Michael Schecter

Dynamics and Bloch oscillations of mobile impurities in one-dimensional quantum liquids

Abstract We study the dynamics of a mobile impurity moving in a one-dimensional quantum liquid. Such an impurity induces a strong, non-linear depletion of the liquid around it. The dispersion relation of the combined object, called depleton, is a periodic function of its momentum with the period 2 π n , where n is the mean density of the liquid. In the adiabatic approximation, a constant external force acting on the impurity leads to the Bloch oscillations of the impurity around a fixed position. Dynamically, such oscillations are accompanied by the radiation of energy in the form of phonons. The ensuing energy loss results in the uniform drift of the oscillation center. We derive exact results for the radiation-induced mobility as well as the thermal friction force in terms of the equilibrium dispersion relation of the dressed impurity (depleton). These results show that there is a wide range of external forces where the (drifted) Bloch oscillations exist and may be observed experimentally.

Accumulation, inversion, and depletion layers in SrTiO3

We study potential and electron density depth profiles in accumulation, inversion, and depletion layers in crystals with a large and nonlinear dielectric response such as

Critical velocity of a mobile impurity in one-dimensional quantum liquids

{\mathrm{SrTiO}}_{3}

Self-organized topological superconductivity in a Yu-Shiba-Rusinov chain

. We describe the lattice dielectric response using the Landau-Ginzburg free energy expansion. In accumulation and inversion layers we arrive at new nonlinear dependencies of the width

Quantum impurities: from mobile Josephson junctions to depletons

d

Composite Topological Excitations in Ferromagnet-Superconductor Heterostructures

of the electron gas on an applied electric field

Spin-Lattice Order in One-Dimensional Conductors: Beyond the RKKY Effect.

{D}_{0}

Localization lifetime of a many‐body system with periodic constructed disorder

. Particularly important is the predicted electron density profile of accumulation layers (including the

Phonon-mediated Casimir interaction between mobile impurities in one-dimensional quantum liquids.

{\mathrm{LaAlO}}_{3}/{\mathrm{SrTiO}}_{3}

Forming doublons by a quantum quench

interface)