(Non) supersymmetric quantum quenches

TL;DR

This paper investigates supersymmetric quantum quenches in the $ abla$ vector model, revealing that supersymmetry is broken in the late-time state after a quench, with numerical and analytical evidence showing non-thermal SUSY breaking.

Contribution

It demonstrates SUSY breaking in quantum quenches of the $ abla$ vector model using analytical approximations and numerical simulations, highlighting the non-thermal nature of the final state.

Findings

Mass quench causes localized singularity in free fermionic fields.

Supersymmetry is broken in the asymptotic state after the quench.

Final state is not thermal at leading order in Hartree-Fock approximation.

Abstract

We explore supersymmetric quantum quenches of the mass and coupling constants in the $\mathcal{N}=1$ supersymmetric vector model using Hartee-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. We argue that the breaking of supersymmetry cannot be attributed to the thermal physics since to leading order in the Hartee-Fock approximation the final state is not thermal.