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Area of Science:

  • Condensed Matter Physics
  • Quantum Dynamics
  • Topological Phases of Matter

Background:

  • Nonintegrable quantum systems exhibit complex behaviors when driven out of equilibrium.
  • Critical points in phase diagrams are sensitive regions where novel phenomena can emerge.
  • Non-Hermitian (NH) physics describes systems with gain or loss, offering new theoretical frameworks.

Purpose of the Study:

  • To investigate the dynamical formation of exceptional degeneracies in quantum correlation functions.
  • To explore the emergence of topologically robust non-Hermitian nodal phases in quenched systems.
  • To identify observable signatures of these novel phases in dynamical processes.

Main Methods:

  • Utilizing nonequilibrium Green's function methods.
  • Employing the conserving second Born approximation for theoretical calculations.
  • Analyzing quenched one- and two-dimensional nonintegrable systems near a critical point.

Main Results:

  • Demonstrating the dynamical promotion of semimetallic points to topologically robust NH nodal phases.
  • Predicting the emergence of these phases during coherent time evolution in equilibrating systems.
  • Identifying distinct signatures in spectral functions and momentum distribution dynamics.

Conclusions:

  • Exceptional degeneracies can dynamically form robust non-Hermitian nodal phases.
  • These phases are a consequence of quantum dynamics near critical points.
  • Observable signatures provide experimental avenues for detecting these novel topological phases.