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Meson content of entanglement spectra after integrable and nonintegrable quantum quenches. (arXiv:2210.15682v2 [hep-th] UPDATED)

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We use tensor network simulations to calculate the time evolution of the
lower part of the entanglement spectrum and return rate functions after global
quantum quenches in the Ising model. We consider ground state quenches towards
mesonic parameter ranges with confined fermion pairs as nonperturbative bound
states in a semiclassical regime and the relativistic E$_8$ theory. We find
that in both cases only the dominant eigenvalue of the modular Hamiltonian
fully encodes the meson content of the quantum many-body system or quantum
field theory, giving rise to nearly identical entanglement oscillations in the
entanglement entropy. When the initial state is prepared in the paramagnetic
phase, the return rate density exhibits regular cusps at unequally spaced
positions, signaling the appearance of dynamical quantum phase transitions, at
which the entanglement spectrum remains gapped. Our analyses provide a deeper
understanding on the role of quantum information quantities for the dynamics of
emergent phenomena reminiscent of systems in high-energy physics.

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