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quant-ph2026
Exact Matching-Polynomial Solution of the Periodic Baxter-Fendley Clock Chain
Yuguan Li, D. C. Liu, Murray T. Batchelor
The periodic non-Hermitian Baxter-Fendley clock chain has lacked a complete finite-size spectral solution, whereas its open-chain counterpart admits a solution in terms of in…
quant-ph2026
Exact Solution for Non-Hermitian Free Fermions: A Case Study of the XY Chain
Yuguan Li, D. C. Liu, Murray T. Batchelor
We consider the non-Hermitian XY spin chain with open boundary conditions when the anisotropy parameter is extended to complex values. By analyzing the quasi-Hamiltonian matrix, we…
quant-ph2025
Characterizing phase transitions and criticality in non-Hermitian extensions of the XY model
D. C. Liu, Murray T. Batchelor
In this work we study non-Hermitian extensions of the paradigmatic spin-1/2 XY chain in a magnetic field. Using the mapping of the model to free fermion form, we provide analytical…