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We study the dynamics of the biased sub-Ohmic spin-boson model by means of atime-dependent variational matrix product state (TDVMPS) algorithm. Theevolution of both the system and the environment is obtained in the weak- andthe strong-coupling regimes, respectively characterized by damped spinoscillations and by a nonequilibrium process where the spin freezes near itsinitial state, which are explicitly shown to arise from a variety of reactiveenvironmental quantum dynamics. We also explore the rich phenomenology of theintermediate-coupling case, a nonperturbative regime where the system shows acomplex dynamical behavior, combining features of both the weakly and thestrongly coupled case in a sequential, time-retarded fashion. Our workdemonstrates the potential of TDVMPS methods for exploring otherwise elusive,nonperturbative regimes of complex open quantum systems, and points to thepossibilities of exploiting the qualitative, real-time modification of quantumproperties induced by nonequilibrium bath dynamics in ultrafast transientprocesses.

Uncovering nonperturbative dynamics of the biased sub-Ohmic spin-boson model with variational Matrix Product States