66 citations · 296 across the 21 of their papers we have counts for
21 papers
Spectrum of localized states in fermionic chains with defect and adiabatic charge pumping
Filiberto Ares, José G. Esteve, Fernando Falceto
In this paper, we study the localized states of a generic quadratic fermionic chain with finite-range couplings and an inhomogeneity in the hopping (defect) that breaks translation…
On the complex behaviour of the density in composite quantum systems
Filiberto Ares, José G. Esteve, Fernando Falceto +1
In this paper, we study how the probability of presence of a particle is distributed between the two parts of a composite fermionic system. We uncover that the difference of probab…
Sublogarithmic behaviour of the entanglement entropy in fermionic chains
Filiberto Ares, José G. Esteve, Fernando Falceto +1
In this paper, we discuss the possibility of unexplored behaviours for the entanglement entropy in extended quantum systems. Namely, we study the Rényi entanglement entropy for the…
Entanglement entropy in the Long-Range Kitaev chain
F. Ares, J. G. Esteve, F. Falceto +1
In this paper we complete the study on the asymptotic behaviour of the entanglement entropy for Kitaev chains with long range pairing. We discover that when the couplings decay wit…
Entanglement entropy and Möbius transformations for critical fermionic chains
F. Ares, J. G. Esteve, F. Falceto +1
Entanglement entropy may display a striking new symmetry under Möbius transformations. This symmetry was analysed in our previous work for the case of a non-critical (gapped) free…
On the Möbius transformation in the entanglement entropy of fermionic chains
F. Ares, J. G. Esteve, F. Falceto +1
There is an intimate relation between entanglement entropy and Riemann surfaces. This fact is explicitly noticed for the case of quadratic fermionic Hamiltonians with finite range…
Nonextensive thermodynamic functions in the Schrödinger-Gibbs ensemble
J. L. Alonso, A. Castro, J. Clemente-Gallardo +4
Schrödinger suggested that thermodynamical functions cannot be based on the gratuitous allegation that quantum-mechanical levels (typically the orthogonal eigenstates of the Hamilt…
Excited state entanglement in homogeneous fermionic chains
F. Ares, J. G. Esteve, F. Falceto +1
We study the Renyi entanglement entropy of an interval in a periodic fermionic chain for a general eigenstate of a free, translational invariant Hamiltonian. In order to analytical…
Neutrino mass and Extreme Value Distributions in -decay
J. G. Esteve, F. Falceto
We propose a new application of the Extreme Value Theory for distributions with compact support. The novelty of our proposal is the use of these tools to estimate the neutrino mass…
Boundary contributions to the hypervirial theorem
J. G. Esteve, F. Falceto, Pulak Ranjan Giri
It is shown that under certain boundary conditions the virial theorem has to be modified. We analyze the origin of the extra term and compute it in particular examples. The Coulomb…
Generalized Central Limit Theorem and Renormalization Group
I. Calvo, J. C. Cuchí, J. G. Esteve +1
We introduce a simple instance of the renormalization group transformation in the Banach space of probability densities. By changing the scaling of the renormalized variables we ob…
Generalization of the Hellmann-Feynman theorem
J. G. Esteve, F. Falceto, C. García Canal
The well known Hellmann-Feynman theorem of Quantum Mechanics connected with the derivative of the eigenvalues with respect to a parameter upon which the Hamiltonian depends, is gen…
Phase transition in the assignment problem for random matrices
J. G. Esteve, F. Falceto
We report an analytic and numerical study of a phase transition in a P problem (the assignment problem) that separates two phases whose representatives are the simple matching prob…
Exact two particle spectrum of the Heisenberg-Peierls chain
Julio Abad, J. G. Esteve
The exact solution for the two particle spectrum of the Heisenberg-Peierls one dimensional spin chain is given by working in the fermionic representation. The resulting equations f…
Origin of the anomalies: the modified Heisenberg equation
J. G. Esteve
The origin of the anomalies is analyzed. It is shown that they are due to the fact that the generators of the symmetry do not leave invariant the domain of definition of the Hamilt…
Vacuum Nodes and Anomalies in Quantum Theories
M. Aguado, M. Asorey, J. G. Esteve
We show that nodal points of ground states of some quantum systems with magnetic interactions can be identified in simple geometric terms. We analyse in detail two different archet…
Tricritical Behavior of Two-Dimensional Scalar Field Theories
M. Asorey, J. G. Esteve, F. Falceto +1
We compute by Monte Carlo numerical simulations the critical exponents of two-dimensional scalar field theories at the tricritical point. The results are in agreement with t…
A Perturbative/Variational Approach to Quantum Lattice Hamiltonians
J. G. Esteve, Germán Sierra
We propose a method to construct the ground state of local lattice hamiltonians with the generic form , where is a coupling constant and is a hamiltoni…
Finite Size Analysis of the One-dimensional Clock Model
M. Asorey, J. G. Esteve, J. Salas
We analyze the finite size scaling of the -state clock model in the limit. The behaviors of the specific heat, Binder-Landau and U4 cumulants agree with t…
Exact renormalization-group analysis of first order phase transitions in clock models
M. Asorey, J. G. Esteve, J. Salas
We analyze the exact behavior of the renormalization group flow in one-dimensional clock-models which undergo first order phase transitions by the presence of complex interactions.…
Rigorous Analysis of Renormalization Group Pathologies in the 4-State Clock Model
M. Asorey, J. G. Esteve, R. Fernandez J. Salas
We perform an exact renormalization-group analysis of one-dimensional 4-state clock models with complex interactions. Our aim is to provide a simple explicit illustration of the be…