# Exact out-of-equilibrium central spin dynamics from integrability

• Fioretto, Davide Department of Physics, University of Fribourg, Switzerland - Institute for Theoretical Physics, Universiteit van Amsterdam, The Netherlands
• Caux, Jean-Sébastien Institute for Theoretical Physics, Universiteit van Amsterdam, The Netherlands
• Gritsev, Vladimir Department of Physics, University of Fribourg, Switzerland - Institute for Theoretical Physics, Universiteit van Amsterdam, The Netherlands
01.04.2014
Published in:
• New Journal of Physics. - 2014, vol. 16, no. 4, p. 043024
English 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 $SU\left( 2 \right)$ 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.
Faculty
Faculté des sciences
Department
Physique
Language
• English
Classification
Physics