Large-time Dynamics of Classical and Quantum Systems

Contribution List

1. Marcello Porta

11/12/24, 9:30 AM

Title: Dynamics of high density Fermi gases on a local scale

Abstract: In this talk I will discuss the dynamics of extended, relativistic Fermi gases, at high density. I will focus on the derivation of the Hartree equation, at zero temperature, as an effective description of many-body quantum dynamics. I will present a result that establishes convergence to the Hartree equation in the sense...

2. Michal Wrochna

11/12/24, 10:45 AM

Title: Modular theory and entropy in QFT on curved spacetimes 

Abstract: In this talk I will review how modular theory enters the formalism of Quantum Field Theory on curved spacetimes, stressing the similarities with Quantum Statistical Mechanics. In particular I will discuss the Araki-Woods representation and the problem of defining and computing entanglement entropy, then outline...

3. Christopher Cedzich

11/12/24, 11:35 AM

Title: Exponential tail estimates for quantum lattice dynamics

Abstract: We consider the quantum dynamics of a particle on a lattice for large times. Assuming translation invariance, and either discrete or continuous time parameter, the distribution of the ballistically scaled position Q(t)/t converges weakly to a distribution that is compactly supported in velocity space, essentially the...

4. Vojkan Jaksic

11/12/24, 2:00 PM

Title: Some remarks on entropy production in quantum statistical mechanics

Abstract: I will introduce  quantum mechanical entropic notions that play a role in the recent series of papers (joint work with T. Benoist, L. Bruneau, A. Panati, C-A. Pillet). 

1. A note on two-times measurement entropy production and modular theory
2. On the thermodynamic limit of two-times measurement entropy...

5. Clément Tauber

11/12/24, 2:50 PM

Title: Approach to equilibrium in quantum systems

Abstract: This talk is about the problem of approach to equilibrium in quantum systems. I will formulate the problem for translation invariant quantum systems (spins or fermions) on a lattice within the approach of algebraic quantum statistical mechanics. Then, I will discuss some recent results relating the zeroth law of thermodynamics...

6. Laurent Bruneau

11/12/24, 3:45 PM

Title: Some recent developments about quantum entropic fluctuations

Abstract: Since the seminal works of Evans, Searles, Gallavotti and Cohen in the early 90's the study of entropic fluctuations has encountered a fast growing interest in the last decades, and many developments at least in classical systems. Its quantum counterpart however turned out to be very challenging. In this talk I...

7. Alain Joye

11/13/24, 9:30 AM

Title: Quantum Walks Dynamics for use by the ANR

Abstract: We will begin by presenting a construction of unitary and open quantum walks on arbitrary graphs, called scattering quantum walks, and describe some of their key properties. Next, we will discuss the large times dynamics of ensembles of quantum walkers interacting with reservoirs. Finally, we will address several open problems that...

8. Horia Cornean

11/13/24, 10:45 AM

Title: A mathematical approach to N(on)E(quilibrium)G(reen)F(unctions)

Abstract: Quantities like local particle densities and charge currents in mesoscopic systems are computed by a large community of solid-state physicists via the so-called NEGF formalism. We will rigorously define these Green functions and focus on the Dyson equation for the advanced/retarded interacting Green’s function,...

9. Noé Cuneo

11/13/24, 11:35 AM

Title: Multifractal analysis of decoupled measures: what we know so far

Abstract: I will present some ongoing work with Vojkan Jakšić and Renaud Raquépas about multifractal analysis of decoupled measures. Our focus is on determining the fractal dimension of level sets for certain observables on shift spaces. I will introduce the necessary definitions and describe how Large Deviation results...

10. Michele Correggi

11/13/24, 2:00 PM

Title: Quasi-classical Limit of a Spin Coupled to a Reservoir

Abstract: We consider a spin in contact with a bosonic reservoir, whose state contains a parameter interpolating between quantum and classical reservoir features. For energy conserving interactions we study decoherence and markovianity properties of the effective dynamics of the spin for all values of the parameter. Our main...

11. Léo Daures

11/13/24, 2:50 PM

Title: A large deviation principle for discrete, possibly reducible, Markov chains.

Abstract: This talk is part of my ongoing PhD research. I will begin by presenting the subadditive method, an elegant approach for deriving large deviation principles (LDPs). This method is particularly effective for systems with strong decoupling assumptions, such as irreducible Markov chains, where it has...

12. Armen Shirikyan

11/13/24, 3:45 PM

Title: 10 challenging problems in classical dynamics

Abstract: We discuss four groups of problems arising in the theory of randomly forced PDEs. They are related to mixing of a random flow, Donsker-Varadhan type large deviations, estimation of a parameter, and the vanishing noise limit. For each problem, we give a rather precise formulation, summarise some known results, and outline the...

13. Tristan Benoist

11/14/24, 9:30 AM

Title: Repeated quantum measurements, recent results and outlook

Abstract: I will give a short overview of recent results concerning ergodicity and limit theorems for repeated quantum measurements, both at the level of the measurement outcomes dynamical system and the underlying quantum trajectory Markov chain. I will then present a few conjectures, open questions and interesting extensions...

14. Claude-Alain PIllet

11/14/24, 10:45 AM

15. Anna Szczepanek

11/14/24, 11:35 AM

Title: Real-analyticity of the pressure function for products of matrices under irreducibility

Abstract: The regularity of the pressure function (also known as the generalized Lyapunov exponent) plays an important role in various fields, e.g. in statistical mechanics or multifractal analysis. Pressure function s->k(s) is known to be differentiable on (0,∞) under (weak) irreducibility...