43 citations · 403 across the 35 of their papers we have counts for
19 papers · 1 filter
Limits of Stochastic Semigroups and Block-Triangular Majorisation
Fabio Deelan Cunden, Jakub Czartowski, Giovanni Gramegna +1
We investigate limits of semigroups of stochastic matrices defined by their invariant distribution. Given probability vectors depending on a parameter , we introduce a no…
Maximal Minimal Spacing for Random Points
Fabio Deelan Cunden, Noemi Cuppone, Giovanni Gramegna +1
From random points on a line we wish to select points so as to maximize the minimal spacing between them. We consider an initial configuration with independent and iden…
Relative volume of comparable pairs under semigroup majorization
Fabio Deelan Cunden, Jakub Czartowski, Giovanni Gramegna +1
Any semigroup of stochastic matrices induces a semigroup majorization relation on the set of probability -vectors. Pick at ra…
Truncated quantum observables and their semiclassical limit
Fabio Deelan Cunden, Marilena Ligabò, Maria Caterina Susca
For quantum observables truncated on the range of orthogonal projections of rank , we study the corresponding Weyl symbol in the phase space in the semiclassical limit…
The semiclassical limit of a quantum Zeno dynamics
Fabio Deelan Cunden, Paolo Facchi, Marilena Ligabò
Motivated by a quantum Zeno dynamics in a cavity quantum electrodynamics setting, we study the asymptotics of a family of symbols corresponding to a truncated momentum operator, in…
Free fermions and -determinantal processes
Fabio Deelan Cunden, Satya N. Majumdar, Neil O'Connell
The -determinant is a one-parameter generalisation of the standard determinant, with corresponding to the determinant, and corresponding to the permanent. In this p…
Integer moments of complex Wishart matrices and Hurwitz numbers
Fabio Deelan Cunden, Antoine Dahlqvist, Neil O'Connell
We give formulae for the cumulants of complex Wishart (LUE) and inverse Wishart matrices (inverse LUE). Their large- expansions are generating functions of double (strictly and…
Third-order phase transition: random matrices and screened Coulomb gas with hard walls
Fabio Deelan Cunden, Paolo Facchi, Marilena Ligabò +1
Consider the free energy of a -dimensional gas in canonical equilibrium under pairwise repulsive interaction and global confinement, in presence of a volume constraint. When the…
Free fermions and the classical compact groups
Fabio Deelan Cunden, Francesco Mezzadri, Neil O'Connell
There is a close connection between the ground state of non-interacting fermions in a box with classical (absorbing, reflecting, and periodic) boundary conditions and the eigenvalu…
Universality of the third-order phase transition in the constrained Coulomb gas
Fabio Deelan Cunden, Paolo Facchi, Marilena Ligabò +1
The free energy at zero temperature of Coulomb gas systems in generic dimension is considered as a function of a volume constraint. The transition between the 'pulled' and the 'pus…
Density and spacings for the energy levels of quadratic Fermi operators
Fabio Deelan Cunden, Anna Maltsev, Francesco Mezzadri
The work presents a proof of convergence of the density of energy levels to a Gaussian distribution for a wide class of quadratic forms of Fermi operators. This general result appl…
Large- expansion for the time-delay matrix of ballistic chaotic cavities
Fabio Deelan Cunden, Francesco Mezzadri, Nick Simm +1
We consider the -expansion of the moments of the proper delay times for a ballistic chaotic cavity supporting scattering channels. In the random matrix approach, these mom…
Large deviations of radial statistics in the two-dimensional one-component plasma
Fabio Deelan Cunden, Francesco Mezzadri, Pierpaolo Vivo
The two-dimensional one-component plasma is an ubiquitous model for several vortex systems. For special values of the coupling constant (where is the particles charge an…
Correlators for the Wigner-Smith time-delay matrix of chaotic cavities
Fabio Deelan Cunden, Francesco Mezzadri, Nick Simm +1
We study the Wigner-Smith time-delay matrix of a ballistic quantum dot supporting scattering channels. We compute the -point correlators of the power traces $\mathrm{Tr}…
A shortcut through the Coulomb gas method for spectral linear statistics on random matrices
Fabio Deelan Cunden, Paolo Facchi, Pierpaolo Vivo
In the last decade, spectral linear statistics on large dimensional random matrices have attracted significant attention. Within the physics community, a privileged role has been p…
A unified fluctuation formula for one-cut -ensembles of random matrices
Fabio Deelan Cunden, Francesco Mezzadri, Pierpaolo Vivo
Using a Coulomb gas approach, we compute the generating function of the covariances of power traces for one-cut -ensembles of random matrices in the limit of large matrix size.…
Fluctuations in the two-dimensional one-component plasma and associated fourth-order phase transition
Fabio Deelan Cunden, Anna Maltsev, Francesco Mezzadri
We study the distribution of the mean radial displacement of charges of a 2D one-component plasma in the thermodynamic limit at finite temperature . We compute ex…
Spatial separation and entanglement of identical particles
F. D. Cunden, S. Di Martino, P. Facchi +1
We reconsider the effect of indistinguishability on the reduced density operator of the internal degrees of freedom (tracing out the spatial degrees of freedom) for a quantum syste…
Polarized ensembles of random pure states
F. D. Cunden, P. Facchi, G. Florio
A new family of polarized ensembles of random pure states is presented. These ensembles are obtained by linear superposition of two random pure states with suitable distributions,…