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Nonequilibrium Dirac condensate in bosonic Kitaev chain
Abstract
We explore a nonequilibrium Bose-Einstein condensate (BEC) in a bosonic Kitaev chain. Within a mean-field framework, we show that bosonic superfluid order develops once the pairing strength exceeds a critical threshold. The condensate order parameter adopts an alternating phase between even and odd sites, giving rise to a spontaneous sublattice ordering. By mapping the emergent sublattice degrees of freedom onto a pseudospin, the elementary Bogoliubov excitation is described by a non-Hermitian Dirac Hamiltonian, displaying two prominent features: a re-entrant bosonic Andreev bound state localized around boundaries, and a macroscopic degeneracy of exceptional Majorana bosons at the critical point.
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BibTeX
@misc{yamamoto2026nonequilibrium,
title = {{Nonequilibrium Dirac condensate in bosonic Kitaev chain}},
author = {Kazuki Yamamoto and Youichi Yanase},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.29082},
eprint = {2609.29082},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.29082},
}
RIS
TY - UNPB
TI - Nonequilibrium Dirac condensate in bosonic Kitaev chain
AU - Kazuki Yamamoto
AU - Youichi Yanase
PY - 2026
DA - 2026/09/24
PB - arXiv
DO - 10.48550/arxiv.2609.29082
UR - https://arxiv.org/abs/2609.29082
AB - We explore a nonequilibrium Bose-Einstein condensate (BEC) in a bosonic Kitaev chain. Within a mean-field framework, we show that bosonic superfluid order develops once the pairing strength exceeds a critical threshold. The condensate order parameter adopts an alternating phase between even and odd sites, giving rise to a spontaneous sublattice ordering. By mapping the emergent sublattice degrees of freedom onto a pseudospin, the elementary Bogoliubov excitation is described by a non-Hermitian Dirac Hamiltonian, displaying two prominent features: a re-entrant bosonic Andreev bound state localized around boundaries, and a macroscopic degeneracy of exceptional Majorana bosons at the critical point.
ER -