Exact out-of-equilibrium central spin dynamics from integrability
| Authors |
|
|---|---|
| Publication date | 2014 |
| Journal | New Journal of Physics |
| Volume | Issue number | 16 |
| Pages (from-to) | 043024 |
| Number of pages | 17 |
| Organisations |
|
| 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 $SU\left( 2 \right)$ 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. |
| Document type | Article |
| Language | English |
| Published at | https://doi.org/10.1088/1367-2630/16/4/043024 |
| Downloads |
Exact out-of-equilibrium central spin dynamics
(Final published version)
|
| Permalink to this page | |