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In this Letter, I work out spin entanglement properties of neutron-proton scattering using the exact S-matrix, generalizing previous works based on S wave. The dependence of spin entanglement on momentum, scattering angle, and initial spin…

Nuclear Theory · Physics 2023-06-09 Dong Bai

Entanglement of spins is analyzed for two electrons extracted from a mixed many electron state by projecting onto the two-electron subspace. The concurrence formulae are expressed in a compact form for states with a well defined square of…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 A. Ramsak , J. Mravlje , T. Rejec , A. Lautar

In the present paper an example of entanglement between two different kinds of interacting particles, photons and electrons is analysed. The initial-value problem of the Schroedinger equation is solved non-perturbatively for the system of a…

Quantum Physics · Physics 2010-10-05 Sandor Varro

Entropic entanglement measures of a two-dimensional system of two Coulombically interacting particles confined in an anisotropic harmonic potential are discussed in dependence on the anisotropy and the interaction strength. The harmonic…

Quantum Physics · Physics 2017-07-18 Przemyslaw Koscik , Anna Okopinska

We study entanglement of electron spins in many-body systems based on the Green's function approach. As an application we obtain the two-particle density matrix of a non-interacting electron gas and identify its two-spin density matrix as a…

Quantum Physics · Physics 2009-11-10 Sangchul Oh , Jaewan Kim

We calculate the Coulomb scattering amplitude for two electrons injected with opposite momenta in an interacting 2DEG. We include the effect of the Fermi liquid background by solving the 2D Bethe-Salpeter equation for the two-particle Green…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. S. Saraga , B. L. Altshuler , Daniel Loss , R. M. Westervelt

Using non-linear evolution equations of QCD, we compute the von Neumann entropy of the system of partons resolved by deep inelastic scattering at a given Bjorken $x$ and momentum transfer $q^2 = - Q^2$. We interpret the result as the…

High Energy Physics - Phenomenology · Physics 2017-06-21 Dmitri E. Kharzeev , Eugene M. Levin

We study scattering of charge and spin excitations in a system of interacting electrons in one dimension. At low densities electrons form a one-dimensional Wigner crystal. To first approximation the charge excitations are the phonons in the…

Mesoscale and Nanoscale Physics · Physics 2014-08-08 K. A. Matveev , A. V. Andreev , A. D. Klironomos

We show how entanglement between two conduction electrons is generated in the presence of a localized magnetic impurity embedded in an otherwise ballistic conductor of special geometry. This process is a generalization of beam-splitter…

Quantum Physics · Physics 2009-11-07 A. T. Costa , S. Bose

We propose a setup to generate non-local spin-EPR pairs via pair collisions in a 2D interacting electron gas, based on constructive two-particle interference in the spin singlet channel at the pi/2 scattering angle. We calculate the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. S. Saraga , B. L. Altshuler , Daniel Loss , R. M. Westervelt

In classical physics, entropy quantifies the randomness of large systems, where the complete specification of the state, though possible in theory, is not possible in practice. In quantum physics, despite its inherently probabilistic…

Quantum Physics · Physics 2022-09-28 Davi Geiger , Zvi Kedem

We study the entanglement entropy between the two outgoing particles in an elastic scattering process. It is formulated within an S-matrix formalism using the partial wave expansion of two-body states, which plays a significant role in our…

High Energy Physics - Theory · Physics 2016-07-08 Robi Peschanski , Shigenori Seki

The entanglement properties of neutron-proton scattering are investigated using a measure that counts the number of entangled pairs produced by the action of a scattering operator on a given initial neutron-proton state. All phase shifts…

Nuclear Theory · Physics 2023-06-16 Gerald A. Miller

This paper investigates the dynamical generation of entanglement in scattering systems, in particular two spin systems that interact via rotationally-invariant scattering. The spin degrees of freedom of the in-states are assumed to be in…

Quantum Physics · Physics 2009-11-11 N. L. Harshman

Unitarity and the optical theorem are used to derive the reduced density matrices of Compton scattering in the presence of a witness particle. Two photons are initially entangled wherein one photon participates in Compton scattering while…

High Energy Physics - Theory · Physics 2023-12-05 Shanmuka Shivashankara

We study the entanglement produced in transverse momentum by two-particle scattering at high energy. Employing the S-matrix framework for the derivation of reduced density matrices, we formulate the entanglement entropy for an inelastic…

High Energy Physics - Theory · Physics 2026-02-02 Robi Peschanski , Shigenori Seki

We study the behavior of entanglement between different degrees of freedom of scattering fermions, based on an exemplary QED scattering process $e^+e^-\longrightarrow\mu^+\mu^-$. The variation of entanglement entropy between two fermions…

High Energy Physics - Theory · Physics 2017-03-24 Jinbo Fan , Yanbin Deng , Yong-Chang Huang

Entanglement is the quintessential quantum phenomenon and a necessary ingredient in most emerging quantum technologies, including quantum repeaters, quantum information processing (QIP) and the strongest forms of quantum cryptography. Spin…

The Wehrl entropy of a quantum state is the Shannon entropy of its coherent-state distribution function, and remains non-zero even for pure states. We investigate the relationship between this entropy and the many-particle quantum…

Statistical Mechanics · Physics 2025-07-14 Chen Xu , Yiqi Yu , Peng Zhang

Quantum entanglement is a concept commonly used with reference to the existence of certain correlations in quantum systems that have no classical interpretation. It is a useful resource to enhance the mutual information of memory channels…

Quantum Physics · Physics 2009-11-13 Tina A. C. Maiolo , Fabio Della Sala , Luigi Martina , Giulio Soliani