Related papers: Spontaneous symmetry emergence in a Hermitian system without symmetry

Spontaneous symmetry emergence in a Hermitian system without symmetry

URL: http://arxiv.org/abs/2209.12497v3
Date: Sun, 28 Apr 2024 10:11:01 GMT
Title: Spontaneous symmetry emergence in a Hermitian system without symmetry
Authors: T. T. Sergeev, E. S. Andrianov, A. A. Zyablovsky,
Abstract summary: We show that the system state can acquire symmetry, which is not inherent to the system Hamiltonian. The emergence of symmetry manifests itself in a change of the system dynamics, which can be interpreted as a phase transition in a Hermitian system without symmetry.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: Spontaneous symmetry breaking in systems with symmetry is a cornerstone phenomenon accompanying second-order phase transitions. Here, we predict the opposite phenomenon, namely, spontaneous symmetry emergence in a system without symmetry. On the example of two coupled oscillators interacting non-symmetrically with a set of oscillators whose frequencies uniformly fill a finite frequency range, we demonstrate that the system state can acquire symmetry, which is not inherent to the system Hamiltonian. The emergence of symmetry manifests itself in a change of the system dynamics, which can be interpreted as a phase transition in a Hermitian system without symmetry.

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