Transport in Out-of-Equilibrium X X Z Chains: Exact Profiles of Charges and Currents

We consider the nonequilibrium time evolution of piecewise homogeneous states in the XXZ spin-1/2 chain, a paradigmatic example of an interacting integrable model. The initial state can be thought of as the result of joining chains with different global properties. Through dephasing, at late times, the state becomes locally equivalent to a stationary state which explicitly depends on position and time. We propose a kinetic theory of elementary excitations and derive a continuity equation which fully characterizes the thermodynamics of the model. We restrict ourselves to the gapless phase and consider cases where the chains are prepared: (1) at different temperatures, (2) in the ground state of two different…

• L
  Labex

  Award: ENS-ICFP:ANR-10-LABX-0010/ANR-10-IDEX-0001-02 PSL*
• ER
  European Research Council

  Award: 279391 EDEQS
• H2
  Horizon 2020

  Award: 701221