Complex path simulations of geometrically frustrated ladders
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2023
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866909233322131456 |
|---|---|
| author | Cohen, Elyasaf Y. Alexandru, Andrei Gazit, Snir |
| author_facet | Cohen, Elyasaf Y. Alexandru, Andrei Gazit, Snir |
| contents | Quantum systems with geometrical frustration remain an outstanding challenge for numerical simulations due to the infamous numerical sign problem. Here, we overcome this obstruction via complex path integration in a geometrically frustrated ladder of interacting bosons at finite density. This enables studies of the many-body ground state properties, otherwise inaccessible with standard quantum Monte Carlo methods. Specifically, we study a chemical potential tuned quantum phase transition, along which we track the emergence of quasi-long-range order and critical softening of the single particle gap. We chart future methodological improvements and applications in generalized geometrically frustrated lattice models. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_10935 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Complex path simulations of geometrically frustrated ladders Cohen, Elyasaf Y. Alexandru, Andrei Gazit, Snir Strongly Correlated Electrons High Energy Physics - Lattice Quantum systems with geometrical frustration remain an outstanding challenge for numerical simulations due to the infamous numerical sign problem. Here, we overcome this obstruction via complex path integration in a geometrically frustrated ladder of interacting bosons at finite density. This enables studies of the many-body ground state properties, otherwise inaccessible with standard quantum Monte Carlo methods. Specifically, we study a chemical potential tuned quantum phase transition, along which we track the emergence of quasi-long-range order and critical softening of the single particle gap. We chart future methodological improvements and applications in generalized geometrically frustrated lattice models. |
| title | Complex path simulations of geometrically frustrated ladders |
| topic | Strongly Correlated Electrons High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2302.10935 |