(non) supersymmetric quantum quenches. (English) Zbl 1396.81104
Summary: We explore supersymmetric quantum quenches of the mass and coupling constants in the \(N = 1\) supersymmetric vector model using Hartree-Fock approximation. We find that in the case of the free fermionic field, quench of the mass generates singularity localized at the instant of sudden change and we point out the essential role of the parity of spacetime. Focusing on a supersymmetric generalization of the \(\phi^6\) model and using stationary phase approximation, we demonstrate that supersymmetry is broken in the asymptotic state that emerges at late times after the quench. Finally, we confirm SUSY breaking in the time-dependent setting by integrating numerically the exact equations of motion from the instant of the quench into asymptotic regime. The breaking of supersymmetry cannot be directly attributed to the thermal physics since to leading order in the Hartree-Fock approximation the model is integrable and therefore thermalization does not occur.
MSC:
| 81Q60 | Supersymmetry and quantum mechanics |
| 81T20 | Quantum field theory on curved space or space-time backgrounds |
| 81T40 | Two-dimensional field theories, conformal field theories, etc. in quantum mechanics |
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