Fate of exceptional points in the presence of nonlinearities
- URL: http://arxiv.org/abs/2208.11205v2
- Date: Fri, 9 Sep 2022 13:08:52 GMT
- Title: Fate of exceptional points in the presence of nonlinearities
- Authors: Andisheh Khedri, Dominic Horn, and Oded Zilberberg
- Abstract summary: We study the fate of an exceptional point in the presence of strong correlations.
The melting of the exceptional point occurs above a critical nonlinearity threshold.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The non-Hermitian dynamics of open systems deal with how intricate coherent
effects of a closed system intertwine with the impact of coupling to an
environment. The system-environment dynamics can then lead to so-called
exceptional points, which are the open-system marker of phase transitions,
i.e., the closing of spectral gaps in the complex spectrum. Even in the
ubiquitous example of the damped harmonic oscillator, the dissipative
environment can lead to an exceptional point, separating between under-damped
and over-damped dynamics at a point of critical damping. Here, we examine the
fate of this exceptional point in the presence of strong correlations, i.e.,
for a nonlinear oscillator. By employing a functional renormalization group
approach, we identify non-perturbative regimes of this model where the
nonlinearity makes the system more robust against the influence of dissipation
and can remove the exceptional point altogether. The melting of the exceptional
point occurs above a critical nonlinearity threshold. Interestingly, the
exceptional point melts faster with increasing temperatures, showing a
surprising flow to coherent dynamics when coupled to a warm environment.
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