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This study explores how non-Hermitian Gamma interactions induce gapless phases and dynamical spin-nematic correlations in a transverse field Ising chain, offering new schemes for generating specific quantum states. The research highlights the role of parity-time symmetry breaking in shaping rich quantum phase transitions relevant to fundamental quantum physics. While theoretically significant, the work remains within the realm of condensed matter theory rather than addressing immediate AI or quantum computing applications.
Dynamical spin-nematic correlation in a transverse field Ising chain with non-Hermitian Gamma interaction
arXiv:2604.17700v3 Announce Type: replace-cross 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 antiferromagnetic and paramagnetic phases, there is a gapless phase induced by parity-time symmetry breaking, where the system exhibits long-range and short-range spin-nematic correlations in different regions divided by the quantum critical line determined from the correlation function and the subsystem entanglement entropy. Furthermore, we reveal that the parity-time symmetry breaking leads to the emergence of dynamical spin-nematic correlation, which also suggests a way of characterizing the spin-nematic map 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 correlation in the spin chain.
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 antiferromagnetic and paramagnetic phases, there is a gapless phase induced by parity-time symmetry breaking, where the system exhibits long-range and short-range spin-nematic correlations in different regions divided by the quantum critical line determined from the correlation function and the subsystem entanglement entropy. Furthermore, we reveal that the parity-time symmetry breaking leads to the emergence of dynamical spin-nematic correlation, which also suggests a way of characterizing the spin-nematic map 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 correlation in the spin chain.
Mesoscale and Nanoscale Physics (cond-mat.mes-hall); Quantum Physics (quant-ph)
arXiv:2604.17700 [cond-mat.mes-hall]
(or arXiv:2604.17700v3 [cond-mat.mes-hall] for this version)
https://doi.org/10.48550/arXiv.2604.17700 Focus to learn more arXiv-issued DOI via DataCite
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