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A method is developed for realizing entanglement and general second quantized fermionic and bosonic fields in the framework of the fermionic projector.

Mathematical Physics · Physics 2014-11-20 Felix Finster

We introduce geometric measures of entanglement for indistinguishable particles, which apply to mixed states, multipartite systems, and arbitrary dimensions. They are based on generalized (i.e., not necessarily finite) norms on the set of…

Quantum Physics · Physics 2015-07-17 Florian Sokoli , Burkhard Kümmerer

We analyze fermionic modes as fundamental entities for quantum information processing. To this end we construct a density operator formalism on the underlying Fock space and demonstrate how it can be naturally and unambiguously equipped…

Quantum Physics · Physics 2013-02-26 Nicolai Friis , Antony R. Lee , David Edward Bruschi

Despite significant progress in experimental quantum sciences, measuring entanglement entropy remains challenging. Through a geometric perspective, we reveal the intrinsic anti-symmetric nature of entanglement. We prove that most…

Quantum Physics · Physics 2024-09-27 Peyman Azodi , Benjamin Lienhard , Herschel A. Rabitz

A frame-like action for massless mixed-symmetry fermionic fields in Minkowski space is constructed. The action is uniquely determined by gauge invariance.

High Energy Physics - Theory · Physics 2010-12-17 E. D. Skvortsov , Yu. M. Zinoviev

The problem of inferring the outcome of a simultaneous measurement of two non-commuting observables is addressed. We show that for certain pairs with dense spectra, precise inferences of the measurement outcomes are possible in pre-and…

Quantum Physics · Physics 2007-10-16 Alonso Botero

Introducing constant background fields into the noncommutative gauge theory, we first obtain a Hermitian fermion Lagrangian which involves a Lorentz violation term, then we generalize it to a new deformed canonical noncommutation relations…

High Energy Physics - Phenomenology · Physics 2015-03-03 Cui-bai Luo , Feng-yao Hou , Zhu-fang Cui , Xiao-jun Liu , Hong-shi Zong

Unlike bosons, fermions always have a non-trivial entanglement. Intuitively, Slater determinantal states should be the least entangled states. To make this intuition precise we investigate entropy and entanglement of fermionic states and…

Operator Algebras · Mathematics 2016-05-02 Eric A. Carlen , Elliott H. Lieb , Robin Reuvers

We present a relativistic analysis of fermions in an external electric field by non-perturbatively solving the Dirac equation with a static gauge. Different from the magnetic field effect, the fermion wave function in an electric field…

Nuclear Theory · Physics 2026-05-08 Xuan Zhao , Yi Wang , Pengfei Zhuang

Entanglement plays a central role in numerous fields of quantum science. However, as one departs from the typical "Alice versus Bob" setting into the world of indistinguishable fermions, it is not immediately clear how the concept of…

Quantum Physics · Physics 2022-07-11 Lexin Ding

Entanglement entropy is a useful probe of compressible quantum matter because it can detect the existence of Fermi surfaces, both of microscopic fermionic degrees of freedom and of "hidden" gauge charged fermions. Much recent attention has…

High Energy Physics - Theory · Physics 2014-07-16 Brian Swingle , Liza Huijse , Subir Sachdev

We analyze correlations between pairs of particle detectors quadratically coupled to a real scalar field. We find that, while a single quadratically coupled detector presents no divergences, when one considers pairs of detectors there…

Quantum Physics · Physics 2017-11-08 Allison Sachs , Robert B. Mann , Eduardo Martin-Martinez

The problem of neutral fermions subject to an inversely linear potential is revisited. It is shown that an infinite set of bound-state solutions can be found on the condition that the fermion is embedded in an additional uniform background…

Quantum Physics · Physics 2009-11-11 Antonio S. de Castro

In this article we investigate the entanglement behavior of quantum states of fermionic system in accelerated frame. It was known that unlike scalar case the entanglement of fermionic maximally entangled states survives even in the infinite…

Quantum Physics · Physics 2013-05-30 Jinho Chang , Younghun Kwon

We study the capacity of entanglement as an alternative to entanglement entropies in estimating the degree of entanglement of quantum bipartite systems over fermionic Gaussian states. In particular, we derive the exact and asymptotic…

Mathematical Physics · Physics 2023-10-05 Youyi Huang , Lu Wei

Nonanticommutativity in an open super string moving in the presence of a background antisymmetric tensor field $\mathcal{B}_{\mu \nu}$ is investigated in a conformal field theoretic approach, leading to nonanticommutative structures. In…

High Energy Physics - Theory · Physics 2008-11-26 Sunandan Gangopadhyay , Arindam Ghosh Hazra

Entanglement in finite and semi-infinite free Fermionic chains is studied. A parallel is drawn with the analysis of time and band limiting in signal processing. It is shown that a tridiagonal matrix commuting with the entanglement…

Mathematical Physics · Physics 2021-08-25 Nicolas Crampé , Rafael I. Nepomechie , Luc Vinet

In this study, we investigate the fermionic Schwinger effect in the presence of a constant magnetic field within $(1+3)-$dimensional Minkowski spacetime, considering both constant and pulsed electric fields. We analyze the correlations…

High Energy Physics - Theory · Physics 2025-01-28 Shagun Kaushal

We study quantum information aspects of the fermionic entanglement negativity recently introduced in [Phys. Rev. B 95, 165101 (2017)] based on the fermionic partial transpose. In particular, we show that it is an entanglement monotone under…

Quantum Physics · Physics 2019-02-15 Hassan Shapourian , Shinsei Ryu

A definition of detailed balance tailored to a system of indistinguishable fermions is suggested and studied using an entangled fermionic state. This is done in analogy to a known characterization of standard quantum detailed balance with…

Mathematical Physics · Physics 2021-08-31 Rocco Duvenhage