A tale of Pfaffian persistence tails told by a Painlevé VI transcendent

Ivan Dornic (SPEC CEA Saclay)

We identify the persistence probability for the zero-temperature non-equilibrium Glauber dynamics of the half-space Ising chain as a particular Painlevé VI transcendent, with monodromy exponents (1/2,1/2,0,0). Among other things, this characterization a la Tracy-Widom permits to relate our specific Bonnet-Painlevé VI to the one found by Jimbo & Miwa and characterizing the lattice diagonal correlation functions at all temperatures for the planar static Ising model. In particular, in terms of the standard critical exponents eta=1/4 and beta=1/8 for the latter, this implies that the probability that the limiting Gaussian real Kac's polynomial has no real root decays with an exponent 4(eta+beta)=3/4.

Pressure and forces in active matter

Alexandre Solon (LPTMC)

Active matter, composed of self-propelling entities, is found across scales in nature, from cellular tissues to animal groups. Such systems, as well as engineered active materials, exhibit many types of collective behaviors and unusual mechanical properties. In this talk, I will focus on different aspects of the interactions between active fluids and boundaries or passive objects, and show that they lead to intriguing effects, specific to active systems. In particular, I will discuss the absence of equation of state for the pressure of active fluids, the instability of a filament in an active bath, long-range interactions mediated by an active fluid and the localization of active particles in a random potential.

Emergent phenomena from correlation and competition: a case of figure from high temperature superconductivity

Marcello Civelli (LPS Orsay)

Emergent phenomena are common in correlated systems. For instance, in correlated quantum materials novel phases appear displaying remarkable properties, like e.g. colossal magneto-resistance, exotic charge and magnetic order, quantum criticality, unconventional superconductivity….Tuning the system from one phase to another via the application of an external parameter, like temperature, pressure, doping, or by manipulating intrinsic parameters via, for example, light-matter interaction, offer the possibility to exploit a large variety of different functionalities on the same device and opens the route to the development of novel technologies.

Two main concepts that frame the emergence of novel phenomena from correlation have been at the front stage. On one side the competition between quantum phases, famously advocated for example in the case of quantum critical phase transitions in heavy fermion compounds. On the other side, the idea that “more is different” (P.W. Anderson), i.e. that our understanding of these new quantum phenomena require a new quantum state of matter, sharply different from the ones that we have known so far.

We shall show how these two concepts merge in the most known exotic state of matter rising from correlation, the high-temperature superconductivity in cuprates. The scenario that we propose is obtained by resolving the Hubbard Model, which is the simplest model capturing the salient features of cuprates. In particular we shall show that an unprecedented form of superconducting pairing arises from correlation, requiring to go beyond the main concepts of unconventional superconductivity developed so far.

Unbinding transition of probes in single-file systems

Vincent Démery (Gulliver-ESPCI)

Single-file transport, arising in quasi-one-dimensional geometries where particles cannot pass each other, is characterized by the anomalous dynamics of a probe, notably its response to an external force. I will present a simple hydrodynamic framework that allows to compute this response, and also the response of several probes to arbitrary external forces, where an unbinding transition can occur.