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Soft quantum vibrations of a<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">PT</mml:mi></mml:math>-symmetric nonlinear ion chain
We theoretically study the quantum dynamics of transverse vibrations of a one-dimensional chain of trapped ions in harmonic potentials interacting via a Reggeon-type cubic nonlinearity that is nonunitary but preserves $\mathcal{P}\mathcal{T}$ symmetry. We propose the notion of quantum fragility for the dissipative structural phase transition that spontaneously breaks the $\mathcal{P}\mathcal{T}$ …