Numerical calculation of the complex berry phase in non-Hermitian systems

Abstract

We numerically investigate topological phases of periodic lattice systems in tight-binding description under the influence of dissipation. The effects of dissipation are effectively described by $\mathcal{P}\mathcal{T}$-symmetric potentials. In this framework we develop a general numerical gauge smoothing procedure to calculate complex Berry phases from the biorthogonal basis of the system's non-Hermitian Hamiltonian. Further, we apply this method to a one-dimensional $\mathcal{P}\mathcal{T}$-symmetric lattice system and verify our numerical results by an analytical calculation.

arXiv comment7 pages, 3 figures, minor modifications in the final version

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Cited by in corpus (17)

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• Topological invariants in dissipative extensions of the Su-Schrieffer-Heeger model
• Topological photonic states in one-dimensional dimerized ultracold atomic chains
• Topological phonon polaritons in one-dimensional non-Hermitian nanoparticle chains
• PT Symmetric Floquet Topological Phase in SSH Model
• Non-Hermitian anomalous skin effect
• Spontaneous topological pumping in non-Hermitian systems
• Topology of multipartite non-Hermitian one-dimensional systems
• Polarization and entanglement spectrum in non-hermitian systems
• Symmetry-protected quantization of complex Berry phases in non-Hermitian many-body systems
• Topological edge states in the Su-Schrieffer-Heeger model subject to balanced particle gain and loss
• Topological Transitions with an Imaginary Aubry-Andre-Harper Potential
• Anomalous features of non-Hermitian topological states
• Topological phases of commensurate or incommensurate non-Hermitian Su-Schrieffer-Heeger lattices
• Topological states at exceptional points
• Realization of geometric phase topology induced by multiple exceptional points
• Pseudo-Jahn-Teller interaction among electronic resonant states of H3