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Article overview
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Quantum Scars in Quantum Field Theory | | Jordan Cotler
; Annie Y. Wei
; | | Date: |
3 Dec 2022 | | Abstract: | We develop the theory of quantum scars for quantum fields. By generalizing
the formalisms of Heller and Bogomolny from few-body quantum mechanics to
quantum fields, we find that unstable periodic classical solutions of the field
equations imprint themselves in a precise manner on bands of energy
eigenfunctions. This indicates a breakdown of thermalization at certain energy
scales, in a manner that can be characterized via semiclassics. As an explicit
example, we consider time-periodic non-topological solitons in complex scalar
field theories. We find that an unstable variant of Q-balls, called Q-clouds,
induce quantum scars. Some technical contributions of our work include methods
for characterizing moduli spaces of periodic orbits in field theories, which
are essential for formulating our quantum scar formula. We further discuss
potential connections with quantum many-body scars in Rydberg atom arrays. | | Source: | arXiv, 2212.01637 | | Services: | Forum | Review | PDF | Favorites | |
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