1. String-charge duality in integrable lattice models
- Author
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Jacopo De Nardis, Enej Ilievski, Michael Brockmann, Eoin Quinn, Soft Condensed Matter (ITFA, IoP, FNWI), Faculty of Science, Other Research IHEF (IoP, FNWI), and IoP (FNWI)
- Subjects
High Energy Physics - Theory ,Statistics and Probability ,Physics ,Periodic matrix ,Statistical Mechanics (cond-mat.stat-mech) ,Integrable system ,No reference ,Deterministic dynamics ,FOS: Physical sciences ,Statistical and Nonlinear Physics ,Mathematical Physics (math-ph) ,01 natural sciences ,Spectral line ,010305 fluids & plasmas ,Spin chain ,High Energy Physics - Theory (hep-th) ,Maximal entropy ,Lattice (order) ,0103 physical sciences ,Statistics, Probability and Uncertainty ,010306 general physics ,Quantum ,Condensed Matter - Statistical Mechanics ,Mathematical Physics ,Mathematical physics - Abstract
We derive an explicit mapping between the spectra of conserved local operators of integrable quantum lattice models and the density distributions of their thermodynamic particle content. This is presented 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 analytic closed-form expressions in terms of solutions to Hirota functional relations. Remarkably, no reference to a maximal entropy principle is invoked., 18 pages + appendices, revised version as accepted by JSTAT
- Published
- 2016
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