We study a one-dimensional system of quantum particles in a tight-binding model with infinite on-site repulsion. We introduce an efficient method to calculate one-body correlation functions of states with Néel ordering of spin flavors. For the ground state of this spin ordering, we observe a Gaussian decay of the correlation function. Upon increasing the temperature, the Gaussian decay gradually transforms into an exponential decay. * Yicheng Zhang, Department of Physics, Penn State

In this talk, we will present a framework for the quantification of the capability of various quantum processes to generate coherence. The relevant measures, admitting computable expressions, are based on probabilistic averages and arise naturally from the viewpoint of coherence as a resource. We will focus mainly on unitary evolutions and various dephasing processes, including Lindblad dynamics that dephase in the long-time limit. The latter will turn out to have, in specific cases, optimal coherence-generating power for some intermediate time. * Georgios…

We demonstrate the existence of a new quantum phase of matter that arises in antiferromagnetic spin chains with a weak frustration -just one bond in a large chain-. This is the case, for instance, in systems with an odd number of spins with periodic boundary conditions. Such new phase is extended, gapless, but non-relativistic: the low-energy excitations have a quadratic (Galilean) spectrum. Locally, the correlation functions in the ground state do not show significant deviations, compared to the non-frustrated case, but correlators involving…

I will present work in progress with Marko Ljubotina. We will discuss quasilocal conservation laws in the Trotterized XXZ model and their implications on the spin transport. Interestingly, the model exhibits ballistic transport even for a range of anisotropies which pertain to the gapped regime in the continuous-time limit. * Lenart Zadnik, Faculty of Mathematics and Physics, University of Ljubljana

We consider a Lindblad time evolution of an open quantum system with dissipation acting on a subset of the degrees of freedom H0, and targeting a unique dark state in H0. It is argued, that in the Zeno limit of strong dissipation, the density matrix of the system traced over the dissipative subspace H0, evolves according to another Lindblad dynamics, with an effective Hamiltonian and weak effective dissipation. This, in turn, allows to calculate the steady state in Zeno limit…

10:30 - 12:40, lecture hall P.01 15:15 - 17:00, lecture hall 2.02 Programme: 10:00 coffee and discussions 10:30   Jacopo De Nardis (ENS Paris): Hydrodynamic diffusion and super-diffusion in integrable models 11:30 Lenart Zadnik (FMF Ljubljana): Spin transport in the Trotterized XXZ model 12:05 Scott Taylor (ICTP): Energy transport and many-body localisation in the disordered XYZ model 12:40 lunch 13:30 discussions 15:15 Katja Klobas (FMF Ljubljana): Time-dependent matrix product ansatz for interacting reversible dynamics 15:50 Tommaso Parolini/Rajat Panda (ICTP): SU(2) symmetry vs many-body localization: a HPC take on the         random Heisenberg…

FMF, University of Ljubljana, 14th to 17th November 2018 Speakers: Fabian Heidrich-Meisner, Herbert Spohn, Peter Prelovšek, Maurizio Fagotti, Joel Moore, Bruno Bertini, Lenart Zadnik, Katja Klobas, Marko Ljubotina and Gyorgy Feher. The schedule can be found here. The event will take place at the Kuščer Seminar room, 4th floor, Jadranska 19, except for the Wednesday afternoon session, which takes place in the room 3.07, 3rd floor, Jadranska 21.

Out-of-equilibrium systems have nowadays an important role in 1d statistical physics. Although an equilibrium state obviously doesn’t exist for such systems, one looks for a steady state (that is stationary in time). It is defined as the zero-eigenvalue eigenstate of the Markov matrix that describe the evolution of the system. Its exact computation is at the core of many researches. In some cases, the matrix product state ansatz (matrix ansatz for short) allows to compute this steady state. However no general approach for this ansatz…