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We give a new characterization of a continuous embedding between two function spaces of type $G\Gamma$. Such spaces are governed by functionals of type \begin{equation*} \|f\|_{G\Gamma(r,q;w,\delta)} := \left(\int_{0}^{L} \left(…

Functional Analysis · Mathematics 2026-03-05 Amiran Gogatishvili , Zdeněk Mihula , Luboš Pick , Hana Turčinová , Tuğçe Ünver

The scaling behaviors of graphene nanoribbon (GNR) Schottky barrier field-effect transistors (SBFETs) are studied by solving the non-equilibrium Green's function (NEGF) transport equation in an atomistic basis set self-consistently with a…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Yijian Ouyang* , Youngki Yoon* , Jing Guo

Graphene has emerged as a promising platform to bring nonlinear quantum optics to the nanoscale, where a large intrinsic optical nonlinearity enables long-lived and actively tunable plasmon polaritons to strongly interact. Here we…

We give the large N limit of the effective potential for the O(N) linear sigma model in four dimensions in terms of the Lambert W function. The effective potential is fully consistent with the renormalization group, and it admits an…

High Energy Physics - Theory · Physics 2013-03-14 Hidenori Sonoda

A distant-neighbor quantum-mechanical method is used to study the nonlinear optical wave mixing in graphene nanoflakes (GNFs), including sum- and difference-frequency generation, as well as four-wave mixing. Our analysis shows that…

Optics · Physics 2022-03-11 Hanying Deng , Changming Huang , Yingji He , Fangwei Ye

We present the first results of numerical simulations of a 2+1 dimensional fermion field theory based on a recent proposal for a model of graphene, consisting of N_f four-component Dirac fermions moving in the plane and interacting via an…

Strongly Correlated Electrons · Physics 2008-12-18 Simon Hands , Costas Strouthos

A 200 mm processing platform for the large-scale production of graphene field-effect transistor-quantum dot (GFET-QD) hybrid photodetectors is demonstrated. Comprehensive statistical analysis of electric data shows a high yield (96%) and…

An alternate formalism is developed to determine the energy eigenvalues of quantum mechanical systems, confined within a rigid impenetrable spherical box of radius $r_0$, in the framework of Wentzel-Kramers-Brillouin (WKB) approximation.…

Quantum Physics · Physics 2007-05-23 Anjana Sinha

Quantum embedding approaches involve the self-consistent optimization of a local fragment of a strongly correlated system, entangled with the wider environment. The `energy-weighted' density matrix embedding theory (EwDMET) was established…

Strongly Correlated Electrons · Physics 2021-02-23 P. V. Sriluckshmy , Max Nusspickel , Edoardo Fertitta , George H. Booth

Leveraging quantum effects in metrology such as entanglement and coherence allows one to measure parameters with enhanced sensitivity. However, time-dependent noise can disrupt such Heisenberg-limited amplification. We propose a…

Quantum Physics · Physics 2022-09-23 Yulong Dong , Jonathan Gross , Murphy Yuezhen Niu

This paper presents an electrolytically gated broadband microwave sensor where atomically-thin graphene layers are integrated into coplanar waveguides and coupled with microfluidic channels. The interaction between a solution under test and…

We introduce a diagnostic -- the quantum noise fraction $\beta$ -- that determines the maximum sensitivity improvement achievable through quantum enhancement for any gravitational wave detector. Applied to the landscape of proposed…

General Relativity and Quantum Cosmology · Physics 2026-05-12 Sergio Gaudio

Previously, we had proposed a gravitational wave detector that incorporates the white-light-cavity (WLC) effect using a compound cavity for signal recycling (CC-SR). Here, we first use an idealized model for the negative dispersion medium…

General Relativity and Quantum Cosmology · Physics 2015-10-28 Minchuan Zhou , Zifan Zhou , Selim M. Shahriar

Quantum states of light can enable sensing configurations with sensitivities beyond the shot-noise limit (SNL). In order to better take advantage of available quantum resources and obtain the maximum possible sensitivity, it is necessary to…

Quantum Physics · Physics 2022-07-21 Mohammadjavad Dowran , Timothy S. Woodworth , Ashok Kumar , Alberto M. Marino

The conductance G of an interacting nano-wire containing an impurity and coupled to non-interacting semi-infinite leads is studied using a functional renormalization group method. We obtain results for microscopic lattice models without any…

Strongly Correlated Electrons · Physics 2009-11-10 V. Meden , S. Andergassen , W. Metzner , U. Schollwoeck , K. Schoenhammer

We couple photoluminescent semiconducting 7-atom wide armchair edge graphene nanoribbons to plasmonic nanoantenna arrays and demonstrate an enhancement of the photoluminescence and Raman scattering intensity of the nanoribbons by more than…

We describe charging a quantum dot induced electrostatically within a semiconducting graphene nanoribbon by electrons or holes. The applied model is based on a tight-binding approach with the electron-electron interaction introduced by a…

Mesoscale and Nanoscale Physics · Physics 2015-09-30 D. P. Żebrowski , B. Szafran

We develop a black hole response formulation of worldline quantum field theory (WQFT) adapted to the gravitational self-force expansion. Integrating out the worldline and graviton fluctuations yields connected graviton response functions:…

High Energy Physics - Theory · Physics 2026-05-08 Lara Bohnenblust , Carl Jordan Eriksen , Jitze Hoogeveen , Gustav Uhre Jakobsen , Jan Plefka

The Loewner equation (LE) is used to obtain conformal mappings that lead to exact and analytical expressions for several electrostatic properties of realistic quasi-unidimensional nanoelectromechanical systems (NEMS). The LE approach also…

Mesoscale and Nanoscale Physics · Physics 2019-01-16 Edgar Marcelino , Thiago A. de Assis , Caio M. C. de Castilho , Roberto F. S. Andrade

We develop a comprehensive theoretical framework that unifies quantum emission dynamics in one-dimensional Lieb lattices, bridging the gap between ideal flat-band coherence and realistic narrow-band dissipation. By coupling an emitter to…

Optics · Physics 2026-05-08 Zhiyong Liu , Yue Sun , Ying Hu