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

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.

arXiv comment7 pages, 10 figures

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• Operator growth in open quantum systems: lessons from the dissipative SYK
• Page Curve and Phase Transition in deformed Jackiw-Teitelboim Gravity
• Probing quantum chaos through singular-value correlations in sparse non-Hermitian SYK model
• Pole-skipping in two-dimensional de Sitter spacetime and double-scaled SYK model
• Unveiling Eigenstate Thermalization for Non-Hermitian systems
• Excitation Transmission through a non-Hermitian traversable wormhole
• Electric conductivity in non-Hermitian holography
• Thermodynamic and Real-time Dynamic Properties of Complex Sachdev-Ye-Kitaev Model
• On SYK traversable wormhole with imperfectly correlated disorders
• $T\bar{T}$ deformation on non-Hermitian two coupled SYK model
• Nematic order in topological SYK models
• Off-diagonal coupling of supersymmetric SYK model