Quantum Transport in Interacting Spin Chains: Exact Derivation of the
GUE Tracy-Widom Distribution
Quantum Transport in Interacting Spin Chains: Exact Derivation of the
GUE Tracy-Widom Distribution
We theoretically study quantum spin transport in a one-dimensional folded XXZ model with an alternating domain-wall initial state via the Bethe ansatz technique, exactly demonstrating that a probability distribution of finding a left-most up-spin with an appropriate scaling variable converges to the Tracy-Widom distribution for the Gaussian unitary ensemble (GUE), …