Exact out-of-equilibrium central spin dynamics from integrability

Abstract

We consider a Gaudin magnet (central spin model) with a time-dependent exchange couplings. We explicitly show that the Schrödinger equation is analytically solvable in terms of generalized hypergeometric functions for particular choices of the time dependence of the coupling constants. Our method establishes a new link between this system and the SU(2) Wess-Zumino-Witten model, and sheds new light on the implications of integrability in out-of-equilibrium quantum physics. As an application, a driven four-spin system is studied in detail.

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Cited by in corpus (10)

• Integrable Floquet dynamics
• Integrable time-dependent quantum Hamiltonians
• Relaxation dynamics of local observables in integrable systems
• Integrable time-dependent Hamiltonians, solvable Landau-Zener models and Gaudin magnets
• A large class of solvable multistate Landau-Zener models and quantum integrability
• Quantum nonequilibrium dynamics from Knizhnik-Zamolodchikov equations
• Time dynamics of Bethe ansatz solvable models
• Nonlocality as the source of purely quantum dynamics of BCS superconductors
• Knizhnik-Zamolodchikov equations and integrable hyperbolic Landau-Zener models
• A map between time-dependent and time-independent quantum many-body Hamiltonians