We develop a semiclassical theory of the nondegenerate parametric amplification in a single miniband of superlattice. We present the formulas describing absorption and gain of signal and idler fields in superlattice and analyze the limiting cases of strong and weak dissipation. We show how the well-known Manley-Rowe relations arise in the tight-binding lattice in the weak dissipation limit. Our...

Abstract We review recent progress in optimal control stochastic thermodynamics. Theoretical advances provide in-depth insight into minimum-dissipation with either full or limited (parametric) control, and spanning the limits from slow to fast driving weak strong driving. Known exact solutions give a window properties of which are reproduced by approximate methods relevant limits. Connections b...

Reducing power dissipation is one of the most important issues that need to be addressed to improve the performance of all computing systems, such as supercomputers, cloud servers, desktop PCs, medical systems, and wearable devices. Exploiting parallelism and decreasing redundant power dissipation by fine grain power control for multicore/manycore systems are promising approaches, which can ens...

A fundamental problem in modern thermodynamics is how a molecular-scale machine performs useful work, while operating away from thermal equilibrium without excessive dissipation. To this end, we derive a friction tensor that induces a Riemannian manifold on the space of thermodynamic states. Within the linear-response regime, this metric structure controls the dissipation of finite-time transfo...

In recent works, IDA-PBC has been succesfully applied to mechanical control problems with no physical damping present. In some cases, the friction terms can be obviated without compromising stability in closed loop. However in methods that modify the kinetic energy, a controller designed for stabilizing the undamped system might loose passivity, a key property for stabilization, when damping is...

Truncated multiplication can be used to significantly reduce power dissipation for applications that do not require correctly rounded results. This paper presents a power efficient method for designing floating point multipliers that can perform either correctly rounded IEEE compliant multiplication or truncated multiplication, based on an input control signal. Compared to conventional IEEE flo...

The maxima of the scalar dissipation rate in turbulence appear in the form of sheets and correspond to the potentially most intensive scalar mixing events. Their cross section extension determines a locally varying diffusion scale of the mixing process and extends the classical Batchelor picture of one mean diffusion scale. The distribution of the local diffusion scales is analyzed for differen...