From stochastic spin chains to quantum Kardar-Parisi-Zhang dynamics

13 Jan 2020 Jin Tony Krajenbrink Alexandre Bernard Denis

We introduce the asymmetric extension of the Quantum Symmetric Simple Exclusion Process which is a stochastic model of fermions on a lattice hopping with random amplitudes. In this setting, we analytically show that the time-integrated current of fermions defines a height field which exhibits a quantum non-linear stochastic Kardar-Parisi-Zhang dynamics... (read more)

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  • QUANTUM PHYSICS
  • STATISTICAL MECHANICS
  • MATHEMATICAL PHYSICS
  • MATHEMATICAL PHYSICS