2014/08/31 by Fabio Franchini, Andrey Gromov, Manas Kulkarni +1 · 1 citation
Mathematics · Physics and Astronomy · #Class (philosophy) #Dynamics (music) #Excited state #Integrable system #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Quantum #Quantum Mechanics and Non-Hermitian Physics #Quantum dynamics #Quantum system #Soliton #cond-mat.quant-gas #cond-mat.str-el #math-ph #math.MP #nlin.PS
paper · pdf · doi:10.1088/1751-8113/48/28/28ft01
published as J. Phys. A: Math. Theor. 48 (2015) 28FT01 · Version accepted by JPA, 7 pages, 4 figures
openalex publication_date 2015/06/25 · arxiv created 2016/03/09 · arxiv updated 2016/03/10 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We propose a new type of experimentally feasible quantum quench protocol in which a quantum system is prepared in a coherent, localized excited state of a Hamiltonian. During the evolution of this solitonic excitation, the microscopic interaction is suddenly changed. We study the dynamics of solitons after this interaction quench for a wide class of systems using a hydrodynamic approach. We find that the post-quench dynamics is universal at short times, i.e. it does not depend on the microscopic details of the physical system. Numerical support for these results is presented using generalized non-linear Schroedinger equation, relevant for the implementation of the proposed protocol with ultracold bosons, as well as for the integrable Calogero model in harmonic potential. Finally, it is shown that the effects of integrability breaking by a parabolic potential and by a power-law non-linearity do not change the universality of the short-time dynamics.