



@article {1527,
	title = {Flight of a heavy particle nonlinearly coupled to a quantum bath},
	journal = {Physical Review B},
	volume = {93},
	year = {2016},
	month = {2016/01/28},
	pages = {014309},
	abstract = {  Fluctuation and dissipation are by-products of coupling to the {\textquoteleft}environment.{\textquoteright}
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.
},
	doi = {10.1103/PhysRevB.93.014309},
	url = {http://arxiv.org/abs/1508.00582},
	author = {Mohammad F. Maghrebi and Matthias Kr{\"u}ger and Mehran Kardar}
}
