Bosonized one-dimensional quantum systems through enhanced event-chain Monte Carlo
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866908496053665792 |
|---|---|
| author | Bouverot-Dupuis, Oscar Rosso, Alberto Michel, Manon |
| author_facet | Bouverot-Dupuis, Oscar Rosso, Alberto Michel, Manon |
| contents | We design an enhanced Event-Chain Monte Carlo algorithm to study 1D quantum dissipative systems, using their bosonized representation. Expressing the bosonized Hamiltonian as a path integral over a scalar field enables the application of Monte Carlo algorithms developed for classical systems. Specifically, we focus on a dissipative XXZ spin chain, exhibiting critical slowing down, minima degeneracy and long-range interactions. Addressing all three bottlenecks, we design an algorithm that combines local persistent Event-Chain Monte Carlo moves with global cluster moves, in a O(1)-complexity implementation. Through systematic performance analysis, we show that such an algorithm outperforms traditional Metropolis algorithms by more than a magnitude factor and is competitive with current state-of-the-art Quantum Monte Carlo algorithms. We then use this approach to determine the dissipative spin chain's phase diagram, thereby reinforcing prior analytical predictions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_11577 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bosonized one-dimensional quantum systems through enhanced event-chain Monte Carlo Bouverot-Dupuis, Oscar Rosso, Alberto Michel, Manon Strongly Correlated Electrons Statistical Mechanics We design an enhanced Event-Chain Monte Carlo algorithm to study 1D quantum dissipative systems, using their bosonized representation. Expressing the bosonized Hamiltonian as a path integral over a scalar field enables the application of Monte Carlo algorithms developed for classical systems. Specifically, we focus on a dissipative XXZ spin chain, exhibiting critical slowing down, minima degeneracy and long-range interactions. Addressing all three bottlenecks, we design an algorithm that combines local persistent Event-Chain Monte Carlo moves with global cluster moves, in a O(1)-complexity implementation. Through systematic performance analysis, we show that such an algorithm outperforms traditional Metropolis algorithms by more than a magnitude factor and is competitive with current state-of-the-art Quantum Monte Carlo algorithms. We then use this approach to determine the dissipative spin chain's phase diagram, thereby reinforcing prior analytical predictions. |
| title | Bosonized one-dimensional quantum systems through enhanced event-chain Monte Carlo |
| topic | Strongly Correlated Electrons Statistical Mechanics |
| url | https://arxiv.org/abs/2503.11577 |