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The interaction between light and matter is one of the oldest research areas of quantum mechanics, and a field that just keeps on delivering new insights and applications. With the arrival of cavity and circuit quantum electrodynamics we…

Quantum Physics · Physics 2024-02-21 Daniel Burgarth , Paolo Facchi , Robin Hillier , Marilena Ligabò

Single-qubit gates are in many quantum platforms applied using a linear drive resonant with the qubit transition frequency which is often theoretically described within the rotating-wave approximation (RWA). However, for fast gates on…

We investigate the applicability of the two major approximations which are most commonly employed in the study of the quantum Rabi model, namely the description of a resonant cavity mode as a single-mode quantized field and the use of the…

Quantum Physics · Physics 2017-09-25 I. D. Feranchuk , A. V. Leonov , O. D. Skoromnik

Gravitational-wave observations of quasicircular compact binary mergers imply complicated posterior measurements of their parameters. Though Gaussian approximations to the pertinent likelihoods have decades of history in the field, the…

Instrumentation and Methods for Astrophysics · Physics 2022-12-08 Vera Delfavero , Richard O'Shaughnessy , Daniel Wysocki , Anjali Yelikar

We study the convergence properties of the two-dimensional Rigorous Coupled Wave Approach (RCWA) for p-polarized monochromatic incident light. The RCWA is a semi-analytical numerical method that is widely used to solve the boundary-value…

Numerical Analysis · Mathematics 2020-01-28 Benjamin J. Civiletti , Akhlesh Lakhtakia , Peter B. Monk

Recent experiments on quantum behavior in microfabricated solid-state systems suggest tantalizing connections to quantum optics. Several of these experiments address the prototypical problem of cavity quantum electrodynamics: a two-level…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 E. K. Irish , J. Gea-Banacloche , I. Martin , K. C. Schwab

Rotating wave approximation (RWA) plays a key rule in quantum optics to solve some Schr\"{o}dinger equation approximately. For example, it is well known that RWA has been used to calculate the transition probability. However, so far no one…

Quantum Physics · Physics 2016-04-29 Dafa Li , Yanjun Hao

We report an all-electron, atomic orbital (AO) based, two-component (2C) implementation of the $GW$ approximation (GWA) for closed-shell molecules. Our algorithm is based on the space-time formulation of the GWA and uses analytical…

Chemical Physics · Physics 2023-09-11 Arno Förster , Erik van Lenthe , Edoardo Spadetto , Lucas Visscher

We perform a comprehensive study of gravitational waves in the context of the higher-order quadratic scalar curvature gravity, which encompasses the ordinary Einstein-Hilbert term in the action plus an $R^{2}$ contribution and a term of the…

General Relativity and Quantum Cosmology · Physics 2022-12-06 S. G. Vilhena , L. G. Medeiros , R. R. Cuzinatto

We study the emission spectrum of two distant qubits strongly coupled to a waveguide by using the numerical and analytical approaches, which are beyond the Markovian approximation and the rotating-wave approximation (RWA). The numerical…

Quantum Physics · Physics 2023-08-16 Rongzhen Hu , JunYan Luo , Yiying Yan

The periodic standing wave method studies circular orbits of compact objects coupled to helically symmetric standing wave gravitational fields. From this solution an approximation is extracted for the strong field, slowly inspiralling…

General Relativity and Quantum Cosmology · Physics 2009-03-24 Napoleon Hernandez , Richard H. Price

We present a novel approach for studying the dynamics of a superconducting qubit in a cavity. We succeed in linearizing the Hamiltonian through the application of an appropriate unitary transformation followed by a rotating wave…

Quantum Physics · Physics 2015-06-12 Dagoberto S. Freitas , A. Vidiella-Barranco , J. A. Roversi

First experimental results of a feasibility study of a gravitational wave detector based on two coupled superconducting cavities are presented. Basic physical principles underlying the detector behaviour and sensitivity limits are…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ph. Bernard , G. Gemme , R. Parodi , E. Picasso

We consider three two-level atoms inside a one-dimensional cavity, interacting with the electromagnetic field in the rotating wave approximation (RWA), commonly used in the atom-radiation interaction. One of the three atoms is initially…

Quantum Physics · Physics 2009-11-11 I. Dolce , R. Passante , F. Persico

Gutzwiller wavefunction is a physically well motivated trial wavefunction for describing correlated electron systems. In this work, a new approximation is introduced to facilitate evaluation of the expectation value of any operator within…

Strongly Correlated Electrons · Physics 2015-08-25 Jun Liu , Yongxin Yao , Cai-Zhuang Wang , Kai-Ming Ho

We present results from simulations of axisymmetric relativistic rotational core collapse. The general relativistic hydrodynamic equations are formulated in flux-conservative form and solved using a high-resolution shock-capturing scheme.…

Astrophysics · Physics 2009-11-06 Harald Dimmelmeier , Jose A. Font , Ewald Mueller

We investigate graviton radiation in gravitational scattering at small impact parameters $b<R\equiv 2G\sqrt{s}$ and extreme energies $s\gg M_P^2$, a regime in which classical collapse is thought to occur, and thus radiation may be…

High Energy Physics - Theory · Physics 2017-12-20 Marcello Ciafaloni , Dimitri Colferai

In principle, the Luttinger-Ward Green's function formalism allows one to compute simultaneously the total energy and the quasiparticle band structure of a many-body electronic system from first principles. We present approximate and exact…

Materials Science · Physics 2015-05-18 Sohrab Ismail-Beigi

The equations of General Relativity are recast in the form of a wave equation for the Weyl tensor. This allows to reformulate gravitational wave theory in terms of curvature waves, rather than metric waves. The existence of two transverse…

General Relativity and Quantum Cosmology · Physics 2023-02-21 Jan W. van Holten

We have implemented the so called GW approximation (GWA) based on an all-electron full-potential Projector Augmented Wave (PAW) method. For the screening of the Coulomb interaction W we tested three different plasmon-pole dielectric…

Materials Science · Physics 2007-05-23 B. Arnaud , M. Alouani