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We study the transport, decoherence and dissipation of an impurityinteracting with a bath of free fermions in a one-dimensional lattice.Numerical simulations are made with the time-evolving block decimation method.We introduce a mass imbalance between the impurity and bath particles and findthat the fastest decoherence occurs for a light impurity in a bath of heavyparticles. By contrast, the fastest dissipation of energy occurs when themasses are equal. We present a simple model for decoherence in the heavy bathlimit, and a linear density response description of the interaction whichpredicts maximum dissipation for equal masses.

Decoherence of an impurity in a one-dimensional fermionic bath with mass imbalance