| dc.creator | Ares, Filiberto | |
| dc.creator | Viti, Jacopo | |
| dc.date | 2020-10-07T19:51:03Z | |
| dc.date | 2020-10-07T19:51:03Z | |
| dc.date | 2020-01-20 | |
| dc.identifier | ARES, Filiberto; VITI, Jacopo. Emptiness formation probability and Painlevé V equation in the XY spin chain. Journal Of Statistical Mechanics: Theory and Experiment, [S.L.], v. 2020, n. 1, p. 013105, 20 jan. 2020. Disponível em: https://iopscience.iop.org/article/10.1088/1742-5468/ab5d0b. Acesso em: 11 ago. 2020. http://dx.doi.org/10.1088/1742-5468/ab5d0b | |
| dc.identifier | 1742-5468 | |
| dc.identifier | https://repositorio.ufrn.br/handle/123456789/30311 | |
| dc.identifier | 10.1088/1742-5468/ab5d0b | |
| dc.description | We reconsider the problem of finding Lconsecutive down spins in the ground state of the XY chain, a quantity known as the Emptiness Formation Probability. Motivated by new developments in the asymptotics of Toeplitz
determinants, we show how the crossover between the critical and o-critical behaviour of the emptiness formation probability is exactly described by a τfunction of a PainlevéV equation. Following a recent proposal, we also provide a power series expansion for the τfunction in terms of irregular conformal blocks of a conformal field theory with central charge c = 1. Our results are tested against lattice numerical calculations, showing excellent agreement. We finally discuss the free fermion case where the emptiness formation probability
is characterized by a Gaussian decay for large L | |
| dc.language | en | |
| dc.publisher | IOP Publishing Ltd and SISSA Medialab srl | |
| dc.subject | Conformal field theory | |
| dc.subject | Integrable spin chains and vertex models | |
| dc.subject | Painlevé equations | |
| dc.subject | Spin chains | |
| dc.subject | ladders and planes | |
| dc.title | Emptiness formation probability and PainlevéV equation in the XY spin chain | |
| dc.type | article | |
