General interaction quenches in a Luttinger liquid

Abstract

We discuss a general interaction quench in a Luttinger liquid described by a paired bosonic Hamiltonian. By employing $\mathsf{su}(1,1)$ Lie algebra, the post-quench time-evolved wavefunctions are obtained analytically, from which the time evolution of the entanglement in momentum space can be investigated. We note that depending on the choice of Bogoliubov quasiparticles, the expressions of wavefunctions, which describe time-evolved paired states, can take different forms. The correspondence between the largest entanglement eigenvalue in momentum space and the wavefunction overlap in quench dynamics is discussed, which generalizes the results of Dóra {\em et al} [2016, {\em Phys. Rev. Lett.} \textbf{117}, 010603]. A numerical demonstration on an XXZ lattice model is presented via the exact diagonalization method.

21 pages, 1 figure, including supplementary material

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• Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
• The Luttinger model following a sudden interaction switch-on
• Luttinger liquid universality in the time evolution after an interaction quench
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Cited by in corpus (1)

• Momentum space entanglement of interacting fermions