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We calculate the optical spectra of silicon and germanium in the adiabatic time-dependent density functional formalism, making use of kinetic energy density-dependent (meta-GGA) exchange-correlation functionals. We find excellent agreement…

Strongly Correlated Electrons · Physics 2011-11-16 V. U. Nazarov , G. Vignale

Questions are raised about certain experimental and theoretical claims that atoms may be stabilized into their bound states, and prevented from achieving full ionization, by the application of adiabatic, ultraintense, high-frequency laser…

Atomic Physics · Physics 2009-09-29 Sydney Geltman , Mircea Fotino

We introduce an adiabatic perturbation theory for quantum systems with degenerate energy spectra. This perturbative series enables one to rigorously establish conditions for the validity of the adiabatic theorem of quantum mechanics for…

Quantum Physics · Physics 2015-05-18 Gustavo Rigolin , Gerardo Ortiz

Classical adiabatic invariants in actual adiabatic processes possess intrinsic dynamical fluctuations. The magnitude of such intrinsic fluctuations is often thought to be negligible. This widely believed physical picture is contested here.…

Quantum Physics · Physics 2013-07-02 Qi Zhang , Jiangbin Gong , C. H. Oh

In this paper, we present an invariant perturbation theory of the adiabatic process based on the concepts of U(1)-invariant adiabatic orbit and U(1)-invariant adiabatic expansion. As its application, we propose and discuss new adiabatic…

Quantum Physics · Physics 2007-06-13 Jian-da Wu , Mei-sheng Zhao , Jian-lan Chen , Yong-de Zhang

Light-pulse atom interferometers rely on the wave nature of matter and its manipulation with coherent laser pulses. They are used for precise gravimetry and inertial sensing as well as for accurate measurements of fundamental constants.…

Quantum Physics · Physics 2015-12-02 Stephan Kleinert , Endre Kajari , Albert Roura , Wolfgang P. Schleich

We establish adiabatic theorems with and without spectral gap condition for general operators $A(t): D(A(t)) \subset X \to X$ with possibly time-dependent domains in a Banach space $X$. We first prove adiabatic theorems with uniform and…

Mathematical Physics · Physics 2014-01-03 Jochen Schmid

The adiabatic theorem refers to a setup where an evolution equation contains a time-dependent parameter whose change is very slow, measured by a vanishing parameter $\epsilon$. Under suitable assumptions the solution of the…

Mathematical Physics · Physics 2018-04-18 Sven Bachmann , Wojciech De Roeck , Martin Fraas

We present a detailed semiclassical study on the propagation of a pair of optical fields in resonant media with and without adiabatic approximation. In the case of near and on resonance excitation, we show detailed calculation, both…

Quantum Physics · Physics 2009-11-07 M. G. Payne , L. Deng , Chris Schmitt , Shannon Anderson

We experimentally realize quasistatic adiabatic processes using a single optically-trapped micro- sphere immersed in water whose effective temperature is controlled by an external random electric field. A full energetic characterization of…

Statistical Mechanics · Physics 2015-06-03 Ignacio A. Martínez , Édgar Roldán , Luis Dinis , Dmitri Petrov , Raúl A. Rica

We derive a version of the adiabatic theorem that is especially suited for applications in adiabatic quantum computation, where it is reasonable to assume that the adiabatic interpolation between the initial and final Hamiltonians is…

Quantum Physics · Physics 2009-10-21 D. A. Lidar , A. T. Rezakhani , A. Hamma

We have developed a theory of three-pulse coherent control of photochemical processes. It is based on adiabatic passage and quantum coherence and interference attributed to the lower-lying dissociation continuum and excited upper discrete…

Quantum Physics · Physics 2009-11-10 A. K. Popov , V. V. Kimberg , Thomas F. George

We present here a new method based on a transfer of population by adiabatic passage that allows to prepare cold atomic samples with a well defined ratio of atomic density and atom number. This method is used to perform a measurement of the…

Atomic Physics · Physics 2009-11-07 F. Pereira Dos Santos , H. Marion , S. Bize , Y. Sortais , A. Clairon , C. Salomon

We apply a Bloch-bands approach to the analysis of pulsed optical standing wave diffractive elements in optics and interferometry with ultracold atoms. We verify our method by comparison to a series of experiments with Bose-Einstein…

We present a novel atom interferometer configuration that combines large momentum transfer with the enhancement of an optical resonator for the purpose of measuring gravitational strain in the horizontal directions. Using Bragg diffraction…

Coherent transport by adiabatic passage has recently been suggested as a high-fidelity technique to engineer the centre-of-mass state of single atoms in inhomogenous environments. While the basic theory behind this process is well…

Quantum Physics · Physics 2015-03-19 T. Morgan , B. O'Sullivan , Th. Busch

The spatiotemporal response of crystals in x-ray Bragg diffraction resulting from excitation by an ultra-short, laterally confined x-ray pulse is studied theoretically. The theory presents an extension of the analysis in symmetric…

Optics · Physics 2012-10-22 Yuri Shvyd'ko , Ryan Lindberg

We demonstrate a novel scheme for Raman-pulse and Bragg-pulse atom interferometry based on the $5\mathrm{S} - 6\mathrm{P}$ blue transitions of $^{87}$Rb that provides an increase by a factor $\sim 2$ of the interferometer phase due to…

Atomic Physics · Physics 2023-07-31 L. Salvi , G. M. Tino , L. Cacciapuoti , G. Rosi

This work explores the relationship between optimal control theory and adiabatic passage techniques in quantum systems. The study is based on a geometric analysis of the Hamiltonian dynamics constructed from the Pontryagin Maximum…

Quantum Physics · Physics 2015-06-11 E. Assémat , D. Sugny

We report on an original and simple formulation of the phase shift in N-light-pulse atom interferometers. We consider atomic interferometers based on two-photon transitions (Raman transitions or Bragg pulses). Starting from the exact…