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arXiv · 2208.10800

Non-Hermitian quantum system generated from two coupled Sachdev-Ye-Kitaev models

Wenhe Cai·Sizheng Cao·Xian-Hui Ge·Masataka Matsumoto·Sang-Jin Sin
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Abstract

We show that a non-Hermitian two coupled Sachdev-Ye-Kitaev (SYK) model can provide thermodynamic structure equivalent to Hermitian two coupled SYK model. The energy spectrum, the entanglement degree of the ground states and the low energy effective action of this model are not influenced by the non-Hermiticity. The novel biorthogonal ground states demonstrates that two SYK sites, one of which can be in the ground state and the other in the Schwarzian excited state by tuning the non-Hermiticity. We find evidence that the free energy is independent of the non-Hermiticity.

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Wenhe Cai, Sizheng Cao, Xian-Hui Ge, Masataka Matsumoto, Sang-Jin Sin. 2022-11-18. Non-Hermitian quantum system generated from two coupled Sachdev-Ye-Kitaev models. https://doi.org/10.1103/physrevd.106.106010

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