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Symmetry Classification and Universality in Non-Hermitian Many-Body Quantum Chaos by the Sachdev-Ye-Kitaev Model
Antonio M. García-García, Lucas Sá, Jacobus J. M. Verbaarschot
Spectral correlations are a powerful tool to study the dynamics of quantum many-body systems. For Hermitian Hamiltonians, quantum chaotic motion is related to random matrix theory…
Replica Symmetry Breaking and Phase Transitions in a PT Symmetric Sachdev-Ye-Kitaev Model
Antonio M. García-García, Yiyang Jia, Dario Rosa +1
We show that the low temperature phase of a conjugate pair of uncoupled, quantum chaotic, nonhermitian systems such as the Sachdev-Ye-Kitaev (SYK) model or the Ginibre ensemble of…
Cascade of phase transitions in a planar Dirac material
Takuya Kanazawa, Mario Kieburg, Jacobus J. M. Verbaarschot
We investigate a model of interacting Dirac fermions in dimensions with flavors and colors having the symmetry. In the large-…