TY - JOUR T1 - Flight of a heavy particle nonlinearly coupled to a quantum bath JF - Physical Review B Y1 - 2016 A1 - Mohammad F. Maghrebi A1 - Matthias Krüger A1 - Mehran Kardar AB - Fluctuation and dissipation are by-products of coupling to the `environment.' The Caldeira-Leggett model, a successful paradigm of quantum Brownian motion, views the environment as a collection of harmonic oscillators linearly coupled to the system. However, symmetry considerations may forbid a linear coupling, e.g. for a neutral particle in quantum electrodynamics. We argue that nonlinear couplings can lead to a fundamentally different behavior. Specifically, we consider a heavy particle quadratically coupled to quantum fluctuations of the bath. In one dimension the particle undergoes anomalous diffusion, unfolding as a power-law distribution in space, reminiscent of L\'{e}vy flights. We suggest condensed matter analogs where similar effects may arise. VL - 93 U4 - 014309 UR - http://arxiv.org/abs/1508.00582 CP - 1 U5 - 10.1103/PhysRevB.93.014309 ER -