Nonequilibrium dynamics and transport in the frustrated two bath spin boson model

The spin-boson model, describing a single two-level system coupled to an Ohmic bath of harmonic oscillators, is a paradigmatic model of open quantum systems. It has been used to understand the connection between quantum dissipation and classical friction and has been applied to a wide range of phenomena ranging from quantum impurity problems to quantum information, biological systems, and state of the art superconducting circuits experiments. In this work, we use numerical and analytical methods to study the dynamics of a generalized spin boson model where the spin is coupled to two independent Ohmic baths via non-commuting operators. It has already been shown that the two competing baths lead to peculiar effects, namely the absence of the phase transition and the coherent to incoherent crossover in the spin dynamics, both of which are well-known features of the single bath system. Here, we explicitly show how the frustration leads to reduced decoherence in the spin dynamics following a quantum quench. We also study the single-particle transport properties of a quasi 1D realization of the model and show asymmetrical features in the intra- and inter-bath elastic and inelastic scattering.