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We study the structure of maps that Lorentz boosts induce on the spin degree of freedom of a system consisting of two massive spin-$1/2$ particles. We consider the case where the spin state is described by the Werner state and the momenta…

Quantum Physics · Physics 2016-04-13 Veiko Palge , Jacob Dunningham

In this work we study the entanglement properties under a Lorentz boost of a pair of spin- 1 massive particles, with spin and momentum as the sole degrees of freedom of the system. Different cases for entanglement between spins and momenta…

Quantum Physics · Physics 2011-09-28 Esteban Castro-Ruiz , Eduardo Nahmad-Achar

We analize the entanglement change, under a Lorentz transformation, of a system consisting of two spin-one particles, considering different partitions of the Hilbert space, which has spin and momentum degrees of freedom. We show that there…

Quantum Physics · Physics 2012-12-05 Esteban Castro-Ruiz , Eduardo Nahmad-Achar

We describe the spin and momentum degrees of freedom of a system of two massive spin--$\tfrac{1}{2}$ particles as a 4 qubit system. Then we explicitly show how the entanglement changes between different partitions of the qubits, when…

Quantum Physics · Physics 2012-02-01 Nicolai Friis , Reinhold A. Bertlmann , Marcus Huber , Beatrix C. Hiesmayr

We study the properties of quantum information and quantum entanglement in moving frames. We show that the entanglement between the spins and the momenta of two particles can be interchanged under a Lorentz transformation, so that a pair of…

Quantum Physics · Physics 2007-05-23 Robert M. Gingrich , Christoph Adami

Simple examples are presented of Lorentz transformations that entangle the spins and momenta of two particles with positive mass and spin 1/2. They apply to indistinguishable particles, produce maximal entanglement from finite Lorentz…

Quantum Physics · Physics 2015-06-26 Thomas F. Jordan , Anil Shaji , E. C. G. Sudarshan

This paper was concerned with the spin-momentum correlation in single-particle quantum states, which is described by the mixed states under Lorentz transformations. For convenience, instead of using the superposition of momenta we use only…

Quantum Physics · Physics 2010-08-05 M. A. Jafarizadeha , M. Mahdian

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…

Quantum Physics · Physics 2018-10-04 Victor A. S. V. Bittencourt , Alex E. Bernardini , Massimo Blasone

In order to understand the characteristics of quantum entanglement of massive particles under Lorentz boost, we first introduce a relevant relativistic spin observable, and evaluate its expectation values for the Bell states under Lorentz…

Quantum Physics · Physics 2016-09-08 Daeho Lee , Ee Chang-Young

Lorentz transformations of spin density matrices for a particle with positive mass and spin 1/2 are described by maps of the kind used in open quantum dynamics. They show how the Lorentz transformations of the spin depend on the momentum.…

Quantum Physics · Physics 2008-11-26 Thomas F. Jordan , Anil Shaji , E. C. G. Sudarshan

We analyze multipartite entanglement in systems of spin-1/2 particles from a relativistic perspective. General conditions which have to be met for any classification of multipartite entanglement to be Lorentz invariant are derived, which…

Quantum Physics · Physics 2012-02-01 Marcus Huber , Nicolai Friis , Andreas Gabriel , Christoph Spengler , Beatrix C. Hiesmayr

In this paper we explore the entanglement of two relativistic spin-$1/2$ particles with continuous momenta. The spin state is described by the Bell state and the momenta are given by Gaussian distributions of product form. Transformations…

Quantum Physics · Physics 2019-01-23 Veiko Palge , Jacob Dunningham , Stefan Groote , Hannes Liivat

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…

Quantum Physics · Physics 2018-03-21 Victor A. S. V. Bittencourt , Alex E. Bernardini , Massimo Blasone

The effect of the relativistic spin rotation on two--particle spin states, conditioned by the setting of the spins of the particles in their rest frames and by the noncommutativity of the Lorentz transformations along noncolinear…

High Energy Physics - Phenomenology · Physics 2009-11-10 R. Lednicky , V. L. Lyuboshitz , V. V. Lyuboshitz

It is well known that entanglement under Lorentz boosts is highly dependent on the boost scenario in question. For single particle states, a spin-momentum product state can be transformed into an entangled state. However, entanglement is…

Quantum Physics · Physics 2021-09-23 Marcos Basso , Jonas Maziero

The effect of the relativistic spin rotation, conditioned by the setting of the spin in the rest frame of a particle and by the noncommutativity of the Lorentz transformations along noncolinear directions, is discussed. In connection with…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Lednicky , V. L. Lyuboshitz , V. V. Lyuboshitz

The concept of the Lorentz-invariant mass of a group of particles is shown to be applicable to biphoton states formed in the process of spontaneous parametric down conversion. The conditions are found when the Lorentz-invariant mass is…

Quantum Physics · Physics 2019-06-26 S. V. Vintskevich , D. A. Grigoriev , M. V. Fedorov

We study the transformation of maximally entangled states under the action of Lorentz transformations in a fully relativistic setting. By explicit calculation of the Wigner rotation, we describe the relativistic analog of the Bell states as…

Quantum Physics · Physics 2007-05-23 Paul M. Alsing , Gerard J. Milburn

We revise the Dirac equation for a free particle and investigate Lorentz transformations on spinors. We study how the spin quantization axis changes under Lorentz transformations, and evince the interplay between spin and momentum in this…

Quantum Physics · Physics 2012-08-27 Tiago Debarba , Reinaldo O. Vianna

We study special relativistic effects on the entanglement between either spins or momenta of composite quantum systems of two spin-1/2 massive particles, either indistinguishable or distinguishable, in inertial reference frames in relative…

Quantum Physics · Physics 2012-09-14 C. Cafaro , S. Capozziello , S. Mancini
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