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Nonequilibrium full counting statistics of multicomponent strongly-interacting quantum gases with defects

  • Ovidiu I. Patu
  • Oleksandr Gamayun
  • Catalin Pascu Moca
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Abstract

We investigate the full counting statistics of a one-dimensional multicomponent impenetrable gas released from a bipartite state in the presence of a local defect. Spin--charge separation reduces the multivariate generating function to an exact Fredholm determinant whose kernel is built from time-evolved single-particle orbitals. Expressing these orbitals in terms of scattering data gives access to both transient dynamics and the nonequilibrium steady state. We derive the leading long-time asymptotics and identify persistent oscillations in densities and currents caused by multiple bound states at the junction. We argue that interactions between components lead to a linear low-temperature correction to the current, in contrast to the quadratic correction in the single-component case. At equilibrium, we obtain the M-Wright distribution of spin transfer with t1/4 scaling.

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Cite

BibTeXRIS
BibTeX
@misc{patu2026nonequilibrium,
  title = {{Nonequilibrium full counting statistics of multicomponent strongly-interacting quantum gases with defects}},
  author = {Ovidiu I. Patu and Oleksandr Gamayun and Catalin Pascu Moca},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.07146},
  eprint = {2609.07146},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.07146},
}
RIS
TY  - UNPB
TI  - Nonequilibrium full counting statistics of multicomponent strongly-interacting quantum gases with defects
AU  - Ovidiu I. Patu
AU  - Oleksandr Gamayun
AU  - Catalin Pascu Moca
PY  - 2026
DA  - 2026/09/07
PB  - arXiv
DO  - 10.48550/arxiv.2609.07146
UR  - https://arxiv.org/abs/2609.07146
AB  - We investigate the full counting statistics of a one-dimensional multicomponent impenetrable gas released from a bipartite state in the presence of a local defect. Spin--charge separation reduces the multivariate generating function to an exact Fredholm determinant whose kernel is built from time-evolved single-particle orbitals. Expressing these orbitals in terms of scattering data gives access to both transient dynamics and the nonequilibrium steady state. We derive the leading long-time asymptotics and identify persistent oscillations in densities and currents caused by multiple bound states at the junction. We argue that interactions between components lead to a linear low-temperature correction to the current, in contrast to the quadratic correction in the single-component case. At equilibrium, we obtain the M-Wright distribution of spin transfer with t^1/4 scaling.
ER  -