Quantum Scars in Quantum Field Theory
arXiv:2212.01637 · doi:10.1103/PhysRevD.107.125005
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.
arXiv comment7+32 pages, 2 figures
References in corpus (21)
- Chaos and Quantum Thermalization
- Probing many-body dynamics on a 51-atom quantum simulator
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- A bound on chaos
- Quantum many-body scars
- Black Holes and Random Matrices
- The approach to thermal equilibrium in quantized chaotic systems
- Quantum scarred eigenstates in a Rydberg atom chain: entanglement, breakdown of thermalization, and stability to perturbations
- Emergent SU(2) dynamics and perfect quantum many-body scars
- Periodic orbits, entanglement and quantum many-body scars in constrained models: matrix product state approach
- Oscillons: Resonant Configurations During Bubble Collapse
- Pseudo-Stable Bubbles
- Linear and Nonlinear Theory of Eigenfunction Scars
- Recent Developments in the Theory of Scarring
- Gravitational orbits, double-twist mirage, and many-body scars
- Quantum Lissajous Scars
- Controllable quantum scars in semiconductor quantum dots
- Thermalization and chaos in a 1+1d QFT
- Holographic solar systems and hydrogen atoms: non-relativistic physics in AdS and its CFT dual
- Effects of scarring on quantum chaos in disordered quantum wells
- An Effective Field Theory for Large Oscillons