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We show an $\textit{ab initio}$ construction of the energy density functional (EDF) for electron systems using the functional renormalization group. The correlation energies of the homogeneous electron gas given in our framework reproduce…

Strongly Correlated Electrons · Physics 2021-08-03 Takeru Yokota , Tomoya Naito

This work addresses the problem of infrared mass renormalization for a scalar electron in a translation-invariant model of non-relativistic QED. We assume that the interaction of the electron with the quantized electromagnetic field…

Mathematical Physics · Physics 2007-05-23 Volker Bach , Thomas Chen , Juerg Froehlich , Israel Michael Sigal

The electromagnetically induced transparency (EIT) in an $N$ configuration is studied under both resonant and off-resonant conditions. In a certain off-resonant condition the dark state of the four level system, which is almost the same as…

Quantum Physics · Physics 2007-11-06 Bin Luo , Xiao Li , Hong Guo

We analyze a simple classical Hamiltonian system within the hypothesis of renormalizability and isotropy that essentially led Maxwell to his ubiquitous Gaussian distribution of velocities. We show that the equilibrium-like power-law energy…

Statistical Mechanics · Physics 2009-10-31 Renio S. Mendes , Constantino Tsallis

The electromagnetically induced transparency (EIT) phenomenon in earlier universe is considered. We evaluated the elementary processes of the single scattering of photon on the hydrogen atom with the purpose of their use in the tasks of the…

Atomic Physics · Physics 2022-02-10 D. Solovyev , V. K. Dubrovich

The renormalization group method is employed to study the effective potential in curved spacetime with torsion. The renormalization-group improved effective potential corresponding to a massless gauge theory in such a spacetime is found and…

High Energy Physics - Theory · Physics 2009-09-17 A. A. Bytsenko , E. Elizalde , S. D. Odintsov

We newly develop a renormalization group (RG) improvement for thermally resummed effective potentials. In this method, $\beta$-functions are consistently defined in resummed perturbation theories, so that order-by-order RG invariance is not…

High Energy Physics - Phenomenology · Physics 2024-03-12 Koichi Funakubo , Eibun Senaha

We study three well known models of matter coupled to the ultraviolet cutoff, quantized radiation field and to the Coulomb potential of arbitrarily many nuclei. Two are nonrelativistic: the first uses the kinetic energy (p+eA(x))^2 and the…

Mathematical Physics · Physics 2007-05-23 Elliott H. Lieb , Michael Loss

We develop a renormalization scheme which extends the classical Rauzy-Veech induction used to study interval exchange tranformations (IETs) and allows to study generalized interval exchange transformations (GIETs) $T: [0,1) \to [0,1)$ with…

Dynamical Systems · Mathematics 2025-04-29 Charles Fougeron , Sophie Schmidhuber , Corinna Ulcigrai

We formulate a three-dimensional semi-classical model to address triple and double ionization in three-electron atoms driven by intense infrared laser pulses. During time propagation, our model fully accounts for the Coulomb singularities,…

Atomic Physics · Physics 2022-04-20 M. B. Peters , G. P. Katsoulis , A. Emmanouilidou

Current models of inter-nucleon interactions are built within the frame of Effective Field Theories (EFTs). Contrary to traditional nuclear potentials, EFT interactions require a renormalization of their parameters in order to derive…

Nuclear Theory · Physics 2020-05-19 Mehdi Drissi , Thomas Duguet , Vittorio Soma

When studying the collective motion of biological groups a useful theoretical framework is that of ferromagnetic systems, in which the alignment interactions are a surrogate of the effective imitation among the individuals. In this context,…

Statistical Mechanics · Physics 2023-01-13 Andrea Cavagna , Antonio Culla , Tomás S. Grigera

Electromagnetically induced transparency (EIT) cooling has established itself as one of the most widely used cooling schemes for trapped ions during the past twenty years. Compared to its alternatives, EIT cooling possesses important…

Quantum Physics · Physics 2021-08-04 Shuo Zhang , Tian-Ci Tian , Zheng-Yang Wu , Zong-Sheng Zhang , Xin-Hai Wang , Wei Wu , Wan-Su Bao , Chu Guo

The active control of electromagnetically induced transparency (EIT) metamaterials (MM) has the potential to revolutionize communication networks without relying on quantum technology. However, current reconfigurable systems offer limited…

Applied Physics · Physics 2023-06-16 Sihong Chen , Taisong Pan , Zhengcheng Mou , Bing-Zhong Wang , Yuan Lin

Light and matter can intertwine to create entirely new quantum states in the so-called strong-coupling regime, allowing unprecedented control over electromagnetic waves. In this work, strong-coupling mediated polaritonic states are…

We present a formulation and implementation of an equation-of-motion (EOM) extension of the multireference driven similarity renormalization group (MR-DSRG) formalism for ionization potentials (IP-EOM-DSRG). The IP-EOM-DSRG formalism…

Chemical Physics · Physics 2025-06-18 Zijun Zhao , Shuhang Li , Francesco A. Evangelista

The Kadanoff-Wilson renormalization group approach for a scalar self-interacting field theor generally coupled with gravity is presented. An average potential that monitors the fluctuations of the blocked field in different scaling regimes…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Alfio Bonanno

We prove that a model atom having one bound state will be fully ionized by a time periodic potential of arbitrary strength $r$ and frequency $\omega$. The survival probability is for small $r$ given by $e^{-\Gamma t}$ for times of order…

Atomic Physics · Physics 2007-05-23 Ovidiu Costin , Joel L. Lebowitz , Alexander Rokhlenko

Schr\"odinger equation with potential $-g/r^2$ exhibits a limit cycle, described in the literature in a broad range of contexts using various regularizations of the singularity at $r=0$. Instead, we use the renormalization group…

We consider electron impact single ionization of an atom at large energy-momentum transfer in the nearly Bethe-ridge kinematics. For evaluation of the ionization amplitude, a plane wave Born series is employed. A regularization procedure is…

Atomic Physics · Physics 2007-05-23 Konstantin A Kouzakov , Pavel S Vinitsky , Yuri V Popov , Claude Dal Cappello