Non-Hermitian boost deformation
arXiv:2301.05973 · doi:10.1103/PhysRevB.108.075108
Abstract
The Hatano-Nelson model is one of the most prototypical non-Hermitian models that exhibit the intrinsic non-Hermitian topological phases and the concomitant skin effect. These phenomena unique to non-Hermitian topological systems originate from the Galilean transformation. Here, we extend such an idea to a broader range of systems based on an imaginary boost deformation and identify the corresponding energy-twisted boundary conditions. This imaginary boost deformation complexifies spectral parameters of integrable models and can be implemented by the coordinate Bethe ansatz. We apply the imaginary boost deformation to several typical integrable models, including free fermions, the Calogero-Sutherland model, and the XXZ model. We find the complex-spectral winding in free fermion models under the periodic boundary conditions and the non-Hermitian skin effect under the open boundary conditions. The interaction effect is also shown in the two-particle spectrum of the XXZ model.
13 pages, 8 figures. Added references. Corrected typos
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- Quantum Dynamics with Stochastic Non-Hermitian Hamiltonians
- Infernal and Exceptional Edge Modes: Non-Hermitian Topology Beyond the Skin Effect
- Hopf Bifurcation of Nonlinear Non-Hermitian Skin Effect
- Multifractal statistics of non-Hermitian skin effect on the Cayley tree
- Discrete time crystals detected by time-translation twist