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PreprintCC BY 4.0arXiv

Decoherence of the pair entangled states at thermalization and interparticle interaction. Heisenberg--Wigner path integral Monte Carlo simulations

  • V. S. Filinov
  • P. R. Levashov
  • A. S. Larkin
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Abstract

For deeper understanding of quantum non-local correlations a new path integral real-time quantum dynamics approach has been developed and applied to the Monte Carlo simulation of the decoherence of pair entangled states in many-body systems in the framework of the ``replica trick''. Calculations have been carried out for the Heisenberg-Wigner path integral representation of the entangled state correlation function (ESCF) in the modified unified electron gas model as example. The Wiener-Khinchin transformation of ESCF has been applied to random paths in path integral allowing for the Monte Carlo simulation of ESCF. Presented results include the spin-resolved radial distribution functions, ESCFs and estimations of the decoherence time of the entangled electron pairs due to thermalization and interparticle interaction.

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Cite

BibTeXRIS
BibTeX
@misc{filinov2026decoherence,
  title = {{Decoherence of the pair entangled states at thermalization and interparticle interaction. Heisenberg--Wigner path integral Monte Carlo simulations}},
  author = {V. S. Filinov and P. R. Levashov and A. S. Larkin},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.26033},
  eprint = {2610.26033},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.26033},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Decoherence of the pair entangled states at thermalization and interparticle interaction. Heisenberg--Wigner path integral Monte Carlo simulations
AU  - V. S. Filinov
AU  - P. R. Levashov
AU  - A. S. Larkin
PY  - 2026
DA  - 2026/10/19
PB  - arXiv
DO  - 10.48550/arxiv.2610.26033
UR  - https://arxiv.org/abs/2610.26033
AB  - For deeper understanding of quantum non-local correlations a new path integral real-time quantum dynamics approach has been developed and applied to the Monte Carlo simulation of the decoherence of pair entangled states in many-body systems in the framework of the ``replica trick''. Calculations have been carried out for the Heisenberg-Wigner path integral representation of the entangled state correlation function (ESCF) in the modified unified electron gas model as example. The Wiener-Khinchin transformation of ESCF has been applied to random paths in path integral allowing for the Monte Carlo simulation of ESCF. Presented results include the spin-resolved radial distribution functions, ESCFs and estimations of the decoherence time of the entangled electron pairs due to thermalization and interparticle interaction.
ER  -