Information geometry of quantum critical submanifolds: relevant, marginal and irrelevant operators
| Autor: | Bruno Mera, Nikola Paunković, Syed Tahir Amin, Vítor R. Vieira |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: |
High Energy Physics - Theory
Quantum Physics High Energy Physics - Theory (hep-th) Condensed Matter - Mesoscale and Nanoscale Physics Quantum Gases (cond-mat.quant-gas) Mesoscale and Nanoscale Physics (cond-mat.mes-hall) FOS: Physical sciences Mathematical Physics (math-ph) Quantum Physics (quant-ph) Condensed Matter - Quantum Gases Mathematical Physics |
| Popis: | We analyze the thermodynamical limit of the quantum metric along critical submanifolds of theory space. Building upon various results previously known in the literature, we relate its singular behavior to normal directions, which are naturally associated with relevant operators in the renormalization group sense. We formulate these results in the language of information theory and differential geometry. We exemplify our theory through the paradigmatic examples of the XY and Haldane models, where the normal directions to the critical submanifolds are seen to be precisely those along which the metric has singular behavior, while for the tangent ones it vanishes -- these directions lie in the kernel of the metric. 12 pages (including Appendix), 2 figures; closer to published version |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|