At 3 T, the effective wavelength of the RF field is comparable to the dimension of the human body, resulting in B1 standing wave effects and extra variations in phase. This effect is accompanied by an increase in B0 field inhomogeneity compared to 1.5 T. This combination results in nonuniform magnetization preparation by the composite MLEV weighted T2 preparation (T2 Prep) sequence used for cor...

Redshift obeys adiabatic invariance. From this fact it follows that not only the individual photons are dimmed by a factor of z + 1 (if z is the redshift in percent), but the photon flux is reduced by the same factor once more. Hence the luminosity of any source is in the presence of redshift dimmed by a factor of (z+1). This model-independent result possibly "explains away" the excess dimming ...

The Hannay angle has been previously studied for a celestial circular restricted three-body system by means of an adiabatic approach. In this work, three main results are obtained. Firstly, a formal connection between perturbation theory and the Hamiltonian adiabatic approach, both leading to the Hannay angle; it is thus emphasised that this effect is already contained in classical celestial me...

A major challenge facing adiabatic quantum computing is that algorithm design and error correction can be difficult for adiabatic quantum computing. Recent work has considered addressing this challenge by using coherently controlled adiabatic evolutions in the place of classically controlled evolution. An important question remains: what is the relative power of controlled adiabatic evolution t...

The Hannay angle has been previously studied for a celestial circular restricted three-body system by means of an adiabatic approach. In this work, three main results are obtained. Firstly, a formal connection between perturbation theory and the Hamiltonian adiabatic approach, both leading to the Hannay angle; it is thus emphasised that this effect is already contained in classical celestial me...

We discuss time evolution of some solitary waves described in the first part of this work. The adiabatic motion of the non-linear non-dispersive waves composed of three lumps is interpreted as three-body low energy scattering of these particle-like kinks.

In supernovae and in the early universe, neutrino flavor evolution is a many-body phenomena. Here the equations describing the evolution of the density matrices in phase space are derived. Then these equations are applied to neutrino emission from a supernova core. The effects of a 'small' background neutrino density on adiabatic and nonadiabatic flavor evolution

I show how to protect adiabatic quantum computation (AQC) against decoherence and certain control errors, using a hybrid methodology involving dynamical decoupling, subsystem and stabilizer codes, and energy gaps. Corresponding error bounds are derived. As an example, I show how to perform decoherence-protected AQC against local noise using at most two-body interactions.

This note, written for the NIC Winter School ”Quantum Simulations of Complex Many-Body Systems: From Theory to Algorithms”, discusses and compares – in theoretical respects – various old and new approaches to numerical time integration for quantum dynamics: implicit vs. exponential midpoint rule; splitting, Chebyshev and Lanczos approximations to the exponential; Magnus integrators; integrators...