We report on the immersion of a spin-qubit encoded in a single trapped ion into a spin-polarized neutral atom environment, which possesses both continuous (motional) and discrete (spin) degrees of freedom. The environment offers the possibility of a precise microscopic description, which allows us to understand dynamics and decoherence from first principles. We observe the spin dynamics of the qubit and measure the decoherence times (T1 and T2), which are determined by the spin-exchange interaction as well as by an unexpectedly strong spin-nonconserving coupling mechanism.PACS numbers: 03.67.-a 03.65.Yz 37.10.Ty A spin-1/2 system represents the most fundamental quantum mechanical object. Its spin-dynamics anddecoherence when interacting with an environment determine its potential use as a qubit and are responsible for a multitude of impurity effects encountered in the solid state. While an extensive amount of theoretical work on this problem exists (for reviews see [1, 2]), experiments with well-controlled and adjustable environments are scarce. The necessary sensitivity to probe single spins, ideally with a single-shot readout, is often incompatible with the ability to adjust the properties of the environment. Among the few examples of controlled decoherence processes are the quantum measurement process [3], the decoherence of motional quantum states of trapped ions by noisy classical electric fields [4], and the effects of spontaneous emission [5][6][7]. These are related to spin-boson physics, where the environment is formed by a set of harmonic oscillator modes [1]. On the contrary, the decoherence of a localized spin impurity inside an environment of other spins lies at the heart of the so-called central-spin problem [2]. Here, the occurring decoherence mechanisms are different from spinboson physics since the spectrum of the bath is discrete and spin-spin or spin-orbit interactions play a role. The central-spin model has been often applied as a simplified and approximate description of the interaction of semiconductor quantum dots [8] and color centres in solids [9] with their environment.Here we investigate the model system of a single localized spin-1/2 coupled to an spin-polarized environment of tunable density. Specifically, we embed a trapped single Yb + ion, initially laser-cooled to Doppler temperature, into a spin-polarized ultracold neutral bath of 87 Rb atoms and study the resulting decoherence of the ion's internal spin state. We observe an intricate decoherence mechanism, which is spin-nonconserving and involves the coupling of the orbital degrees of freedom with the spin degrees of freedom. We measure the longitudinal (T 1 ) and the transverse (T 2 ) coherence times, also with respect to the energy separation, and identify the time scales for Zeeman-and hyperfine-state relaxation. Level structure of the Yb + electronic ground state in a weak magnetic field. To implement the spin-1/2 system, we use either the Zeeman qubit |mJ = ±1/2 in the isotope 174 Yb + or the magnetic field insensitive hype...