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A generalized description of entanglement and quantum correlation properties constraining internal degrees of freedom of Dirac(-like) structures driven by arbitrary Poincar\'e classes of external field potentials is proposed. The role of…

量子物理 · 物理学 2016-01-20 Victor A. S. V. Bittencourt , Alex E. Bernardini

The Weyl-Wigner formalism for evaluating the intrinsic information of Dirac bispinors as correlated qubits (localized) in a magnetic field is investigated in the extension to statistical ensembles. The confining external field quantizes the…

量子物理 · 物理学 2024-02-01 C. F. Silva , A. E. Bernardini

The effects of Lorentz boosts on the quantum entanglement encoded by a pair of massive spin one-half particles are described according to the Lorentz covariant structure described by Dirac bispinors. The quantum system considered…

量子物理 · 物理学 2018-03-21 Victor A. S. V. Bittencourt , Alex E. Bernardini , Massimo Blasone

In this paper we describe the transformation properties of quantum entanglement encoded in a pair of spin 1/2 particles described via Dirac bispinors. Due to the intrinsic parity-spin internal structure of the bispinors, the joint state is…

量子物理 · 物理学 2018-10-04 Victor A. S. V. Bittencourt , Alex E. Bernardini , Massimo Blasone

Following the information-based approach to Dirac spinors under a constant magnetic field, the phase-space representation of symmetric and anti-symmetric localized Dirac cat states is obtained. The intrinsic entanglement profile implied by…

量子物理 · 物理学 2021-11-05 Caio Fernando e Silva , Alex E. Bernardini

Discrete spacetime symmetries of parity P or reflection R, and time-reversal T, act naively as $\mathbb{Z}_2$-involutions in the passive transformation on the spacetime coordinates; but together with a charge conjugation C, the total…

高能物理 - 理论 · 物理学 2022-11-14 Juven Wang

The Snyder model of a noncommutative geometry due to a minimal scale $\ell$, e.g. the Planck or the Compton scale, yields $\ell^2$-shift within the Einstein Hamiltonian constraint, and $\gamma^5$-term in the free Dirac equation violating CP…

高能物理 - 唯象学 · 物理学 2014-11-18 L. A. Glinka

In a local gauge-invariant theory with massless Dirac fermions a symmetry of the Lorentz-invariant fermion charge is larger than a symmetry of the Lagrangian as a whole. While the Dirac Lagrangian exhibits only a chiral symmetry, the…

高能物理 - 唯象学 · 物理学 2019-01-14 L. Ya. Glozman

We study coherence and entanglement properties of the state space of a composite bi-fermion (two electrons pierced by $\lambda$ magnetic flux lines) at one Landau site of a bilayer quantum Hall system. In particular, interlayer imbalance…

介观与纳米尺度物理 · 物理学 2014-11-04 M. Calixto , E. Pérez-Romero

Many-body systems of identical arbitrary-spin particles, with separable spin and spatial degrees of freedom, are considered. Their eigenstates can be classified by Young diagrams, corresponding to non-trivial permutation symmetries (beyond…

量子气体 · 物理学 2014-11-17 Vladimir A. Yurovsky

Parity-time ($\mathcal{PT}$) symmetry plays an important role both in non-Hermitian and topological systems. In non-Hermitian systems $\mathcal{PT}$ symmetry can lead to an entirely real energy spectrum, while in topological systems…

介观与纳米尺度物理 · 物理学 2019-12-18 W. B. Rui , Moritz M. Hirschmann , Andreas P. Schnyder

We discuss second quantization, discrete symmetry transformations and inner products in free non-Hermitian scalar quantum field theories with PT symmetry, focusing on a prototype model of two complex scalar fields with anti-Hermitian mass…

高能物理 - 理论 · 物理学 2021-01-05 Jean Alexandre , John Ellis , Peter Millington

The "spin-up" and "spin-down" projections of the second order, chiral form of Dirac Theory are shown to fit a superposition of forms predicted in an earlier classical, complex scalar gauge theory (April, 1992 Class. Quantum Grav.). In some…

广义相对论与量子宇宙学 · 物理学 2017-06-30 J. E. Rankin

Quantum transition probabilities and quantum entanglement for two-qubit states of a four level trapped ion quantum system are computed for time-evolving ionic states driven by Jaynes-Cummings Hamiltonians with interactions mapped onto a…

量子物理 · 物理学 2016-05-25 Victor A. S. V. Bittencourt , Alex E. Bernardini , Massimo Blasone

We consider two spacelike separated Dirac particles and construct five invariants under the spinor representations of the local proper orthochronous Lorentz groups. All of the constructed Lorentz invariants are identically zero for product…

量子物理 · 物理学 2022-03-14 Markus Johansson

We in this paper study quantum correlations for two neutral spin-particles coupled with a single-mode optical cavity through the usual magnetic interaction. Two-spin entangled states for both antiparallel and parallel spin-polarizations are…

量子物理 · 物理学 2017-08-02 Xue-Min Bai , Chun-Ping Gao , Jun-Qi Li , Ni Liu , J. -Q. Liang

New symmetry properties are found for pointlike scalar and Dirac particles (Higgs boson and all leptons) in Riemannian and Riemann-Cartan spacetimes in the presence of electromagnetic interactions. A Hermitian form of the Klein-Gordon…

高能物理 - 理论 · 物理学 2015-03-16 Alexander J. Silenko

The entanglement between $SU(2) \otimes SU(2)$ internal degrees of freedom of parity and helicity for reflected and transmitted waves of Dirac-like particles scattered by a potential step along an arbitrary direction on the $x-y$ plane is…

量子物理 · 物理学 2015-07-17 Victor A. S. V. Bittencourt , Salomon S. Mizrahi , Alex E. Bernardini

Reporting about the Wigner formalism for describing Dirac spinor structures through a covariant phase-space formulation, the quantum information quantifiers for purity and mutual information involving spin-parity (discrete) and…

量子物理 · 物理学 2020-09-18 Alex E. Bernardini

We present exact analytical solutions of the Dirac equation in $(1+1)$-dimensions for the generalized Kratzer potential by taking the pseudoscalar interaction term as an attractive Coulomb potential. We study the problem for a particular…

量子物理 · 物理学 2019-01-18 Altug Arda , Ramazan Sever
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