Work

String-charge duality in integrable lattice models

Year: 2016

Type: article

Abstract: . We present an identification of the spectra of local conserved operators of integrable quantum lattice models and the density distributions of their thermodynamic particle content. This is derived explicitly for the Heisenberg XXZ spin chain. As an application we discuss a quantum quench scenario, in both the gapped and critical regimes. We outline an exact technique which allows for an efficient implementation on periodic matrix product states. In addition, for certain simple product states we obtain closed-form expressions for the density distributions in terms of solutions to Hirota difference equations. Remarkably, no reference to a maximal entropy principle is invoked.

Source: Journal of Statistical Mechanics Theory and Experiment

DOI: 10.1088/1742-5468/2016/06/063101

Authors: Enej Ilievski, Eoin Quinn, Jacopo De Nardis, Michael Brockmann

Institutions: University of Amsterdam, Laboratoire de Physique Théorique, Max Planck Institute for the Physics of Complex Systems

Language: English

Topic: Quantum many-body systems

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: bronze

Funders: Agence Nationale de la Recherche, Universiteit van Amsterdam

Award: ENS- International Center for Fundamental Physics and its interfaces