Schliemann, John and Laeuchli, Andreas M. (2012) Entanglement spectra of Heisenberg ladders of higher spin. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT: P11021. ISSN 1742-5468,
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We study the entanglement spectrum of Heisenberg spin ladders of arbitrary spin length S in the perturbative regime of strong rung coupling. For isotropic spin coupling the entanglement spectrum is, within first-order perturbation theory, always proportional to the energy spectrum of the single chain with a proportionality factor that is also independent of S. In particular, although the spin ladder possesses an excitation gap over its ground state for any spin length, the entanglement spectrum is gapless for half-integer S and gapful otherwise. A more complicated situation arises for anisotropic ladders of higher spin S >= 1 since here even the unperturbed ground state has a nontrivial entanglement spectrum. Finally we discuss related issues in dimerized spin chains.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | DENSITY-MATRIX; MODEL; BLOCK; CHAIN; spin chains; ladders and planes (theory); entanglement in extended quantum systems (theory) |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Chair Professor Grifoni > Group John Schliemann |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 04 May 2020 09:37 |
| Last Modified: | 04 May 2020 09:37 |
| URI: | https://pred.uni-regensburg.de/id/eprint/17833 |
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