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We study the problems of deconfinement, chiral symmetry restoration and localisation of the low Dirac eigenmodes in a toy model of QCD, namely unimproved staggered fermions on lattices of temporal extension $N_T=4$. This model displays a…

High Energy Physics - Lattice · Physics 2017-03-08 Matteo Giordano , Sandor D. Katz , Tamas G. Kovacs , Ferenc Pittler

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

Quantum dynamics of a Dirac particle in a 1D box with moving wall is studied. Dirac equation with time-dependent boundary condition is mapped onto that with static one, but with time-dependent mass. Exact analytical solution of such…

Quantum Physics · Physics 2024-06-20 J. Dittrich , S. Rakhmanov , D. Matrasulov

The Fock space of a system of indistinguishable particles is isomorphic (in a non-unique way) to the state-space of a composite i.e., many-modes, quantum system. One can then discuss quantum entanglement for fermionic as well as bosonic…

Quantum Physics · Physics 2009-11-07 P. Zanardi

The effect of an exponentially decaying magnetic field on the dynamics of Dirac fermions in 3+1 dimensions is explored. The spatially decaying magnetic field is assumed to be aligned in the third direction, and is defined by…

High Energy Physics - Phenomenology · Physics 2013-05-30 N. Sadooghi , F. Taghinavaz

The spatial modulation of the Fermi velocity for gapless Dirac electrons in quantum materials is mathematically equivalent to the problem of massless fermions on a certain class of curved spacetime manifolds. We study null geodesic lensing…

Mesoscale and Nanoscale Physics · Physics 2022-06-29 Seth M. Davis , Matthew S. Foster

In this paper, we present a model which exhibits two identical $\Xi$-type three-level atoms interacting with a single-mode field with $k$-photon transition in an optical cavity enclosed by a Kerr medium. Considering full nonlinear…

Quantum Physics · Physics 2015-09-03 H. R. Baghshahi , M. K. Tavassoly

We investigate the degree of entanglement between an atom and a driven cavity mode, in the presence of dissipation. Previous work has shown that in the limit of weak driving fields, the steady state entanglement is proportional to the…

Quantum Physics · Physics 2017-11-15 Robert Rogers , Nick Cummings , Leno Pedrotti , Perry Rice

We propose a \emph{model-independent} approach to study entanglement creation due to the dynamics between two asymptotic quantum regimes in the framework of homogeneous and isotropic universe. We realize it by Pad\'e expansion to…

General Relativity and Quantum Cosmology · Physics 2019-09-25 Orlando Luongo , Stefano Mancini

We explore the question of finiteness of the entanglement entropy in gravitational theories whose emergent space is the target space of a holographic dual. In the well studied duality of two-dimensional non-critical string theory and $c=1$…

High Energy Physics - Theory · Physics 2022-12-28 Sumit R. Das , Antal Jevicki , Junjie Zheng

We study the entanglement of families of Unruh modes in the Bell states $|\Phi^\pm\rangle =1/\sqrt{2}(|00\rangle\pm|11\rangle)$ and $|\Psi^\pm\rangle=1/\sqrt{2}(|01\rangle\pm|10\rangle)$ shared by two accelerated observers and find…

Quantum Physics · Physics 2015-09-02 Benedikt Richter , Yasser Omar

We analyse an ambiguity in previous works on entanglement of fermionic fields in non-inertial frames. This ambiguity, related to the anticommutation properties of field operators, leads to non-unique results when computing entanglement…

Quantum Physics · Physics 2011-06-27 M. Montero , E. Martin-Martinez

We find the density matrix corresponding to the vacuum state of a massless Dirac field in two dimensions reduced to a region of the space formed by several disjoint intervals. We calculate explicitly its spectral decomposition. The…

High Energy Physics - Theory · Physics 2020-07-16 H. Casini , M. Huerta

We compare the capacity of entanglement with the entanglement entropy by considering various aspects of these quantities for free bosonic and fermionic models in one spatial dimension, both in the continuum and on the lattice. Substantial…

Statistical Mechanics · Physics 2023-04-20 Raúl Arias , Giuseppe Di Giulio , Esko Keski-Vakkuri , Erik Tonni

In this work we consider $(1,1)-$dimensional resonant Dirac fermionic states on tube-like topological defects. The defects are formed by rings in $(2,1)$ dimensions, constructed with two scalar field $\phi$ and $\chi$, and embedded in the…

High Energy Physics - Theory · Physics 2014-05-28 R. Casana , A. R. Gomes , G. V. Martins , F. C. Simas

We analytically study interacting Dirac fermions, described by the Thirring model, under weak local particle number measurements with monitoring rate $\gamma$. This system maps to a bosonic replica field theory, analyzed via the…

Statistical Mechanics · Physics 2025-02-24 Thomas Martin Müller , Michael Buchhold , Sebastian Diehl

High-mobility graphene hosting massless charge carriers with linear dispersion provides a promising platform for electron optics phenomena. Inspired by the physics of dielectric optical micro-cavities where the photon emission…

Mesoscale and Nanoscale Physics · Physics 2022-12-15 Jule-Katharina Schrepfer , Szu-Chao Chen , Ming-Hao Liu , Klaus Richter , Martina Hentschel

We study the structure of vacuum entanglement for two complimentary segments of a linear harmonic chain, applying the modewise decomposition of entangled gaussian states discussed in \cite {modewise}. We find that the resulting entangled…

Quantum Physics · Physics 2007-05-23 Alonso Botero , Benni Reznik

We study the entanglement Hamiltonian for a spherical domain in the ground state of a nonrelativistic free-fermion gas in arbitrary dimensions. Decomposed into a set of radial entanglement Hamiltonians, we show that the entanglement…

Statistical Mechanics · Physics 2024-05-15 Viktor Eisler

Representing massless Dirac fermions on a spatial lattice poses a potential challenge known as the Fermion Doubling problem. Addition of a quadratic term to the Dirac Hamiltonian circumvents this problem. We show that the modified…

Mesoscale and Nanoscale Physics · Physics 2015-09-15 K. M. Masum Habib , Redwan N. Sajjad , Avik W. Ghosh