We consider a central-spin battery where N b central spins serve as battery cells and N c
bath spins serve as charging units. It is shown that the energy stored in the battery that can …

Using the algebraic Bethe ansatz in conjunction with a simple Monte Carlo sampling
technique, we study the problem of the decoherence of a central spin coupled to a nuclear …

We investigate the quantum phase transition (QPT) in the XXZ central spin model, which can
be described as a spin-1 2 particle coupled to N bath spins. In general, the QPT is supposed …

We present a numerical approach which allows the solving of Bethe equations whose
solutions define the eigenstates of Gaudin models. By focusing on a different set of …

Central spin models describe a variety of quantum systems in which a spin-1 2 qubit
interacts with a bath of surrounding spins, as realized in quantum dots and defect centers in …

We study the decoherence of a spin in a quantum dot due to its hyperfine coupling to a
randomly fluctuating bath of nuclear spins. The system is modeled by the central spin model …

We present a combination of analytic calculations and a powerful numerical method for
large spin baths in the low-field limit. The hyperfine interaction between the central spin and …

We study the dynamics of the sine-Gordon model after a quantum quench into the attractive
regime, where the spectrum consists of solitons, antisolitons and breathers. In particular, we …

We obtain analytically close forms of benchmark quantum dynamics of the collapse and
revival (CR), the reduced density matrix, Von Neumann entropy, and fidelity for the XXZ …

In this work, we generalize the numerical approach to Gaudin models developed earlier by
us [Faribault, El Araby, Sträter, and Gritsev, Phys. Rev. B 83, 235124 (2011) PRBMDO 1098 …