RESUMO
Ultracold atoms confined to optical lattices provide a platform for simulation of phenomena not readily accessible in condensed matter and chemical systems. One area of growing interest is the mechanism by which isolated condensed matter systems can thermalize. The mechanism for thermalization of quantum systems has been directly linked to a transition to chaos in their classical counterpart. Here we show that the broken spatial symmetries of the honeycomb optical lattice leads to a transition to chaos in the single-particle dynamics which, in turn, causes mixing of the energy bands of the quantum honeycomb lattice. For systems with single-particle chaos, "soft" interactions between atoms can cause the system to thermalize (achieve a Fermi-Dirac distribution for fermions or a Bose-Einstein distribution for bosons).
RESUMO
Split Hopkinson pressure bar experiments on soils are often carried out using a rigid steel confining ring to provide plane strain conditions, and measurements of the circumferential strain in the ring can be used to infer the radial stress on the surface of the specimen. Previous experiments have shown evidence of irregular electromagnetic interference in measurements of radial stress, which obscures the signals and impedes analysis. The development of robust constitutive models for soils in blast and impact events relies on the accurate characterisation of this behaviour, and so it is necessary to isolate and remove the source of interference. This paper uses an induction coil to identify the source of the anomalous signals, which are found to be due to induced currents in the gauge lead wires from the movement of magnetised pressure bars (martensitic stainless steel, 440C). Comparative experiments on sand and rubber specimens are used to show that the deforming soil specimen does not make a significant contribution to this activity, and recommendations are made on reducing electromagnetic interference to provide reliable radial stress measurements.
