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Nonlinear Schrödinger equation and
Nonlinear Schrödinger equation and

... The atom–field interaction is one of the most fundamental problems of quantum optics. It is believed that a complete description of the light–atom interaction is possible only within the framework of quantum electrodynamics (QED), when both the states of an atom and the radiation itself are quantized ...
The use of spin-pure and non-orthogonal Hilbert spaces in Full
The use of spin-pure and non-orthogonal Hilbert spaces in Full

An Efficient Real–Space Configuration–Interaction Method for
An Efficient Real–Space Configuration–Interaction Method for

... residing mostly “between” solvent molecules, so–called solvent–supported states. Thus, to study multi–electron systems without biasing the problem, our choice of the one–electron basis must be able to describe both solvent–supported and on–molecule states. The most straightforward choice of basis, a ...
A quantum gas with tunable interactions in an optical lattice
A quantum gas with tunable interactions in an optical lattice

... tunneling between the lattice sites is strongly suppressed. The system can then be seen as a matter wave interferometerm, where every lattice site experiences a different phase shift proportional to the local potential at the site. As is well known, the potential gradient due to the applied force le ...
Quantum simulations of a freely rotating ring of ultracold and... Robicheaux and K. Niffenegger
Quantum simulations of a freely rotating ring of ultracold and... Robicheaux and K. Niffenegger

... Figure 2 shows the calculation of −V from Eq. (6) for a 90 and a 91 ion ring. The solid line is for the case when k  (1/2)N/R. The N = 90 case has a single minimum in the potential, while the N = 91 case almost no variation with . The max(V ) − min(V ) for the N = 90 case is 27. This means the ef ...
Seeing a single photon without destroying it
Seeing a single photon without destroying it

... In our set-up26±28, a thermal beam of rubidium atoms is velocityselected by laser-induced optical pumping. The atoms are then prepared in the Rydberg circular state with principal quantum number 50 (level g) or 51 (level e). The e ) g transition is resonant at 51.1 GHz. Circular Rydberg states29,30 ...
Physics of Projected Wavefunctions
Physics of Projected Wavefunctions

Born−Oppenheimer Time-Dependent Systems
Born−Oppenheimer Time-Dependent Systems

... In the present article, we consider the rigorous quantum mechanical methods only. There is no doubt that on the face of it the direct way of reaching the diabatic framework is more convenient. Indeed, as long as the various NACTs are regular functions at every point in configuration space (or at lea ...
Single Atoms Preparation Using Light-Assisted Collisions
Single Atoms Preparation Using Light-Assisted Collisions

Demonstration of a neutral atom controlled
Demonstration of a neutral atom controlled

Non-abelian quantum Hall states and fractional charges in
Non-abelian quantum Hall states and fractional charges in

... The fractional quantum Hall effect has, since its discovery around 30 years ago, been a vivid field of research—both experimentally and theoretically. In this thesis we investigate certain non-abelian quantum Hall states by mapping the two-dimensional system onto a thin torus, where the problem beco ...
Non-abelian quantum Hall states and fractional charges in one dimension Emma Wikberg
Non-abelian quantum Hall states and fractional charges in one dimension Emma Wikberg

... The fractional quantum Hall effect has, since its discovery around 30 years ago, been a vivid field of research—both experimentally and theoretically. In this thesis we investigate certain non-abelian quantum Hall states by mapping the two-dimensional system onto a thin torus, where the problem beco ...
Quantum vs. Classical Magnetization Plateaus of S=1/2 Frustrated
Quantum vs. Classical Magnetization Plateaus of S=1/2 Frustrated

Universal edge information from wavefunction deformation
Universal edge information from wavefunction deformation

... ground state(s) [1–4]. For instance, a non-zero topological entanglement entropy γ in the ground state indicates the presence of TO and is a measure of the total quantum dimension of the underlying anyonic system [4, 5]. The braiding statistics of anyons in the theory is another such universal prope ...
the diffusionist- evolutionist model of e-learninG
the diffusionist- evolutionist model of e-learninG

Search for a possible variation of the fine structure constant
Search for a possible variation of the fine structure constant

Light-Matter Interaction: Fundamentals and
Light-Matter Interaction: Fundamentals and

Elucidation of population and coherence dynamics using cross
Elucidation of population and coherence dynamics using cross

... where c0 is the coupling strength and xc is the cut-off frequency of the bath. We also assume that baths coupled to different system operators are independent, i.e., the correlation function Cnm(t) = hqn(t)qm(0)i is zero when n 5 m. In addition, to properly describe the third-order polarization, it is ...
7 Scattering theory and the S matrix
7 Scattering theory and the S matrix

Parameterization and orbital angular momentum of anisotropic
Parameterization and orbital angular momentum of anisotropic

... In the present paper we investigate some aspects of anisotropic dislocations with emphasis on the derivation of angular momentum. We concentrate on linear solutions of the Laplace equation. Such dislocations are dominant in speckle fields and were parameterized in previous studies.15,16 However, tho ...
Acta Futura
Acta Futura

Efficient Method to Perform Quantum Number Projection and
Efficient Method to Perform Quantum Number Projection and

... the (HFB-like) general product-type mean-field wave functions has been developed by Hara and his collaborators in Refs. 9)–11), where the calculation is restricted to the axially symmetric shape, but extended to the triaxially deformed and cranked (for high spins) cases in Ref. 12) (see also the revi ...
Inner-shell excitation of open-shell atoms - Shih
Inner-shell excitation of open-shell atoms - Shih

Temperature-Dependence of the HCl Spectrum: A Simulation
Temperature-Dependence of the HCl Spectrum: A Simulation

Polarization, reactivity and quantum molecular capacitance: From
Polarization, reactivity and quantum molecular capacitance: From

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Tight binding

In solid-state physics, the tight-binding model (or TB model) is an approach to the calculation of electronic band structure using an approximate set of wave functions based upon superposition of wave functions for isolated atoms located at each atomic site. The method is closely related to the LCAO method used in chemistry. Tight-binding models are applied to a wide variety of solids. The model gives good qualitative results in many cases and can be combined with other models that give better results where the tight-binding model fails. Though the tight-binding model is a one-electron model, the model also provides a basis for more advanced calculations like the calculation of surface states and application to various kinds of many-body problem and quasiparticle calculations.
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