Critical properties including phase diagrams in non-Hermitian XY models depend on the quantum mechanics formalism and chosen state, with arguments favoring standard quantum mechanics.
Dynamical spin-nematic order in a transverse field Ising chain with non-Hermitian Gamma interaction
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abstract
We investigate the effect of non-Hermitian Gamma interaction on the phase transitions and magnetic correlations for the transverse field Ising chain. We demonstrate that apart from the gapped ferromagnetic and paramagnetic phases, there is a gapless phase, where the system exhibits long-range spin-nematic order induced by parity-time symmetry breaking. Furthermore, we reveal that the parity-time symmetry breaking leads to the emergence of dynamical spin-nematic order, which also suggests a way of characterizing the spin-nematic phase diagram through non-equilibrium dynamics. Our findings show rich quantum phases stem from the competition among the Ising interaction, transverse field and non-Hermitian Gamma interaction, as well as providing a scheme for generating spin-nematic order in the spin chain.
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2026 1verdicts
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Quantum critical properties of non-Hermitian XY models with magnetic field
Critical properties including phase diagrams in non-Hermitian XY models depend on the quantum mechanics formalism and chosen state, with arguments favoring standard quantum mechanics.