TY - JOUR A1 - Anders, Janet A1 - Sait, Connor R. J. A1 - Horsley, Simon A. R. T1 - Quantum Brownian motion for magnets JF - New journal of physics : the open-access journal for physics N2 - Spin precession in magnetic materials is commonly modelled with the classical phenomenological Landau-Lifshitz-Gilbert (LLG) equation. Based on a quantized three-dimensional spin + environment Hamiltonian, we here derive a spin operator equation of motion that describes precession and includes a general form of damping that consistently accounts for memory, coloured noise and quantum statistics. The LLG equation is recovered as its classical, Ohmic approximation. We further introduce resonant Lorentzian system-reservoir couplings that allow a systematic comparison of dynamics between Ohmic and non-Ohmic regimes. Finally, we simulate the full non-Markovian dynamics of a spin in the semi-classical limit. At low temperatures, our numerical results demonstrate a characteristic reduction and flattening of the steady state spin alignment with an external field, caused by the quantum statistics of the environment. The results provide a powerful framework to explore general three-dimensional dissipation in quantum thermodynamics. KW - open quantum systems KW - coloured and quantum noise KW - memory effects KW - spin KW - dynamics KW - LLG equation KW - magnetisation KW - quantum thermodynamics Y1 - 2022 U6 - https://doi.org/10.1088/1367-2630/ac4ef2 SN - 1367-2630 VL - 24 IS - 3 PB - IOP Publ. Ltd. CY - Bristol ER - TY - JOUR A1 - Barra, Felipe A1 - Hovhannisyan, Karen A1 - Imparato, Alberto T1 - Quantum batteries at the verge of a phase transition JF - New journal of physics : the open-access journal for physics N2 - Starting from the observation that the reduced state of a system strongly coupled to a bath is, in general, an athermal state, we introduce and study a cyclic battery-charger quantum device that is in thermal equilibrium, or in a ground state, during the charge storing stage. The cycle has four stages: the equilibrium storage stage is interrupted by disconnecting the battery from the charger, then work is extracted from the battery, and then the battery is reconnected with the charger; finally, the system is brought back to equilibrium. At no point during the cycle are the battery-charger correlations artificially erased. We study the case where the battery and charger together comprise a spin-1/2 Ising chain, and show that the main characteristics-the extracted energy and the thermodynamic efficiency-can be enhanced by operating the cycle close to the quantum phase transition point. When the battery is just a single spin, we find that the output work and efficiency show a scaling behavior at criticality and derive the corresponding critical exponents. Due to always present correlations between the battery and the charger, operations that are equivalent from the perspective of the battery can entail different energetic costs for switching the battery-charger coupling. This happens only when the coupling term does not commute with the battery's bare Hamiltonian, and we use this purely quantum leverage to further optimize the performance of the device. KW - quantum batteries KW - quantum thermodynamics KW - quantum phase transition Y1 - 2022 U6 - https://doi.org/10.1088/1367-2630/ac43ed SN - 1367-2630 VL - 24 IS - 1 PB - IOP Publ. Ltd. CY - Bristol ER - TY - JOUR A1 - Henkel, Carsten T1 - Heat transfer and entanglement BT - non-equilibrium correlation spectra of two quantum oscillators JF - Annalen der Physik N2 - The non-equilibrium state of two oscillators with a mutual interaction and coupled to separate heat baths is discussed. Bosonic baths are considered, and an exact spectral representation for the elements of the covariance matrix is provided analytically. A wide class of spectral densities for the relevant bath modes is allowed for. The validity of the fluctuation-dissipation relation is established for global equilibrium (both baths at the same temperature) in the stationary state. Spectral measures of entanglement are suggested by comparing to the equilibrium spectrum of zero-point fluctuations. No rotating-wave approximation is applied, and anomalous heat transport from cold to hot bath, as reported in earlier work, is demonstrated not to occur. KW - entanglement KW - heat transfer KW - non-equilibrium steady state KW - master KW - equation KW - quantum thermodynamics Y1 - 2021 U6 - https://doi.org/10.1002/andp.202100089 SN - 0003-3804 SN - 1521-3889 VL - 533 IS - 10 PB - Wiley-VCH CY - Weinheim ER -