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Effective operators needed in single-beam two-photon transition calculations have been represented with modified Goldstone diagrams similar to the type suggested by Duan and co-workers [J. Chem. Phys. 121, 5071 (2004) ]. The rules to…

Chemical Physics · Physics 2019-09-09 Chang-Kui Duan , Michael F. Reid , Gang Ruan , hui-Ning Dong

We investigate the two-photon decay rate of a highly excited atomic state which can decay to bound states of lower energy via cascade processes. We show that a naive treatment of the process, based on the introduction of phenomenological…

Atomic Physics · Physics 2009-07-04 Ulrich D. Jentschura

Light-pulse atom interferometers are powerful quantum sensors, however, their accuracy for example in tests of the weak equivalence principle is limited by various spurious influences like magnetic stray fields or blackbody radiation.…

Quantum Physics · Physics 2020-05-12 Christian Ufrecht , Enno Giese

We developed a new method to calculate two-photon processes in quantum mechanics that replaces the infinite summation over the intermediate states by a perturbation expansion. This latter consists of a series of commutators that involve…

Quantum Physics · Physics 2018-04-25 Filippo Fratini , Laleh Safari , Pedro Amaro , José-Paulo Santos

Perturbative methods are attractive to describe the electronic structure of molecular systems because of their low-computational cost and systematically improvable character. In this work, a two-step perturbative approach is introduced…

Chemical Physics · Physics 2023-11-15 Loris Delafosse , Amr Hussein , Saad Yalouz , Vincent Robert

Coherent manipulation of quantum states of light is key to photonic quantum information processing. In this Letter, we show that a passive two-level nonlinearity suffices to implement non-Gaussian quantum operations on propagating field…

Quantum Physics · Physics 2024-09-06 Mads M. Lund , Fan Yang , Victor Rueskov Christiansen , Danil Kornovan , Klaus Mølmer

We consider the general scenario of an excited level |i> of a quantum system that can decay via two channels: (i) via a single-quantum jump to an intermediate, resonant level |bar m>, followed by a second single-quantum jump to a final…

Atomic Physics · Physics 2010-01-25 U. D. Jentschura

Perturbation theory with respect to the kinetic energy of the heavy component of a two-component quantum system is introduced. An effective Hamiltonian that is accurate to second order in the inverse heavy mass is derived. It contains a new…

Quantum Physics · Physics 2024-06-21 Ryan Requist

A new two-step renormalization procedure is proposed. In the first step, the effects of high-energy states are considered in the conventional (Feynman) perturbation theory. In the second step, the coupling to many-body states is eliminated…

High Energy Physics - Theory · Physics 2009-10-30 Koji Harada , Atsushi Okazaki

The problem of describing low-energy two-body scattering for systems with two open channels with different thresholds is addressed in the context of an effective field theory. In particular, the problem where the threshold is unnaturally…

Nuclear Theory · Physics 2009-11-10 Thomas D. Cohen , Boris A. Gelman , U. van Kolck

Light-cone perturbation theory is a powerful tool for calculating high-energy scattering amplitudes, particularly for quantum particles such as electrons, photons, or protons scattering off heavy nuclei, a process analogous to potential…

High Energy Physics - Phenomenology · Physics 2025-12-11 Stéphane Munier

We present a theoretical framework within which both the real and imaginary parts of the complex, two-photon exchange amplitude contributing to $K_L\rightarrow\mu^+\mu^-$ decay can be calculated using lattice QCD. The real part of this…

High Energy Physics - Phenomenology · Physics 2024-06-12 En-Hung Chao , Norman Christ

Two-photon absorption is theoretically analyzed within the semiclassical formalism of radiation-matter interaction. We consider an ensemble of inhomogeneously broadened three-level atoms subjected to the action of two counterpropagating…

Quantum Physics · Physics 2007-05-23 I. Perez-Arjona , G. J. de Valcarcel , Eugenio Roldan

Shaped laser pulses are a powerful tool to induce population transfer between electronic molecular states, and time-dependent perturbation theory is suitable for a description of such a transfer in weak external fields. The application of…

Mathematical Physics · Physics 2012-05-24 Klaus Renziehausen

The perturbation method is an approximation scheme with a solvable leading order. The standard way is to choose a non-interacting sector for the leading order. The adaptive perturbation method improves the solvable part by using all…

High Energy Physics - Theory · Physics 2022-10-17 Chen-Te Ma

For the one-dimensional, extended Peierls--Hubbard model we calculate analytically the ground-state energy and the single-particle gap to second order in the Coulomb interaction for a given lattice dimerization. The comparison with…

Strongly Correlated Electrons · Physics 2009-11-11 Anja Grage , Florian Gebhard , Joerg Rissler

We describe optimized coherent control methods for two-photon transitions in atoms of a ladder-type three-state energy configuration. Our approach is based on the spatial coherent control scheme which utilizes counter-propagating ultrashort…

Atomic Physics · Physics 2015-10-28 Woojun Lee , Hyosub Kim , Kyungtae Kim , Jaewook Ahn

A perturbative model is studied for the tunneling of many-particle states from the ground band to the first excited energy band, mimicking Landau-Zener decay for ultracold, spinless atoms in quasi-one dimensional optical lattices subjected…

Other Condensed Matter · Physics 2007-10-10 Andrea Tomadin , Riccardo Mannella , Sandro Wimberger

We present a high order perturbation approach to quantitatively calculate spectral densities in three distinct steps starting from the model Hamiltonian and the observables of interest. The approach is based on the perturbative continuous…

Strongly Correlated Electrons · Physics 2009-11-10 Christian Knetter , Kai P. Schmidt , Götz S. Uhrig

We derive the initial condition for the perturbative fragmentation function of a heavy quark through order O(alpha_s^2) in the MS-bar scheme. This initial condition is useful for computing heavy quark (or lepton, in case of QED) energy…

High Energy Physics - Phenomenology · Physics 2014-11-17 Kirill Melnikov , Alexander Mitov
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