A Quantum Model of Thermodynamic Mechanical Oscillators
Jacob M. Taylor, Chiao-Hsuan Wang
We present a quantum mechanical model of a bath of spins coupled to the elasticity of a material. Motivated by understanding the emergence of thermodynamic restoring forces and oscillations, we show our model reproduces the behavior of a variety of entropic springs while enabling investigation of non-equilibrium resonator states in the quantum domain. We find our model emerges naturally in disordered elastic media such as glasses, and is an additional, expected effect in systems with anomalous specific heat and 1/f noises at low temperatures due to two-level systems, that fluctuate.