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  -