4 papers
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…
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…
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…
Scrambling Transition in Free Fermion Systems Induced by a Single Impurity
Qucheng Gao, Tianci Zhou, Pengfei Zhang +1
In quantum many-body systems, interactions play a crucial role in the emergence of information scrambling. When particles interact throughout the system, the entanglement between t…