Landau-Lifshitz damping from Lindbladian dissipation in quantum magnets

Abstract

As of now, the phenomenological classical Landau-Lifshitz (LL) damping of magnetic order is not conceptually linked to the quantum theory of dissipation of the Lindbladian formalism which is unsatisfactory for the booming research on magnetic dynamics. Here, it is shown that LL dynamics can be systematically derived from Lindbladian dynamics in a local mean-field theory for weak external fields. The derivation also extends the LL dynamics beyond the orientation $\vec{m}/|\vec{m}|$ to the length $|\vec{m}|$ of the magnetization. A key assumption is that the Lindbladian dissipation adapts to the non-equilibrium $H(t)$ instantaneously to lower its expectation value.

18 pages, 3 figures Section on length changes of the order parameter added plus some modifications for clarity

References in corpus (17)

• Realization of the thermal equilibrium in inhomogeneous magnetic systems by the Landau-Lifshitz-Gilbert equation with stochastic noise, and its dynamical aspects
• Nutation Resonance in Ferromagnets
• Nonlinear terahertz Néel spin-orbit torques in antiferromagnetic Mn${}_2$Au
• Limitation of entanglement due to spatial qubit separation
• Dynamical properties of a driven dissipative dimerized $S=1/2$ chain
• Master equation approach to magnon relaxation and dephasing
• Stochastic dynamics of magnetization in a ferromagnetic nanoparticle out of equilibrium
• Gilbert damping in metallic ferromagnets from Schwinger-Keldysh field theory: Intrinsically nonlocal and nonuniform, and made anisotropic by spin-orbit coupling
• Dynamic mean-field theory for dense spin systems at infinite temperature
• Bath-induced spin inertia
• From the open Heisenberg model to the Landau-Lifshitz equation
• Fate of entanglement in magnetism under Lindbladian or non-Markovian dynamics and conditions for their transition to Landau-Lifshitz-Gilbert classical dynamics
• Switching the Magnetization in Quantum Antiferromagnets
• Switching of Magnetization in Quantum Antiferromagnets with Time-Dependent Control Fields
• Accounting for Quantum Effects in Atomistic Spin Dynamics
• Quantum analog of Landau-Lifshitz-Gilbert dynamics
• Microscopic theory of spin friction and dissipative spin dynamics

Cited by in corpus (2)

• Microscopic theory of a precessing ferromagnet for ultrasensitive magnetometry
• Switching magnetization of quantum antiferromagnets: Schwinger boson mean-field theory compared to exact diagonalization