a numerical study of the - cpb-ap-se2.wpmucdn.com · 1/6 a numerical study of the f-model with...
TRANSCRIPT
![Page 1: A numerical study of the - cpb-ap-se2.wpmucdn.com · 1/6 A numerical study of the F-model with domain walls Jules Lamers joint work with Rick Keesman (Utrecht U) arXiv:1702.05474](https://reader033.vdocuments.us/reader033/viewer/2022052101/603adc267c26094c121af341/html5/thumbnails/1.jpg)
1/6
A numerical study of theF-model with domain walls
Jules Lamersjoint work withRick Keesman
(Utrecht U)
arXiv:1702.05474
![Page 2: A numerical study of the - cpb-ap-se2.wpmucdn.com · 1/6 A numerical study of the F-model with domain walls Jules Lamers joint work with Rick Keesman (Utrecht U) arXiv:1702.05474](https://reader033.vdocuments.us/reader033/viewer/2022052101/603adc267c26094c121af341/html5/thumbnails/2.jpg)
2/6
The F-model with domain walls
arrow configurationson the edges of
ice rule “two in, two out”
4x : + rotated
2x :
six-vertex model
entropy dominates:disordered phase
energy dominates:“anti-ferroelectric”
energy
F-model
![Page 3: A numerical study of the - cpb-ap-se2.wpmucdn.com · 1/6 A numerical study of the F-model with domain walls Jules Lamers joint work with Rick Keesman (Utrecht U) arXiv:1702.05474](https://reader033.vdocuments.us/reader033/viewer/2022052101/603adc267c26094c121af341/html5/thumbnails/3.jpg)
3/6
Quick facts about
● Related to scalar products in QISM● Applications range from combinatorics
to correlation functions in N = 4 SYM● Quantum integrable
– determinant expression for– exact free energy; finite-size corrections
● Boundary conditions influence thermodynamics!
[Korepin] [Slavnov]
[Kuperberg] [...]
[Foda] [Kostov et al]
[Izergin]
[Korepin Zinn-Justin][Bleher et al]
![Page 4: A numerical study of the - cpb-ap-se2.wpmucdn.com · 1/6 A numerical study of the F-model with domain walls Jules Lamers joint work with Rick Keesman (Utrecht U) arXiv:1702.05474](https://reader033.vdocuments.us/reader033/viewer/2022052101/603adc267c26094c121af341/html5/thumbnails/4.jpg)
4/6
Check of known features:phase coexistence & arctic curves [Colomo Pronko
Zinn-Justin]
![Page 5: A numerical study of the - cpb-ap-se2.wpmucdn.com · 1/6 A numerical study of the F-model with domain walls Jules Lamers joint work with Rick Keesman (Utrecht U) arXiv:1702.05474](https://reader033.vdocuments.us/reader033/viewer/2022052101/603adc267c26094c121af341/html5/thumbnails/5.jpg)
5/6
New features: oscillations
![Page 6: A numerical study of the - cpb-ap-se2.wpmucdn.com · 1/6 A numerical study of the F-model with domain walls Jules Lamers joint work with Rick Keesman (Utrecht U) arXiv:1702.05474](https://reader033.vdocuments.us/reader033/viewer/2022052101/603adc267c26094c121af341/html5/thumbnails/6.jpg)
6/6
Outlook
● Six-vertex model with domain walls allowsfor exact results, yet a lot remains to be explored
● Other boundaries, e.g. reflecting end? [in progress]● Analytic understanding of oscillations?● Solid-on-solid models?
arXiv:1702.05474
![Page 7: A numerical study of the - cpb-ap-se2.wpmucdn.com · 1/6 A numerical study of the F-model with domain walls Jules Lamers joint work with Rick Keesman (Utrecht U) arXiv:1702.05474](https://reader033.vdocuments.us/reader033/viewer/2022052101/603adc267c26094c121af341/html5/thumbnails/7.jpg)
7/6
Vertex-density oscillations along diagonal