Mixed-state quantum geometry of dense two-color QCD matter
Abstract
We investigate an information-geometric approach to dense two-color QCD using thermal states defined as normalized Gibbs states in the two-flavor Nambu--Jona-Lasinio model at the mean-field level. The Bures metric and quantum Fisher information are constructed from thermal states associated with effective Bogoliubov--de Gennes Hamiltonians reproducing the mean-field quasiparticle spectrum. On the thermodynamic parameter manifold (T,μ), where T is temperature and μ is quark chemical potential, we analyze information-geometric quantities including the trace of the QFI matrix and the metric-volume density. The numerical results show pronounced enhancements of both quantities near the color-superconducting phase boundary, whereas only weaker signatures are observed across the chiral crossover. By contrast, neither observable exhibits a distinct feature associated with the BEC--BCS crossover.
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BibTeX
@misc{kashiwa2026mixedstate,
title = {{Mixed-state quantum geometry of dense two-color QCD matter}},
author = {Kouji Kashiwa and Riki Oshima and Hiroaki Kouno},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.04848},
eprint = {2610.04848},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.04848},
}
RIS
TY - UNPB
TI - Mixed-state quantum geometry of dense two-color QCD matter
AU - Kouji Kashiwa
AU - Riki Oshima
AU - Hiroaki Kouno
PY - 2026
DA - 2026/10/04
PB - arXiv
DO - 10.48550/arxiv.2610.04848
UR - https://arxiv.org/abs/2610.04848
AB - We investigate an information-geometric approach to dense two-color QCD using thermal states defined as normalized Gibbs states in the two-flavor Nambu--Jona-Lasinio model at the mean-field level. The Bures metric and quantum Fisher information are constructed from thermal states associated with effective Bogoliubov--de Gennes Hamiltonians reproducing the mean-field quasiparticle spectrum. On the thermodynamic parameter manifold (T,μ), where T is temperature and μ is quark chemical potential, we analyze information-geometric quantities including the trace of the QFI matrix and the metric-volume density. The numerical results show pronounced enhancements of both quantities near the color-superconducting phase boundary, whereas only weaker signatures are observed across the chiral crossover. By contrast, neither observable exhibits a distinct feature associated with the BEC--BCS crossover.
ER -