The Hall effect is known as the voltage drop V perpendicular to the current I and magnetic field B (B⊥ I) measurable in electric conductors. Its importance relies in the fact that, at weak field, the Hall constant R = V/(IB) ≈ -1/(nq)   and measures the charge q and density n of charge carriers. Nevertheless, its calculation remains an open problem in strongly correlated systems. We demonstrate the identical suppression of the Hall response in quasi two-dimensional ballistic lattices, which is robust  to large…

We study the transport properties of the Yang–Gaudin model – a one-dimensional, integrable, spinful Fermi gas – after a junction of two semi-infinite subsystems held at different temperatures. The ensuing dynamics is studied by analyzing the space-time profiles of local observables emerging at large distances x and times t, as a function of ζ=x/t. At equilibrium, the system displays two distinct species of quasiparticles, naturally associated with different physical degrees of freedom. By employing the generalized hydrodynamic approach, we show…

The temporal evolution of certain aggregates of particles -- of neutrons in a multiplying medium, of electron-photon cascades in cosmic rays, say -- can be successfully modeled via so-called branching processes. A brief overview of the most popular classes of branching processes is given. In particular the continuous-time Bienaymé-Galton-Watson processes and continuous-state branching processes are described as time-changed Lévy processes that are ``skip-free downwards''.

In my talk, I will discuss the recently-discovered phenomenon of pole-skipping in thermal correlators of energy and momentum operators. In the presence of low-energy hydrodynamic modes, pole-skipping provides a precise relation between hydrodynamics and the underlying microscopic quantum chaos, as diagnosed by an out-of-time-ordered correlator (OTOC). In the absence of hydrodynamics, as for example in a 1+1 dimensional quantum critical theory (a conformal field theory), pole-skipping can still be used to compute the rate of the exponential growth of the…

Using an open-quantum system description, we revisit the Josephson effect in hybrid junctions made of the topological superconductor (TS) and normal metal (N) wires. We consider an X-Y-Z configuration for the junctions where X, Y, Z = TS, N. We assume the wires X and Z being semi-infinite and in thermal equilibrium. We connect the wires X and Z through the short Y wire at some time, and numerically study time-evolution of the full device. For TS-N-TS device, we find…

Isolated systems consisting of many interacting particles are generally assumed to relax to a stationary equilibrium state whose macroscopic properties are described by the laws of thermodynamics and statistical physics. Time crystals, as first proposed by Wilczek, could defy some of these fundamental laws and for instance display persistent non-decaying oscillations. They can be engineered by external driving or contact with an environment, but are believed to be impossible to realize in isolated many-body systems. Here, we will demonstrate analytically…

10:00 - 18:00, lecture hall P.04, Jadranska 21. Programme: 9:30 coffee and discussions 10:15  Márton Mestyán (SISSA):  Molecular dynamics simulation of entanglement spreading in generalized hydrodynamics 10:50 Lev Vidmar (IJS Ljubljana):  Quantum chaos challenges many-body localization 12:25 Tiago Mendes-Santos (ICTP): Entanglement guided search for parent Hamiltonians 12:00 lunch 13:00 discussions 15:15 Spyros Sotiriadis (FMF Ljubljana): Quantum dynamics in the sine-Gordon model 15:50 Jacopo Sisti  (SISSA): Entanglement entropy in higher dimensional CFTs and holography 16:25 Giuliano Giudici (ICTP): Measuring von Neumann entanglement entropies without wave functions…

In typical Hamiltonian systems regions of regular and chaotic motion coexist within a mixed phase space. While they are strictly separated in classical mechanics, dynamical tunneling allows quantum states to penetetrate classical inaccessible regions in phase space. We present a semiclassical picture for this regular-to-chaotic tunneling process, which also captures the resonance-assisted enhancement due to a nonlinear resonance chain in the classical phase space. Within an integrable approximation with one nonlinear resonance chain we identify complex paths for direct and…