I consider a class of spinless-fermion Lindblad equations that exhibit decoupled BBGKY hierarchies. Importantly these do not describe “free” evolution in the sense that there is no Wick’s theorem and multi-point correlation functions cannot be reduced to two-point functions. In the cases where particle number is conserved, their late time behaviour is characterized by diffusive dynamics,...
During the last decade, a new and powerful paradigm has emerged in the context of quantum gravity, here understood as the still elusive quantum theory of gravitational degrees of freedom. This paradigm states that key features of quantum gravity are expected to display signatures of quantum chaos. Following such guiding principle, both compliance with random matrix theory in the long time...
The sine-Gordon model is a paradigmatic quantum field theory that provides the low-energy effective description of many gapped 1D systems. Despite this fact, its complete thermodynamic description in all its regimes was lacking. In the talk, I will report the filling of this gap by deriving the Thermodynamic Bethe Ansatz framework that captures the thermodynamics of the model and serves as the...
The Mpemba effect is a striking and counterintuitive phenomenon in which, under certain conditions, hotter water cools more quickly than colder water. Although originally observed in classical systems, recent theoretical and experimental studies have uncovered an analogous effect in extended quantum systems.
A specific manifestation of this quantum effect occurs when the system starts in a...
In the first part I discuss the evolution of entanglement entropy for a massless field within a spherical region in an expanding background. The formalism is applied to the inflationary period and the subsequent era of radiation domination, starting from the Bunch-Davies vacuum. Each field mode evolves towards a squeezed state upon horizon exit during inflation, with additional squeezing when...
In this talk, I will examine the direct connection between entanglement entropy and the notion of irreversibility in the renormalization-group flow in the context of a simple free massive scalar theory. The change of the entanglement entropy for a spherical entangling surface as its radius grows from zero to infinity corresponds to the flow from the UV to the IR. I will provide details...
The eigenstate thermalization hypothesis (ETH) [1] is a cornerstone of condensed matter physics,offering a simple and physical framework to explain the emergence of thermal features in the late-time dynamics of closed quantum systems. Nevertheless, the presence of rare eigenstates, known as quantum many-body scar states, that escape thermalization and violate ETH has been recently pointed out...
Quantum Many Body Systems are at the basis of many Quantum Simulations. It is therefore of upmost interest to understand their information content and structure and how it can be manipulated and extracted or measured. One avenue, based on our understanding of quantum field theories, is based on correlation functions, which reveal the accessible structure [1] and their effective descriptions...
Mattewaves are promising candidates for the realization of extremely sensitive sensors. Some of the most sensitive and precise measurements to date of gravity [1], inertia [2], and rotation [3] are based on matter-wave interferometry with free-falling atomic clouds. A critical requirement to achieve very high sensitivities is the long interrogation time, which consequently leads to...
Understanding thermalisation in quantum many-body systems is among the most enduring problems in modern physics. A particularly interesting question concerns the role played by quantum mechanics in this process, i.e. whether thermalisation in quantum many-body systems is fundamentally different from that in classical many-body systems and, if so, which of its features are genuinely quantum. I...
I will present some experimental results produced at Institut d'Optique in Palaiseau with a Rydberg-atom machine studying the melting of a domain-wall. I will discuss a theoretical protocol that shows how to detect the fact that the unitary dynamics implemented in the model is not integrable, as it is theoretically expected. I will extensively comment on the results and their theoretical...
I consider transport properties of an extended-range XX model, a candidate framework for describing dipole–dipole coupled Rydberg atom chains. With the goal of capturing the properties of the system at the intermediate time scales accessible in experiments, I discuss the possibility of approximating the system with an integrable one.
Two complementary approaches are considered. First, I...
The non-equilibrium dynamics of quantum spin chains is significantly influenced by confining forces, as was demonstrated using the Ising quantum spin chain in a longitudinal magnetic field. Depending on the setup, they can suppress thermalisation either through real-time confinement, analogous to strong interactions, or via Wannier-Stark localisation caused by Bloch oscillations. Both...
The preparation of quantum states is a fundamental task in quantum computing, error correction, and quantum simulation. Designing efficient preparation algorithms and understanding their gate complexity are therefore of central importance. In this talk, we focus on the preparation of many-body quantum states that obey an entanglement area law; such states are naturally represented by tensor...
