recent work has shown that non-Hermitian Floquet systems can host a time crystalline phase with quasi-long-range order. In this work, we investigate the effect of introducing a non-integrable interaction term into this non-Hermitian time crystal model. Using a combination of numerical TEBD simulations, mean-field analysis, and perturbation theory, we find that the interaction term has two notable effects. First, it induces a shift in the phase diagram, moving the boundaries between different phases. Second, a sufficiently strong interaction induces an unexpected symmetry-breaking transition, which is not captured by the mean-field approach. Within average Hamiltonian theory, we trace this back to a ferromagnetic transition in the anisotropic non-Hermitian XXZ model. Our results demonstrate that the interplay between non-Hermitian dynamics and many-body interactions can lead to novel symmetry breaking.

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