Spectral properties of one-dimensional Fermi systems after an interaction quench

Abstract

We show that the single-particle spectral properties of gapless one-dimensional Fermi systems in the Luttinger liquid state reached at intermediate times after an abrupt quench of the two-particle interaction are highly indicative of the unusual nonequilibrium nature of this state. The line shapes of the momentum integrated and resolved spectral functions strongly differ from their ground state as well as finite temperature equilibrium counterparts. Using an energy resolution improved version of radio-frequency spectroscopy of quasi one-dimensional cold Fermi gases it should be possible to experimentally identify this nonequilibrium state by its pronounced spectral signatures.

5 pages, 3 figures

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• Non-monotonic response and light-cone freezing in gapless-to-(partially) gapped quantum quenches of fermionic systems
• Quench-induced entanglement and relaxation dynamics in Luttinger liquids
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• Out of Equilibrium Majoranas in Interacting Kitaev Chains
• Quantum Quench for inhomogeneous states in the non-local Luttinger model
• Universal transport dynamics in a quenched tunnel-coupled Luttinger liquid
• Optimal protocols for finite-duration quantum quenches in the Luttinger model