Universal dynamics of a soliton after an interaction quench

DOI10.1088/1751-8113/48/28/28FT01zbMath1327.35333arXiv1408.3618MaRDI QIDQ5499990

Fabio Franchini, Andrea Trombettoni, Manas Kulkarni, Andrey Gromov

Publication date: 5 August 2015

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.3618

zbMATH Keywords

soliton dynamicsGross-Pitaevskiinonlinear Schrodinger equationquantum quench

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Quantum optics (81V80) NLS equations (nonlinear Schrödinger equations) (35Q55) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Soliton equations (35Q51) Groups and algebras in quantum theory and relations with integrable systems (81R12) Coherent states (81R30) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lie algebras and Lie superalgebras (17Bxx)

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Duality in a hyperbolic interaction model integrable even in a strong confinement: multi-soliton solutions and field theory ⋮ Equilibration in one-dimensional quantum hydrodynamic systems ⋮ Emergence of the Calogero family of models in external potentials: duality, solitons and hydrodynamics ⋮ From locality to irregularity: introducing local quenches in massive scalar field theory ⋮ Some connections between the classical Calogero-Moser model and the log-gas

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