Quench Dynamics in Two-Dimensional Integrable SUSY Models

Abstract

We analyse quench processes in two dimensional quantum field theories with infinite number of conservation laws which also include fermionic charges that close a $N=1$ supersymmetric algebra. While in general the quench protocol induces a breaking of supersymmetry, we show that there are particular initial states which ensure the persistence of supersymmetry also for the dynamics out of equilibrium. We discuss the conditions that identify such states and, as application, we present the significant cases of the Tricritical Ising Model and the Sine-Gordon model at its supersymmetric point. We also address the issue of the Generalized Gibbs Ensemble in the presence of fermionic conserved charges.

33 pages, 7 figures

References in corpus (19)

• Thermalization and its mechanism for generic isolated quantum systems
• Non-equilibrium coherence dynamics in one-dimensional Bose gases
• Quantum Quench in the Transverse Field Ising Chain
• Complete Generalized Gibbs Ensemble in an interacting Theory
• Dephasing and the steady state in quantum many-particle systems
• Strong and weak thermalization of infinite non-integrable quantum systems
• Quenching the Anisotropic Heisenberg Chain: Exact Solution and Generalized Gibbs Ensemble Predictions
• Correlations after quantum quenches in the XXZ spin chain: Failure of the Generalized Gibbs Ensemble
• Quantum quench dynamics of the Luttinger model
• Effective thermal dynamics following a quantum quench in a spin chain
• Dynamical Correlations after a Quantum Quench
• Generalized Gibbs Ensembles for Quantum Field Theories
• Long time dynamics following a quench in an integrable quantum spin chain: local versus non-local operators and effective thermal behavior
• Quantum quench in the sine-Gordon model
• Time evolution of correlations in strongly interacting fermions after a quantum quench
• Quenching the XXZ spin chain: quench action approach versus generalized Gibbs ensemble
• Initial states in integrable quantum field theory quenches from an integral equation hierarchy
• Exact finite size spectrum in super sine-Gordon model
• Bound States of Majorana Fermions in Semi-classical Approximation

Cited by in corpus (7)

• The Quench Action
• Hamiltonian truncation approach to quenches in the Ising field theory
• Quench dynamics of the Ising field theory in a magnetic field
• Supersymmetry in the nonsupersymmetric Sachdev-Ye-Kitaev model
• Weak-ergodicity-breaking via lattice supersymmetry
• Perturbative post-quench overlaps in Quantum Field Theory
• Ergodicity breaking and Localization of the Nicolai supersymmetric fermion lattice model