Bethe ansatz approach to quench dynamics in the Richardson model

DOI10.1063/1.3183720zbMath1248.82024arXiv0908.1675OpenAlexW2134954957MaRDI QIDQ3583592

Alexandre Faribault, Pasquale Calabrese, J.-S. Caux

Publication date: 17 August 2010

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

Full work available at URL: https://arxiv.org/abs/0908.1675

zbMATH Keywords

integral equationsHilbert spacesSchrödinger equationeigenvalues and eigenfunctionsFermion systems

Mathematics Subject Classification ID

Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10)

Related Items (11)

Bethe Ansatz approach to the pairing fluctuations in the mesoscopic regime ⋮ Scaling approach to quantum non-equilibrium dynamics of many-body systems ⋮ Quench dynamics of a Tonks–Girardeau gas released from a harmonic trap ⋮ Stationary entanglement entropies following an interaction quench in 1D Bose gas ⋮ Quench action approach for releasing the Néel state into the spin-1/2 XXZ chain ⋮ Analytical expression for a post-quench time evolution of the one-body density matrix of one-dimensional hard-core bosons ⋮ Quantum quench in the attractive regime of the sine-Gordon model ⋮ Quantum quench in the infinitely repulsive Hubbard model: the stationary state ⋮ Exact solution for the quench dynamics of a nested integrable system ⋮ Rényi entropies of generic thermodynamic macrostates in integrable systems ⋮ Entanglement entropy of excited states

Cites Work

• Colloquium: Exactly solvable Richardson-Gaudin models for many-body quantum systems
• Algebraic Bethe ansatz method for the exact calculation of energy spectra and form factors: applications to models of Bose Einstein condensates and metallic nanograins
• Theory of Superconductivity

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