2016/06/09 by S. Porta, F. M. Gambetta, Filippo Maria Gambetta +6
Mathematics · Physics and Astronomy · #Adiabatic process #Canonical ensemble #Cold Atom Physics and Bose-Einstein Condensates #Hamiltonian (control theory) #Light cone #Mathematical analysis #Mathematics #Maxima and minima #Physics #Physics of Superconductivity and Magnetism #Quantum many-body systems #Quantum mechanics #Statistical physics #Thermodynamic equilibrium #Time evolution #Unitary state #cond-mat.quant-gas #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.94.085122
published as Phys. Rev. B 94, 085122 (2016) · 11 pages, 7 figures
arxiv created 2016/06/09 · openalex publication_date 2016/08/12 · arxiv updated 2016/08/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Using a Luttinger liquid theory we investigate the time evolution of the particle density of a one-dimensional fermionic system with open boundaries and subject to a finite duration quench of the interparticle interaction. We provide analytical and asymptotic solutions to the unitary time evolution of the system, showing that both switching on and switching off the quench ramp create light-cone perturbations in the density. The post-quench dynamics is strongly affected by the interference between these two perturbations. In particular, we find that the discrepancy between the time-dependent density and the one obtained by a generalized Gibbs ensemble picture vanishes with an oscillatory behavior as a function of the quench duration, with local minima corresponding to a perfect overlap of the two light-cone perturbations. For adiabatic quenches, we also obtain a similar behavior in the approach of the generalized Gibbs ensemble density towards the one associated with the ground state of the final Hamiltonian.