Out-of-equilibrium density dynamics of a spinful Luttinger liquid

Gambetta, Filippo Maria and Porta, Sergio (2017) Out-of-equilibrium density dynamics of a spinful Luttinger liquid. Il nuovo cimento C, 40 (2). pp. 1-10. ISSN 1826-9885

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Abstract

Using a Luttinger liquid theory we investigate the time evolution of the particle density of a one-dimensional spinful fermionic system with open boundaries and subject to a finite-duration quench of the inter-particle interaction. Taking into account also the turning on of an umklapp perturbation to the system Hamiltonian as a result of the quench, we study the possible formation of a Wigner molecule inside the system, focusing in particular on the sudden and adiabatic regimes. We show that the creation of this correlated state is essentially due to the propagation of “light-cone” perturbations through the system which arise after both switching on and switching off the quenching protocol, and that its behavior strongly depends on the quench duration.

Item Type: Article
Subjects: 500 Scienze naturali e Matematica > 530 Fisica
Depositing User: Marina Spanti
Date Deposited: 17 Nov 2020 09:38
Last Modified: 17 Nov 2020 09:38
URI: http://eprints.bice.rm.cnr.it/id/eprint/19901

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