We develop the coherent state representation of lattice vibrations to describe their interactions with charge carriers. In direct analogy to quantum optics, the coherent state representation leads from quantized lattice vibrations (phonons) naturally to a...
We begin with the observation that acoustic bands and carrier bands cross on an interesting 1D manifold for 2D materials. The reason is that the acoustic band rises linearly from the Gamma point k=0, while the carrier band rises quadratically. The carrier...
Fermi liquid and Bloch-Grüneisen theories fail to describe strange metal behaviors, e.g. normal state properties of high Tc superconductors. Cuprates, heavy Fermion materials and twisted bilayer graphene exhibit universal linear-in-temperature resistivity...
The scarring of a single-particle wave function is one of the most striking phenomena in the field of quantum chaos. In consequence of quantum interference, the probability density of a quantum state can be concentrated along short unstable periodic...
Although chaos plays an essential role in many natural phenomena, such as forecasting the weather, its quantum nature remains elusive. One of the most intriguing quantum chaotic phenomena is the scarring of a single-particle wavefunction showing an...
Branched flow is a common phenomenon in wave dynamics, where deflections of particles, rays or waves due to random fluctuations in the surrounding medium eventually lead to a chaotic arborescent pattern. Branched flow has been reported in a remarkable...
A potential for propagation of a wave in two dimensions is constructed from a random superposition of plane waves around all propagation angles. Surprisingly, despite the lack of periodic structure, sharp Bragg diffraction of the wave is observed...
Usage of coherent states to describe the electromagnetic field paved the way for comprehensive understanding of coherence in quantum optics. Here we present a new description of lattice vibrations in terms of coherent states. When lattice vibrations are...
In a number of systems, electronic transport can be viewed as dynamics of localized electronic states. However, there is no universal theory that describes time evolution of localized states. In this work, we present universal features of such motion...
We recently published a new method for the calculation of the time evolution of a wave function. We used an accurate approximate method to calculate the time propagator for a finite time Δt. Numerical calculations showed that this scheme works quite...
