Bold diagrammatic Monte Carlo: A generic technique for polaron (and many-body?) problems
| dc.creator | Prokof'ev, Nikolay | |
| dc.creator | Svistunov, Boris | |
| dc.date | 2008-01-07 | |
| dc.date.accessioned | 2026-07-07T08:52:55Z | |
| dc.date.available | 2026-07-07T08:52:55Z | |
| dc.description | We develop a Monte Carlo scheme for sampling series of Feynman diagrams for the proper self-energy which are self-consistently expressed in terms of renormalized particle propagators. This approach is used to solve the problem of a single spin-down fermion resonantly interacting with the Fermi gas of spin-up particles. Though the original series based on bare propagators are sign-alternating and divergent one can still determine the answer behind them by using two strategies (separately or together): (i) using proper series re-summation techniques, and (ii) introducing renormalized propagators which are defined in terms of the simulated proper self-energy, i.e. making the entire scheme self-consistent. Our solution is important for understanding the phase diagram and properties of the BCS-BEC crossover in the strongly imbalanced regime. On the technical side, we develop a generic sign-problem tolerant method for exact numerical solution of polaron-type models, and, possibly, of the interacting many-body Hamiltonians. | |
| dc.description | 15 pages, 15 figures, revtex4 | |
| dc.identifier | https://arxiv.org/abs/0801.0911 | |
| dc.identifier | http://arxiv.org/abs/0801.0911 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/145442 | |
| dc.subject | Strongly Correlated Electrons | |
| dc.title | Bold diagrammatic Monte Carlo: A generic technique for polaron (and many-body?) problems | |
| dc.type | text |