Geometric quenches in quantum integrable systems

Abstract

We consider the generic problem of suddenly changing the geometry of an\nintegrable, one-dimensional many-body quantum system. We show how the physics\nof an initial quantum state released into a bigger system can be completely\ndescribed within the framework of the Algebraic Bethe Ansatz, by providing an\nexact decomposition of the initial state into the eigenstate basis of the\nsystem after such a geometric quench. Our results, applicable to a large class\nof models including the Lieb-Liniger gas and Heisenberg spin chains, thus offer\na reliable framework for the calculation of time-dependent expectation values\nand correlations in this nonequilibrium situation.\n