Candidate entanglement invariants for two Dirac spinors

نویسندگان

چکیده

We consider two spacelike separated Dirac particles and construct five invariants under the spinor representations of local proper orthochronous Lorentz groups. All constructed are identically zero for product states. The behaviour unitary evolutions that act unitarily on any subspace with fixed particle momenta is studied. have invariant absolute values such subspaces if generated by zero-mass Hamiltonians. Some them also case nonzero-mass. Therefore, they considered potential candidates describing entanglement particles, either or arbitrary mass. Furthermore, their relations to Wootters concurrence investigated in Foldy-Wouthuysen picture given.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Quantum tomography for Dirac spinors

We present a tomographic scheme, based on spacetime symmetries, for the reconstruction of the internal degrees of freedom of a Dirac spinor. We discuss the circumstances under which the tomographic group can be taken as SU(2), and how this crucially depends on the choice of the gamma matrix representation. A tomographic reconstruction process based on discrete rotations is considered, as well a...

متن کامل

Spinors and the Dirac Equation

The Dirac equation can be derived using the relativistic relation between mass and energy E = m (normalized units) and the symmetries of the universe, so it is necessary to have a firm grasp on the latter. The relativistic symmetry group is the orthochronous Poincare group SO(1, 3) n R, though we shall mainly use just the orthochronous Lorentz group SO(1, 3). Its Lie algebra is so(1, 3). We fir...

متن کامل

Harmonic Spinors for Twisted Dirac Operators

We show that for a suitable class of “Dirac-like” operators there holds a Gluing Theorem for connected sums. More precisely, if M1 and M2 are closed Riemannian manifolds of dimension n ≥ 3 together with such operators, then the connected sum M1#M2 can be given a Riemannian metric such that the spectrum of its associated operator is close to the disjoint union of the spectra of the two original ...

متن کامل

Mapping curved spacetimes into Dirac spinors

We show how to transform a Dirac equation in a curved static spacetime into a Dirac equation in flat spacetime. In particular, we show that any solution of the free massless Dirac equation in a 1 + 1 dimensional flat spacetime can be transformed via a local phase transformation into a solution of the corresponding Dirac equation in a curved static background, where the spacetime metric is encod...

متن کامل

Representation-independent manipulations with Dirac spinors

Dirac matrices, also known as gamma matrices, are defined only up to a similarity transformation. Usually, some explicit representation of these matrices is assumed in order to deal with them. In this article, we show how it is possible to proceed without any such assumption. Various important identities involving Dirac matrices and spinors have been derived without assuming any representation ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Physical review

سال: 2022

ISSN: ['0556-2813', '1538-4497', '1089-490X']

DOI: https://doi.org/10.1103/physreva.105.032402