Abstract
We study the dynamics of entropy in a time dependent potential and explore how disorder influences this entropy flow. We show that disorder can trap entropy at the edge of the atomic cloud enabling a novel cooling method. We demonstrate the feasibility of our cooling technique by analyzing the evolution of entropy in a one-dimensional Fermi lattice gas with a time dependent superlattice potential.
Highlights
Disorder, often treated as a nuisance to be avoided, can be a great resource
We find that sufficiently strong disorder prevents the entropy flow, effectively cooling the central region
For the parameters given in figures 2 and 3, the entropy per particle is reduced by a factor of 3 to 10 in the center. These results prove that when the system is pre-cooled with conventional techniques, our disorder-induced cooling mechanism can be employed to reach temperatures much lower in the center than the rest of cloud
Summary
Often treated as a nuisance to be avoided, can be a great resource. For example, the quantum Hall effect is widely believed to only be observable because of disorder [1]. One prevalent idea in the field involves cooling by spatially segregating the entropy [23]. We pursue the idea of using disorder to control the spatial distribution of entropy in a trapped atomic cloud. Anderson showed that, in the absence of interactions, sufficiently strong disorder prevents transport, and would freeze the spatial distribution of entropy [24, 25]. One expects that generically disorder can be used to prevent entropy flow, even in the presence of interactions. We subsequently eliminate the gap in the bulk by ramping down the superlattice potential This potentially results in a low entropy metallic state for which interactions can lead to novel quantum phenomena. We find that sufficiently strong disorder prevents the entropy flow, effectively cooling the central region. We comment on the effect of interactions and experimental considerations
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