3 papers
cond-mat.dis-nn2026
Clustered Attractor Manifolds and Dynamical Condensation in Self-Attention
Qucheng Gao, Zuyi Yang, Xiao Chen
Transformer layers generate state-dependent interaction networks: token representations determine the attention matrix, which in turn updates the representations. We study this fee…
quant-ph2026
Local Impurity Induced Growth and Scrambling in Clean Free Fermions
Qucheng Gao, Vikram Ravindranath, Xiao Chen
We study impurity-induced particle growth and scrambling in clean one-dimensional free-fermion systems. We show that a single local impurity can act as a branching source: particle…
quant-ph2026
Boundary Perturbation Effects in Quantum Systems with Conserved Energy and Continuous Symmetry
Qucheng Gao, Xiao Chen
We investigate one-dimensional systems with both energy conservation and a continuous symmetry, focusing on the impact of a boundary perturbation that breaks the continuous symmetr…