We propose exact results for the full counting statistics, or the scaled cumulant generating function, pertaining to the transfer of arbitrary conserved quantities across an interface in homogeneous integrable models out of equilibrium. We do this by combining insights from generalised hydrodynamics with a theory of large deviations in ballistic transport. The results are applicable to a wide variety of physical systems, including the Lieb-Liniger gas and the Heisenberg chain. We confirm the predictions in non-equilibrium steady states obtained by the partitioning protocol, by comparing with Monte Carlo simulations of this protocol in the classical hard rod gas. We verify numerically that the exact results obey the correct non-equilibrium fluctuation relations with the appropriate initial conditions.
Cited by 1
Márton Mestyán et al., Molecular dynamics simulation of entanglement spreading in generalized hydrodynamics
SciPost Phys. 8, 055 (2020) [Crossref]
Ontology / TopicsSee full Ontology or Topics database.
Authors / Affiliations: mappings to Contributors and OrganizationsSee all Organizations.
- 1 Jason Myers,
- 1 Joe Bhaseen,
- 2 Rosemary J. Harris,
- 1 Benjamin Doyon
- Engineering and Physical Sciences Research Council [EPSRC]
- Erwin Schrödinger International Institute for Mathematics and Physics [ESI]
- Gouvernement du Canada / Government of Canada
- Leverhulme Trust
- Ministry of Research and Innovation (Canada, Ontario, Min Res&Innov) (through Organization: Ministry of Research, Innovation and Science - Ontario [MRIS])
- Thomas Young Centre / Thomas Young Centre [TYC]
- École Normale Supérieure [ENS]