WebKnots and Non-Hermitian Bloch Bands Haiping Hu1,2 and Erhai Zhao1, 1Department of Physics and Astronomy, George Mason University, Fairfax, Virginia 22030, USA … WebExtending topological band theory to non-Hermitian (NH) systems has signi cantly broadened and deepened our understanding about the topology of Bloch bands. NH …

Four examples of links/knots in 1D NH Bloch bands. Braid …

WebJul 18, 2024 · Abstract: Knots have a twisted history in quantum physics. They were abandoned as failed models of atoms. Only much later was the connection between knot invariants and Wilson loops in topological quantum field theory discovered. Here we show that knots tied by the eigenenergy strings provide a complete topological classification of … WebSep 4, 2024 · We develop a graphic approach for characterizing one-dimensional non-Hermitian topological phases. The eigenstates of energy bands are mapped to a graph on the torus, where a nontrivial topology exhibits as links. The topology of band touching exceptional points is a crucial aspect of a non-Hermitian system; the existence of … crock pot model scr151-wg-np

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WebWe illustrate our theory by applying it to a highly tunable model of two-band Hamiltonian in 2D. The framework paves the way to study the topological properties of more general quantum quenches. Loop unitary for quantum quench. We will focus on the quantum quench dynamics of a generic two-band system WebNov 28, 2024 · The non-Hermitian skin effect, as a unique feature of non-Hermitian systems, will break the topological energy braiding of Bloch bands in open boundary systems. Going beyond the Bloch band theory, we unveil the energy braiding of non-Bloch bands by introducing a one-dimensional non-Hermitian tight-binding model. WebThe non-Bloch band theory is applied to two examples, non-Hermitian p- and s-wave topological superconductors. Topological phase transitions occur at \beta_{c}= \pm 1 in the two systems. In terms of Majorana Pfaffian, a Z2 non-Bloch topological invariant is defined to establish the non-Hermitian bulk-boundary correspondence in non-Hermitian ... crock pot model sccpvp450h-b