19 citations · 73 across the 23 of their papers we have counts for
26 papers
Majorana bilinears, compact modular seeds and the approach to the Tsirelson bound
M. S. Guimaraes, I. Roditi, S. P. Sorella
In this work we study the Bell-CHSH inequality in the vacuum of the free massive Majorana field in dimensions, taking as the dichotomic observables of the two parties even bi…
Mass Dependence of Araki Relative Entropy through Modular Theory
M. S. Guimaraes, I. Roditi, S. P. Sorella
Building on the established one-particle formula for the Araki relative entropy of coherent states, we study how its value acquires a nontrivial dependence on the mass of the scala…
Finite Weyl polynomials and the approach to Tsirelson's bound in relativistic scalar quantum field theory
J. G. A. Caribé, M. S. Guimaraes, I. Roditi +1
We construct four bounded Hermitian operators, each one a finite polynomial in the unitary Weyl operators, for the Bell-CHSH inequality in a free massive scalar field in dime…
Modular wedge localization, Majorana fields and the Tsirelson limit of the Bell-CHSH inequality
J. G. A. Caribé, M. S. Guimaraes, I. Roditi +1
The massive Majorana field in dimension is employed to investigate the violation of the Bell-CHSH inequality in relativistic Quantum Field Theory. We give an explicit rapidit…
Bosonization, vertex operators and maximal violation of the Bell-CHSH inequality in wedge regions
J. G. A. Caribé, M. S. Guimaraes, I. Roditi +1
It is pointed out that the vertex operators of a chiral boson in 1+1 dimensions provide an explicit realization of dichotomic, bounded, Hermitian operators that saturate the Tsirel…
Modular Theory and the Bell-CHSH inequality in relativistic scalar Quantum Field Theory
J. G. A. Caribé, M. S. Guimaraes, I. Roditi +1
The Tomita-Takesaki modular theory is employed to discuss the Bell-CHSH inequality in wedge regions. By using the Bisognano-Wichmann results, the construction of a set of wedge loc…
Squeezed states for Frenkel-like two-fermion composite bosons
Francisco Figueiredo, Itzhak Roditi
We investigate squeezed states of composite bosons (cobosons) formed by pairs of spin- fermions, with emphasis on Frenkel-like cobosons. While squeezing for standard bosonic m…
Cat states and violation of the Bell-CHSH inequality in relativistic Quantum Field Theory
M. S. Guimaraes, I. Roditi, S. P. Sorella
A cat state localized in the right Rindler wedge is employed to study the violation of the Bell-CHSH inequality in a relativistic scalar free Quantum Field Theory. By means of the…
Mass Dependence of the Araki-Uhlmann Relative Entropy Across Dimensions
João G. A. Caribé, Marcelo S. Guimarães, Itzhak Roditi +2
We investigate the mass dependence of the Araki-Uhlmann relative entropy between a localized coherent excitation and the vacuum state of a free scalar quantum field on the -…
Investigating the Araki-Uhlmann relative entropy between two coherent states in relativistic Quantum Field Theory
João G. A. Caribé, Marcelo S. Guimaraes, Itzhak Roditi +1
A numerical setup for investigating the Araki-Uhlmann relative entropy between two coherent states is presented for a scalar massive Quantum Field Theory in ()-dimensional Min…
On a class of bounded Hermitian operators for the Bell-CHSH inequality in Quantum Field Theory
M. S. Guimaraes, I. Roditi, S. P. Sorella
The violation of the Bell-CHSH inequality in a relativistic scalar Quantum Field Theory is analysed by means of a set of bounded Hermitian operators constructed out of the unitary…
Relative entropy of single-mode squeezed states in Quantum Field Theory
Marcelo S. Guimaraes, Itzhak Roditi, Silvio P. Sorella +1
Utilizing the Tomita-Takesaki modular theory, we derive a closed-form analytic expression for the Araki-Uhlmann relative entropy between a single-mode squeezed state and the vacuum…
Composite Bosons Superposition Ansatz Approach to One-Dimensional Trapped Few-Fermion Systems
Francisco Figueiredo, Itzhak Roditi
Ultra-cold atomic systems provide a versatile platform for exploring quantum phenomena, offering tunable interactions and diverse trapping geometries. In this study, we investigate…
A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory
Marcelo S. Guimaraes, Itzhak Roditi, Silvio P. Sorella +1
We numerically investigate the Araki-Uhlmann relative entropy in Quantum Field Theory, focusing on a free massive scalar field in 1+1-dimensional Minkowski spacetime. Using Tomita-…
Bell and Mermin inequalities in Quantum Field Theory from vacuum projectors and Weyl operators
M. S. Guimaraes, I. Roditi, S. P. Sorella +1
The use of the vacuum projector and of the unitary Weyl operators enables us to construct a set of Hermitian dichotomic operators in relativistic scalar Qu…
Bell-CHSH inequality and unitary transformations in Quantum Field Theory
D. O. R. Azevedo, F. M. Guedes, M. S. Guimaraes +3
Unitary transformations are employed to enhance the violations of the Bell-CHSH inequality in relativistic Quantum Field Theory. The case of the scalar field in Minkowski spa…
Investigation of the Bell-CHSH inequality in diamond regions
M. S. Guimaraes, I. Roditi, S. P. Sorella
A numerical setup for the Bell-CHSH inequality for causal diamonds in Minkowski spacetime is presented. Upon choosing a suitable set of test functions supported in the diamon…
Bell's inequality in relativistic Quantum Field Theory
M. S. Guimaraes, I. Roditi, S. P. Sorella
A concise and self-contained introduction to the Bell inequality in relativistic Quantum Field Theory is presented. Taking the example of a real scalar massive field, the violation…
A study of the spin 1 Unruh-De Witt detectors
F. M. Guedes, M. S. Guimaraes, I. Roditi +1
A study of the spin 1 Unruh-De Witt detectors interacting with a relativistic scalar quantum field is presented. After tracing out the field modes, the resulting density matrix for…
Gluing together Quantum Field Theory and Quantum Mechanics: a look at the Bell-CHSH inequality
M. S. Guimaraes, I. Roditi, S. P. Sorella
The Bell-CHSH inequality in the vacuum state of a relativistic scalar quantum field is revisited by making use of the Hilbert space , where ${\cal H…
Numerical approach to the Bell-Clauser-Horne-Shimony-Holt inequality in quantum field theory
Philipe De Fabritiis, Marcelo S. Guimaraes, Itzhak Roditi +1
The Bell-CHSH (Clauser-Horne-Shimony-Holt) inequality in the vacuum state of a relativistic scalar quantum field is analyzed. Using Weyl operators built with smeared fields localiz…
Bell-CHSH inequality and unitary operators
M. S. Guimaraes, I. Roditi, S. P. Sorella
Unitary operators are employed to investigate the violation of the Bell-CHSH inequality. The ensuing modifications affecting both classical and quantum bounds are elucidated. The r…
Unruh-De Witt detectors, Bell-CHSH inequality and Tomita-Takesaki theory
Fillipe M. Guedes, Marcelo S. Guimaraes, Itzhak Roditi +1
The interaction between Unruh-De Witt spin detectors and a real scalar field is scrutinized by making use of the Tomita-Takesaki modular theory as applied to the Von Neumann…
Using Weyl operators to study Mermin's inequalities in Quantum Field Theory
Philipe De Fabritiis, Fillipe M. Guedes, Marcelo S. Guimaraes +2
Mermin's inequalities are investigated in a Quantum Field Theory framework by using von Neumann algebras built with Weyl operators. We devise a general construction based on the To…