Temporal correlation beyond quantum bounds in non-hermitian dynamics.

@article{Varma2019TemporalCB,
  title={Temporal correlation beyond quantum bounds in non-hermitian dynamics.},
  author={Anant V Varma and Ipsika Mohanty and Sourin Das},
  journal={arXiv: Quantum Physics},
  year={2019}
}
We study the dynamics of two level systems described by non-hermitian Hamiltonians with real eigenvalues. Within the framework of hermitian quantum mechanics, it is known that maximal violation of Leggett-Garg inequality is bounded by $3/2$ (Luder's bound). We show that this absolute bound can be evaded when dynamics is governed by non-hermitian Hamiltonians. Moreover, the extent of violation can be optimized to reach its algebraic maximum of $3$ which is otherwise only feasible when the… 
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