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Toda-like Hamiltonian as a probe for quantized prey-predator dynamics
Alex E. Bernardini, Orfeu Bertolami
Phase-space features of a reduced version of the Toda-like Hamiltonian, , written in a form constrained by the condition $\partial^2 \mathcal{H} / \partial x \p…
Phase-space quantum distorted stability pattern for Aubry-André-Harper dynamics
Alex E. Bernardini, Orfeu Bertolami
Instability features associated to topological quantum domains which emerge from the Weyl-Wigner (WW) quantum phase-space description of Gaussian ensembles driven by Aubry-André-Ha…
Extended Weyl-Wigner phase-space framework for non-linear systems: typical and modified prey-predator-like dynamics
Alex E. Bernardini, Orfeu Bertolami
The extension of the phase-space Weyl-Wigner quantum mechanics to the subset of Hamiltonians in the form of (with replacing single contrib…
Phase-space gaussian ensemble quantum camouflage
Alex E. Bernardini, Orfeu Bertolami
Extending the phase-space description of the Weyl-Wigner quantum mechanics to a subset of non-linear Hamiltonians in position and momentum, gaussian functions are identified as the…
Time Crystals and Phase-Space Noncommutative Quantum Mechanics
Orfeu Bertolami, A. E. Bernardini
We argue that time crystal properties naturally arise from phase-space noncommutative quantum mechanics. In order to exemplify our point we consider the 2-dimensional noncommutativ…
Distorted stability pattern and chaotic features for quantized prey-predator-like dynamics
Alex E. Bernardini, Orfeu Bertolami
Non-equilibrium and instability features of prey-predator-like systems associated to topological quantum domains emerging from a quantum phase-space description are investigated in…
Quantum prey-predator dynamics: a gaussian ensemble analysis
Alex E. Bernardini, Orfeu Bertolami
Quantum frameworks for modeling competitive ecological systems and self-organizing structures have been investigated under multiple perspectives yielded by quantum mechanics. These…
Emergent time crystals from phase-space noncommutative quantum mechanics
Alex E. Bernardini, Orfeu Bertolami
It has been argued that the existence of time crystals requires a spontaneous breakdown of the continuous time translation symmetry so to account for the unexpected non-stationary…
Non-commutative phase-space Lotka-Volterra dynamics: the quantum analogue
Alex E. Bernardini, Orfeu Bertolami
The Lotka-Volterra (LV) dynamics is investigated in the framework of the Weyl-Wigner (WW) quantum mechanics (QM) extended to one-dimensional Hamiltonian systems, $\mathcal{H}(x,\,k…
Generalized phase-space description of non-linear Hamiltonian systems and the Harper-like dynamics
Alex E. Bernardini, Orfeu Bertolami
Phase-space features of the Wigner flow for generic one-dimensional systems with a Hamiltonian, , constrained by the c…
A Quantum Field Theory View of Interaction Free Measurements
Filipe Barroso, Orfeu Bertolami
We propose a Quantum Field Theory description of beams on a Mach-Zehnder Interferometer and apply the method to describe Interaction Free Measurements (IFMs), concluding that there…
Phase-space continuity equations for quantum decoherence, purity, von Neumann and Rényi entropies
Alex E. Bernardini, Orfeu Bertolami
Phase-space features of the Wigner flow are examined so to provide a set of continuity equations that describe the flux of quantum information in the phase-space. The reported resu…
Quantum cloning and teleportation fidelity in the noncommutative phase-space
P. Leal, A. E. Bernardini, O. Bertolami
The formulation of the no-cloning theorem in the framework of phase-space noncommutative (NC) quantum mechanics (QM) is examined, and its implications for the computation of quantu…
Quantum information aspects of noncommutative quantum mechanics
Orfeu Bertolami, Alex E. Bernardini, Pedro Leal
Some fundamental aspects related with the construction of Robertson-Schrödinger like uncertainty principle inequalities are reported in order to provide an overall description of q…
Non-classicality from the phase-space flow analysis of the Weyl-Wigner quantum mechanics
Alex E. Bernardini, Orfeu Bertolami
A fluid analog of the information flux in the phase-space associated to purity and von Neumann entropy are identified in the Weyl-Wigner formalism of quantum mechanics. Once constr…
Bell operator and Gaussian squeezed states in noncommutative quantum mechanics
Catarina Bastos, Alex E. Bernardini, Orfeu Bertolami +2
One examines putative corrections to the Bell operator due to the noncommutativity in the phase-space. Starting from a Gaussian squeezed envelop whose time evolution is driven by c…
Phase-space noncommutative extension of the Robertson-Schroedinger formulation of Ozawa's uncertainty principle
Catarina Bastos, Alex E. Bernardini, Orfeu Bertolami +2
We revisit Ozawa's uncertainty principle (OUP) in the framework of noncommutative (NC) quantum mechanics. We derive a matrix version of OUP accommodating any NC structure in the ph…
Robertson-Schrödinger formulation of Ozawa's Uncertainty Principle
Catarina Bastos, A. E. Bernardini, O. Bertolami +2
A more general measurement disturbance uncertainty principle is presented in a Robertson-Schrödinger formulation. It is shown that it is stronger and having nicer properties than O…
Entanglement and separability in the noncommutative phase-space scenario
Alex E. Bernardini, Catarina Bastos, Orfeu Bertolami +2
Quantumness and separability criteria for continuous variable systems are discussed for the case of a noncommutative (NC) phase-space. In particular, the quantum nature and the ent…
Phase-space noncommutative formulation of Ozawa's uncertainty principle
Catarina Bastos, Alex E. Bernardini, Orfeu Bertolami +2
Ozawa's measurement-disturbance relation is generalized to a phase-space noncommutative extension of quantum mechanics. It is shown that the measurement-disturbance relations have…
Robertson-Schroedinger type formulation of Ozawa's noise-disturbance uncertainty principle
Catarina Bastos, Alex E. Bernardini, Orfeu Bertolami +2
In this work we derive a matrix formulation of a noise-disturbance uncertainty relation, which is akin to the Robertson-Schrödinger uncertainty principle. Our inequality is stronge…
Entanglement due to noncommutativity in the phase-space
Catarina Bastos, Alex E. Bernardini, Orfeu Bertolami +2
The entanglement criterion for continuous variable systems and the conditions under which the uncertainty relations are fulfilled are generalized to the case of a noncommutative (N…
Probing phase-space noncommutativity through quantum beating, missing information and the thermodynamic limit
Alex E. Bernardini, O. Bertolami
In this work we examine the effect of phase-space noncommutativity on some typically quantum properties such as quantum beating, quantum information, and decoherence. To exemplify…