40 citations · 210 across the 26 of their papers we have counts for
19 papers · 1 filter
Vortex screening and the fate of the BKT transition with long-range couplings
Guido Giachetti
The stability of the Berezinskii--Kosterlitz--Thouless phase against long-range interactions remains an open problem. We address this question in the two-dimensional XY model with…
Bayesian Monitoring of a Diffusive Particle in One Dimension
Federico Gerbino, Guido Giachetti, Pierre Le Doussal +1
We study the Bayesian monitoring of a single particle diffusing along a line, while an observer tracks it continuously using noisy measurements at each spatial point. The average S…
Large- with long-range interactions: integrability and resonance dynamics
Guido Giachetti, Nicolo Defenu
We study the large- dynamics of the long-range quantum model, focusing on the strong long-range regime . The dynamics of the model exhibits non-trivial features on m…
Universality and weak-ergodicity breaking in quantum quenches
Guido Giachetti, Andrea Solfanelli, Nicolò Defenu
Understanding equilibration and universality after sudden quantum quenches remains a central challenge in isolated many-body systems. Persistent oscillations and anomalous scaling…
One-dimensional long-range Ising model: two (almost) equivalent approximations
Valerio Pagni, Guido Giachetti, Andrea Trombettoni +1
We investigate the critical behavior of the one-dimensional Ising model with long-range interactions using the functional renormalization group in the local potential approximation…
Measurement-Induced Phase Transition in State Estimation of Chaotic Systems and the Directed Polymer
Federico Gerbino, Guido Giachetti, Pierre Le Doussal +1
We introduce a solvable model of a measurement-induced phase transition (MIPT) in a deterministic but chaotic dynamical system with a positive Lyapunov exponent. In this setup, an…
Field theory for monitored Brownian SYK clusters
Anastasiia Tiutiakina, Hugo Lóio, Guido Giachetti +2
We consider the time evolution of multiple clusters of Brownian Sachdev-Ye-Kitaev (SYK), i.e. systems of N Majorana fermions with a noisy interaction term. In addition to the unita…
Cahier de l'Institut Pascal: Noisy Quantum Dynamics and Measurement-Induced Phase Transitions
Alexios Christopoulos, Alessandro Santini, Guido Giachetti
This is a conference proceeding in the framework of workshop "OpenQMBP2023" at Institute Pascal (Orsay, France) and associated to the lecture given by Prof. Ehud Altman. We provide…
A Dyson Brownian motion model for weak measurements in chaotic quantum systems
Federico Gerbino, Pierre Le Doussal, Guido Giachetti +1
We consider a toy model for the study of monitored dynamics in a many-body quantum systems. We study the stochastic Schrodinger equation resulting from the continuous monitoring wi…
Elusive phase transition in the replica limit of monitored systems
Guido Giachetti, Andrea De Luca
We study an exactly solvable model of monitored dynamics in a system of spin- particles with pairwise all-to-all noisy interactions, where each spin is continuously weakly…
Villain model with long-range couplings
Guido Giachetti, Nicolo Defenu, Stefano Ruffo +1
The nearest-neighbor Villain, or periodic Gaussian, model is a useful tool to understand the physics of the topological defects of the two-dimensional nearest-neighbor model,…
Quantum heat engine with long-range advantages
Andrea Solfanelli, Guido Giachetti, Michele Campisi +2
The employment of long-range interactions in quantum devices provides a promising route towards enhancing their performance in quantum technology applications. Here, the presence o…
Fractal nature of high-order time crystal phases
Guido Giachetti, Andrea Solfanelli, Lorenzo Correale +1
Discrete Floquet time crystals (DFTC) are characterized by the spontaneous breaking of the discrete time-translational invariance characteristic of Floquet driven systems. In analo…
transitions in classical and quantum long-range systems
Guido Giachetti, Andrea Trombettoni, Stefano Ruffo +1
In the past decades considerable efforts have been made in order to understand the critical features of both classical and quantum long-range interacting models. The case of the Be…
Violent relaxation in the Hamiltonian mean field model: II. Non-equilibrium phase diagrams
Alessandro Santini, Guido Giachetti, Lapo Casetti
A classical long-range-interacting -particle system relaxes to thermal equilibrium on time scales growing with ; in the limit such a relaxation time diverges. H…
Berezinskii-Kosterlitz-Thouless phase transitions with long-range couplings
Guido Giachetti, Nicolo Defenu, Stefano Ruffo +1
The Berezinskii-Kostelitz-Thouless (BKT) transition is the paradigmatic example of a topological phase transition without symmetry-breaking, where a quasi-ordered phase, characteri…
Self-consistent harmonic approximation with non-local couplings
Guido Giachetti, Nicolo Defenu, Stefano Ruffo +1
We derive the self-consistent harmonic approximation for the XY model with non-local interactions. The resulting equation for the variational couplings holds for any form of t…
Coarse-grained collisionless dynamics with long-range interactions
Guido Giachetti, Alessandro Santini, Lapo Casetti
We present an effective evolution equation for a coarse-grained distribution function of a long-range-interacting system preserving the symplectic structure of the non-collisional…
Violent relaxation in the Hamiltonian Mean Field model: I. Cold collapse and effective dissipation
Guido Giachetti, Lapo Casetti
In -body systems with long-range interactions mean-field effects dominate over binary interactions (collisions), so that relaxation to thermal equilibrium occurs on time scales…