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Hilbert-space localization in closed quantum systems
Doron Cohen, Vyacheslav I. Yukalov, Klaus Ziegler
Quantum localization within an energy-shell of a closed quantum system stands in contrast to the ergodic assumption of Boltzmann, and to the corresponding eigenstate thermalization…
Short note on the excitonic Mott phase
K. Ziegler, O. L. Berman, R. Ya. Kezerashvili
An exciton gas on a lattice is analyzed in terms of a convergent hopping expansion. For a given chemical potential our calculation provides a sufficient condition for the hopping r…
Emergent Chern-Simons excitations due to electron--phonon interaction
Andreas Sinner, Klaus Ziegler
We address the problem of Dirac fermions interacting with longitudinal phonons. A gap in the spectrum of fermions leads to the emergence of the Chern--Simons excitations in the spe…
Creation of ray modes by strong random scattering
K. Ziegler
In the presence of strong random scattering the behavior of particles with degenerate spectra is quite different from Anderson localization of particles in a single band: it create…
Instability of insulating states in optical lattices due to collective phonon excitations
V. I. Yukalov, K. Ziegler
The role of collective phonon excitations on the properties of cold atoms in optical lattices is investigated. These phonon excitations are collective excitations, whose appearance…