Quantum Scars in Quantum Field Theory
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 eig...
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| creator | Cotler, Jordan Wei, Annie Y |
| description | 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. |
| doi_str_mv | 10.48550/arxiv.2212.01637 |
| format | Article |
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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.</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.2212.01637</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Eigenvectors ; Orbits ; Physics - Chaotic Dynamics ; Physics - High Energy Physics - Theory ; Physics - Quantum Physics ; Physics - Strongly Correlated Electrons ; Quantum mechanics ; Quantum theory ; Scalars ; Scars ; Solitary waves ; Thermalization (energy absorption)</subject><ispartof>arXiv.org, 2022-12</ispartof><rights>2022. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). 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| subjects | Eigenvectors Orbits Physics - Chaotic Dynamics Physics - High Energy Physics - Theory Physics - Quantum Physics Physics - Strongly Correlated Electrons Quantum mechanics Quantum theory Scalars Scars Solitary waves Thermalization (energy absorption) |
| title | Quantum Scars in Quantum Field Theory |
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