Quantum quench dynamics of geometrically frustrated Ising models
Abstract Geometric frustration in two-dimensional Ising models allows for a wealth of exotic universal behavior, both Ising and non-Ising, in the presence of quantum fluctuations. In particular, the triangular antiferromagnet and Villain model in a transverse field can be understood through distinct...
Saved in:
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Nature Portfolio
2024-12-01
|
| Series: | Nature Communications |
| Online Access: | https://doi.org/10.1038/s41467-024-54701-4 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1841559306507386880 |
|---|---|
| author | Ammar Ali Hanjing Xu William Bernoudy Alberto Nocera Andrew D. King Arnab Banerjee |
| author_facet | Ammar Ali Hanjing Xu William Bernoudy Alberto Nocera Andrew D. King Arnab Banerjee |
| author_sort | Ammar Ali |
| collection | DOAJ |
| description | Abstract Geometric frustration in two-dimensional Ising models allows for a wealth of exotic universal behavior, both Ising and non-Ising, in the presence of quantum fluctuations. In particular, the triangular antiferromagnet and Villain model in a transverse field can be understood through distinct XY pseudospins, but have qualitatively similar phase diagrams including a quantum phase transition in the (2+1)-dimensional XY universality class. While the quantum dynamics of modestly-sized systems can be simulated classically using tensor-based methods, these methods become infeasible for larger lattices. Here we perform both classical and quantum simulations of these dynamics, where our quantum simulator is a superconducting quantum annealer. Our observations on the triangular lattice suggest that the dominant quench dynamics are not described by the quantum Kibble-Zurek scaling of the quantum phase transition, but rather a faster coarsening dynamics in an effective two-dimensional XY model in the ordered phase. Similarly, on the Villain model, the scaling exponent does not match the Kibble-Zurek expectation. These results demonstrate the ability of quantum annealers to perform coherent quantum dynamics simulations that are hard to classically scale beyond small systems, and open the avenue to predictive simulations of the dynamics of Ising magnetic materials on quantum simulators. |
| format | Article |
| id | doaj-art-a977800d6d7a40dd84e62f0a600c46d9 |
| institution | Kabale University |
| issn | 2041-1723 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Nature Communications |
| spelling | doaj-art-a977800d6d7a40dd84e62f0a600c46d92025-01-05T12:35:26ZengNature PortfolioNature Communications2041-17232024-12-011511910.1038/s41467-024-54701-4Quantum quench dynamics of geometrically frustrated Ising modelsAmmar Ali0Hanjing Xu1William Bernoudy2Alberto Nocera3Andrew D. King4Arnab Banerjee5Department of Physics and Astronomy, Purdue UniversityDepartment of Computer Science, Purdue UniversityD-Wave Quantum Inc.Stewart Blusson Quantum Matter Institute, University of British ColumbiaD-Wave Quantum Inc.Department of Physics and Astronomy, Purdue UniversityAbstract Geometric frustration in two-dimensional Ising models allows for a wealth of exotic universal behavior, both Ising and non-Ising, in the presence of quantum fluctuations. In particular, the triangular antiferromagnet and Villain model in a transverse field can be understood through distinct XY pseudospins, but have qualitatively similar phase diagrams including a quantum phase transition in the (2+1)-dimensional XY universality class. While the quantum dynamics of modestly-sized systems can be simulated classically using tensor-based methods, these methods become infeasible for larger lattices. Here we perform both classical and quantum simulations of these dynamics, where our quantum simulator is a superconducting quantum annealer. Our observations on the triangular lattice suggest that the dominant quench dynamics are not described by the quantum Kibble-Zurek scaling of the quantum phase transition, but rather a faster coarsening dynamics in an effective two-dimensional XY model in the ordered phase. Similarly, on the Villain model, the scaling exponent does not match the Kibble-Zurek expectation. These results demonstrate the ability of quantum annealers to perform coherent quantum dynamics simulations that are hard to classically scale beyond small systems, and open the avenue to predictive simulations of the dynamics of Ising magnetic materials on quantum simulators.https://doi.org/10.1038/s41467-024-54701-4 |
| spellingShingle | Ammar Ali Hanjing Xu William Bernoudy Alberto Nocera Andrew D. King Arnab Banerjee Quantum quench dynamics of geometrically frustrated Ising models Nature Communications |
| title | Quantum quench dynamics of geometrically frustrated Ising models |
| title_full | Quantum quench dynamics of geometrically frustrated Ising models |
| title_fullStr | Quantum quench dynamics of geometrically frustrated Ising models |
| title_full_unstemmed | Quantum quench dynamics of geometrically frustrated Ising models |
| title_short | Quantum quench dynamics of geometrically frustrated Ising models |
| title_sort | quantum quench dynamics of geometrically frustrated ising models |
| url | https://doi.org/10.1038/s41467-024-54701-4 |
| work_keys_str_mv | AT ammarali quantumquenchdynamicsofgeometricallyfrustratedisingmodels AT hanjingxu quantumquenchdynamicsofgeometricallyfrustratedisingmodels AT williambernoudy quantumquenchdynamicsofgeometricallyfrustratedisingmodels AT albertonocera quantumquenchdynamicsofgeometricallyfrustratedisingmodels AT andrewdking quantumquenchdynamicsofgeometricallyfrustratedisingmodels AT arnabbanerjee quantumquenchdynamicsofgeometricallyfrustratedisingmodels |