In the above paper, the authors study the behavior of driven system of interacting fermions using the equations of motion and numerical methods. They show that the response of non-integrable systems can be described within the generalized linear response, while the integrable system exhibits instead anomalous damped Bloch oscillations.

COBISS.SI-ID: 2289508

Invited by the Editor, we contributed the topical review "Modeling collective charge transport in nano-particle assemblies", in which we focused on the mechanisms behind the nonlinearity in I(V) characteristics observed in nano-particle films and nano-wires. The presented approach, mainly based on our theoretical and numerical results, includes the theoretical model of single-electron tunnelings in nano-particle films of general topology.

COBISS.SI-ID: 23530535

We analytically find an exact solution for a nonequilibrium steady state of a spin chain. Magnetization current through the system is under nonzero driving field proportional to the gradient of the field, meaning that the system displays normal transport. This is a first known solvable quantum model that exhibits diffusion. Hopefully, this result can shed light on an old question of when does a given system display diffusive transport.

COBISS.SI-ID: 2251876

We find that non-equilibrium boundary conditions generically trigger long range order in non-equilibrium steady states of locally but strongly interacting quantum chains. Our result is based on large scale density matrix renormalization group simulations with matrix product ansatz. We treated several models of quantum spin 1/2 chains which are driven far from equilibrium by coupling to a pair of unequal Lindblad reservoirs attached locally to the ends of the chain.

COBISS.SI-ID: 2262884

We study a new class of chaotic systems with dynamical localization, where gain or loss mechanisms break the Hermiticity, while allowing for parity-time (PT) symmetry. For a value ?PT of the gain or loss parameter the spectrum undergoes a spontaneous phase transition from real to complex values. Our results have applications to the design of optical elements with PT symmetry.

COBISS.SI-ID: 2234724