General interaction quenches in a Luttinger liquid

We discuss a general interaction quench in a Luttinger liquid described by a paired bosonic Hamiltonian. By employing 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 Dora et al (2016, Phys. Rev. Lett. 117, 010 603). A numerical demonstration on an XXZ lattice model is presented via the exact diagonalization method.

Automated summary

In this study, we discuss the general interaction quench in a Luttinger liquid described by a paired bosonic Hamiltonian. By using the su(1,1) Lie algebra, we analytically obtain the time-evolved wavefunctions after the quench, which allows us to investigate the evolution of entanglement in momentum space. We find that the expressions of wavefunctions, which describe the time-evolved paired states, can take different forms depending on the choice of Bogoliubov quasiparticles. Furthermore, we discuss the correspondence between the largest entanglement eigenvalue in momentum space and the wavefunction overlap in quench dynamics, extending the results of Dora et al (2016, Phys. Rev. Lett. 117, 010 603). We provide a numerical demonstration on an XXZ lattice model using the exact diagonalization method.