Dynamically Induced Exceptional Phases in Quenched Interacting Semimetals

Abstract

We report on the dynamical formation of exceptional degeneracies in basic correlation functions of non-integrable one- and two-dimensional systems quenched to the vicinity of a critical point. Remarkably, fine-tuned semi-metallic points in the phase diagram of the considered systems are thereby promoted to topologically robust non-Hermitian (NH) nodal phases emerging in the coherent long-time evolution of a dynamically equilibrating system. In the framework of non-equilibrium Green's function methods within the conserving second Born approximation, we predict observable signatures of these novel NH nodal phases in simple spectral functions as well as in the time-evolution of momentum distribution functions.

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Cited by in corpus (7)

• Fourth-Order Exceptional Points in Correlated Quantum Many-Body Systems
• Non-Hermitian Topology in Hermitian Topological Matter
• Enhanced eigenvector sensitivity and algebraic classification of sublattice-symmetric exceptional points
• Symmetry protected exceptional points of interacting fermions
• Protection of Correlation-Induced Phase Instabilities by Exceptional Susceptibilities
• Nodal Spectral Functions Stabilized by Non-Hermitian Topology of Quasiparticles
• Exceptional Luttinger Liquids from sublattice dependent interaction