Non-Hermiticity gives rise to unique topological phases without Hermitian analogs. However, the effective field theory has yet be established. Here, we develop a field-theoretical description of intrinsic non-Hermitian phases. Because dissipative and nonequilibrium nature non-Hermiticity, our is formulated solely in terms spatial degrees freedom, which contrasts with conventional defined spacet...

In this work we study topological properties of the one-dimensional Creutz ladder model with different non-Hermitian asymmetric hoppings and on-site imaginary potentials, obtain phase diagrams regarding presence absence an energy gap in-gap edge modes. The skin effect (NHSE), which is known to break bulk-boundary correspondence (BBC), emerges in system only when non-Hermiticity induces certain ...

Topological lasers are investigated in nonlinear, non-Hermitian, and topological lattice systems based on a quench dynamics starting from one site. Explicitly, we consider the laser Su-Schrieffer-Heeger model with two edge states second-order breathing kagome three corner states. Once stimulate any site, after some delay, all sites belonging to or shown emit stable light depending density of st...

We discuss topological transitions during parametric resonance in the gauge sector of electroweak theory. It is shown that the resonance leads to separation of topological indices of the gauge and Higgs fields, resulting in topological transitions of non-sphaleron nature.

The terminology and notation used in this paper have been introduced in the following articles: [29], [16], [12], [13], [11], [1], [2], [32], [18], [30], [24], [25], [26], [27], [3], [9], [34], [35], [33], [28], [15], [21], [37], [10], [31], [20], [23], [5], [14], [6], [22], [8], [4], [19], [36], and [7]. Let I be a set and let J be a relational structure yielding many sorted set indexed by I. ...