Quantum Chaos @ Bernoulli

Contribution List

1. Welcome

9/30/24, 9:50 AM

9. Talk Laura Foini: The eigenstate thermalization hypothesis and free probability

9/30/24, 10:00 AM

The eigenstate thermalization hypothesis and free probability

The eigenstate thermalization hypothesis (ETH) was developed to explain the mechanism by which "chaotic" systems reach thermal equilibrium from a generic state. ETH is an ansatz for the matrix elements of physical operators in the basis of the Hamiltonian, and since its postulation, numerous studies have characterised these...

3. Talk Felix Haehl: Random matrix universality and modular invariance

9/30/24, 11:30 AM

Random matrix universality and modular invariance

I will discuss universal level repulsion in the context of coarse-graining the spectrum of chaotic 2d conformal field theories. Modular invariance strongly constrains the spectral correlations and the subleading corrections to the linear growth of the spectral form factor (SFF). The latter are determined by a trace formula, which highlights...

4. Talk Jean-Philippe Brantut: All-to-all interacting quantum gases for quantum simulation

9/30/24, 2:30 PM

All-to-all interacting quantum gases for quantum simulation

I will present the progresses of my group in the engineering of long-range, all-to-all interacting quantum gases realized by placing cold Fermi gases in high-finesse cavities. I will then describe our experimental progresses towards the realization of random interactions, allowing in principle for the experimental realization the...

5. Discussion Session

9/30/24, 4:00 PM

6. Talk Aurelia Chenu: Two transitions in complex eigenvalue statistics of the XXZ Hamiltonian with imaginary disorder: Hermiticity and integrability breaking

10/1/24, 10:00 AM

Two transitions in complex eigenvalue statistics of the XXZ Hamiltonian
with imaginary disorder: Hermiticity and integrability breaking

With Aurelia Chenu, Gernot Akemann, Federico Balducci, Patricia Pässler, Federico Roccati, Ruth Shir

Open quantum systems have complex energy eigenvalues which are expected to follow non-Hermitian random matrix statistics when chaotic, or 2-dimensional...

7. Talk Fabien Alet: Many-body localisation and thermalization: introduction and new results for weak interactions

10/1/24, 11:30 AM

Many-body localisation and thermalization: introduction and new results for weak interactions

Many-body localization is the paradigm for how interacting quantum systems can resist thermalization in the presence of strong disorder.
In the first part of the talk, I will give a quick recap on the main ideas of many-body localization, highlighting the challenges and open questions in the...

8. Talk Fabrizio Minganti: Chaos in open quantum systems

10/1/24, 2:30 PM

Chaos in open quantum systems

Quantum technologies represent a frontier of both fundamental and applied research. Far from being ideal closed systems, quantum devices are open, interact with their environment experiencing dissipation, and require error correction strategies to reliably perform quantum algorithms [1]. In these systems, the interplay between dissipative and Hamiltonian...

10. Talk Matt Walters: Thermalization and Chaos in QFT

10/2/24, 10:00 AM

Thermalization and Chaos in QFT

Despite the many successes of QFT, we still have very few tools for directly computing strongly-coupled dynamics, and even fewer means of studying QFTs at finite temperature. I will discuss a new approach for accomplishing this goal, called conformal truncation, which uses data from conformal field theories to compute observables in more general QFTs. After...

14. Talk Masud Haque: Assigning temperatures to eigenstates of isolated quantum systems

10/2/24, 11:30 AM

Assigning temperatures to eigenstates of isolated quantum systems

We examine and compare different possible ways of assigning temperatures to energies, or equivalently, to eigenstates, of isolated many-body quantum systems.

12. Talk Armando Angrisani: Classical simulation of quantum circuits via Pauli Propagation

10/2/24, 2:30 PM

Classical simulation of quantum circuits via Pauli Propagation

11. Talk Miguel Paulos: Bootstrapping chaos?

10/2/24, 4:00 PM

Bootstrapping chaos?

In this talk I will discuss the systematics of the conformal bootstrap in 1d systems and their relation to (generically chaotic) 2d QFTs.

13. Talk Xiangyu Cao: Objectivity and encoding in inflationary quantum dynamics

10/3/24, 10:00 AM

Objectivity and encoding in inflationary quantum dynamics

Quantum chaotic dynamics is known to encode information, making them practically inaccessible. Meanwhile, macroscopic environments and measurement devices are able to broadcast information about quantum degrees of freedom, leading to the emergence of classical objectivity [1]. Such “classicalization” is also believed to happen during...

2. Talk Anatoly Dymarsky: ETH and Random Matrix Universality

10/3/24, 11:30 AM

ETH and Random Matrix Universality

ETH seems to suggest that in simple observables can be modeled by random matrices. We will discuss to what extent this is actually true.

15. Talk Julian Sonner: Gravity as a mesoscopic system

10/3/24, 2:30 PM

Gravity as a mesoscopic system

We employ a probabilistic mesoscopic description to draw conceptual and quantitative analogies between Brownian motion and late-time fluctuations of thermal correlation functions in generic chaotic systems respecting ETH. We apply this formalism to the case of semiclassical gravity in AdS3, showing that wormhole contributions can be naturally identified as...

16. Conclusion of Workshop

10/3/24, 3:30 PM