One-dimensional fermionic systems after interaction quenches and their description by bosonic field theories

Abstract

We show that the dynamics of quenches in one dimension far off equilibrium can be described by power laws, but with exponents differing from the fully renormalized ones at lowest energies. Instead they depend on the initial state and its excitation energy. Furthermore, we found that for quenches to strong interactions unexpected similarities between systems in one and in infinite dimensions occur, indicating the dominance of local processes.

This is a distinctly revised version which is focussed on the description of the dynamics by bosonization techniques

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Cited by in corpus (13)

• Quantum quench within the gapless phase of the spin-1/2 Heisenberg XXZ spin-chain
• Quantum Quench and Prethermalization Dynamics in A Two-Dimensional Fermi Gas with Long-range Interactions
• Luttinger liquid properties of the steady state after a quantum quench
• Digital Quantum Simulation of Non-Equilibrium Quantum Many-Body Systems
• Interaction quenches in the two-dimensional fermionic Hubbard model
• Interaction Quench in Nonequilibrium Luttinger Liquids
• Dynamical properties of a driven dissipative dimerized $S=1/2$ chain
• Quantum dynamics of impenetrable SU(N) fermions in one-dimensional lattices
• Quenches in initially coupled Tomonaga-Luttinger Liquids: a conformal field theory approach
• Time evolution during and after finite-time quantum quenches in Luttinger liquids
• Quantum Quench for inhomogeneous states in the non-local Luttinger model
• Comparison of the Iterated Equation of Motion Approach and the Density Matrix Formalism for the Quantum Rabi Model
• Strong quenches in the one-dimensional Fermi-Hubbard model