Annealing dynamics of regular rotor networks: Universality and its breakdown
The spin-vector Monte Carlo model is widely used as a benchmark for the classicality of quantum annealers but severely restricts the time evolution. The spin-vector Langevin (SVL) model has been proposed and tested as an alternative, closely reproducing the real-time dynamics of physical quantum ann...
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| Format: | Article |
| Language: | English |
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American Physical Society
2025-02-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.7.013123 |
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| author | András Grabarits Gaetano Sammartino Adolfo del Campo |
| author_facet | András Grabarits Gaetano Sammartino Adolfo del Campo |
| author_sort | András Grabarits |
| collection | DOAJ |
| description | The spin-vector Monte Carlo model is widely used as a benchmark for the classicality of quantum annealers but severely restricts the time evolution. The spin-vector Langevin (SVL) model has been proposed and tested as an alternative, closely reproducing the real-time dynamics of physical quantum annealers such as D-Wave machines in the dissipative regime. We investigate the SVL annealing dynamics of classical O(2) rotors on regular graphs, identifying universal features in the nonequilibrium dynamics when changing the range of interactions and the topology of the graph. Regular graphs with low connectance or edge density exhibit universal scaling dynamics consistent with the Kibble-Zurek mechanism, which leads to a power-law dependence of the density of defects and the residual energy as a function of the annealing time. As the interaction range is increased, the power-law scaling is suppressed, and an exponential scaling with the annealing time sets in. Our results establish a universal breakdown of the Kibble-Zurek mechanism in classical systems characterized by long-range interactions, in sharp contrast with previous findings in the quantum domain. |
| format | Article |
| id | doaj-art-a26f04ae30164772afae77ef6c14c1ca |
| institution | Kabale University |
| issn | 2643-1564 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj-art-a26f04ae30164772afae77ef6c14c1ca2025-02-03T15:20:18ZengAmerican Physical SocietyPhysical Review Research2643-15642025-02-017101312310.1103/PhysRevResearch.7.013123Annealing dynamics of regular rotor networks: Universality and its breakdownAndrás GrabaritsGaetano SammartinoAdolfo del CampoThe spin-vector Monte Carlo model is widely used as a benchmark for the classicality of quantum annealers but severely restricts the time evolution. The spin-vector Langevin (SVL) model has been proposed and tested as an alternative, closely reproducing the real-time dynamics of physical quantum annealers such as D-Wave machines in the dissipative regime. We investigate the SVL annealing dynamics of classical O(2) rotors on regular graphs, identifying universal features in the nonequilibrium dynamics when changing the range of interactions and the topology of the graph. Regular graphs with low connectance or edge density exhibit universal scaling dynamics consistent with the Kibble-Zurek mechanism, which leads to a power-law dependence of the density of defects and the residual energy as a function of the annealing time. As the interaction range is increased, the power-law scaling is suppressed, and an exponential scaling with the annealing time sets in. Our results establish a universal breakdown of the Kibble-Zurek mechanism in classical systems characterized by long-range interactions, in sharp contrast with previous findings in the quantum domain.http://doi.org/10.1103/PhysRevResearch.7.013123 |
| spellingShingle | András Grabarits Gaetano Sammartino Adolfo del Campo Annealing dynamics of regular rotor networks: Universality and its breakdown Physical Review Research |
| title | Annealing dynamics of regular rotor networks: Universality and its breakdown |
| title_full | Annealing dynamics of regular rotor networks: Universality and its breakdown |
| title_fullStr | Annealing dynamics of regular rotor networks: Universality and its breakdown |
| title_full_unstemmed | Annealing dynamics of regular rotor networks: Universality and its breakdown |
| title_short | Annealing dynamics of regular rotor networks: Universality and its breakdown |
| title_sort | annealing dynamics of regular rotor networks universality and its breakdown |
| url | http://doi.org/10.1103/PhysRevResearch.7.013123 |
| work_keys_str_mv | AT andrasgrabarits annealingdynamicsofregularrotornetworksuniversalityanditsbreakdown AT gaetanosammartino annealingdynamicsofregularrotornetworksuniversalityanditsbreakdown AT adolfodelcampo annealingdynamicsofregularrotornetworksuniversalityanditsbreakdown |