String-charge duality in integrable lattice models

Ilievski, Enej; Quinn, Eoin; De Nardis, Jacopo; Brockmann, Michael

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

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String-charge duality in integrable lattice models

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Brockmann, Michael
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Citation

Ilievski, E., Quinn, E., De Nardis, J., & Brockmann, M. (2016). String-charge duality in integrable lattice models. Journal of Statistical Mechanics: Theory and Experiment, 063101. doi:10.1088/1742-5468/2016/06/063101.

Cite as: https://hdl.handle.net/11858/00-001M-0000-002B-A14B-3

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.