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Ionization in strong low-frequency fields: from quantum S
Ionization in strong low-frequency fields: from quantum S

Power-Law Entanglement Spectrum in Many-Body Localized
Power-Law Entanglement Spectrum in Many-Body Localized

... probed via quantum-information measures, such as entanglement entropy (EE). Given a pure quantum state ψ of a many-body system S = L ∪ R, consistingP of two subD systems L and R, the EE is defined as S = − i λi ln λi , where {λi }, i = 1, ..., D, are the eigenvalues of the reduced density matrix ρ̂R ...
Stable bounce and inflation in non-local higher derivative
Stable bounce and inflation in non-local higher derivative

... the Ricci scalar and it’s derivatives up to arbitrary orders and yielded non-singular bouncing solution of hyperbolic cosine type. However, it was not clear how generic these solutions were, whether these solutions were stable under small perturbations, and whether these theories contain other sing ...
Driven Bose-Hubbard model with a parametrically modulated
Driven Bose-Hubbard model with a parametrically modulated

... which would otherwise be unstable? In turn, can we obtain information on the atomic interaction by externally tuning the system to an unstable dynamical state? In this work, we show that a global parametric modulation of the trapping potential, which does not have to be tuned to local properties, ca ...
Coherent States
Coherent States

Quantum-gravitational effects for inflationary perturbations and the
Quantum-gravitational effects for inflationary perturbations and the

... The most ambitious attempt is, of course, to unify all forces in Nature. For this approach, the most elaborate candidate theory is string theory, which can only be formulated consistently in 10, 11 or 26 spacetime dimensions. In order to describe our apparent four-dimensional reality, the additional ...
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Spectral And Dynamical Properties Of Strongly Correlated Systems
Spectral And Dynamical Properties Of Strongly Correlated Systems

Singularity of the time-energy uncertainty in adiabatic perturbation
Singularity of the time-energy uncertainty in adiabatic perturbation

Relativistic Effects in Atomic Spectra
Relativistic Effects in Atomic Spectra

Background Material
Background Material

quantum transport phenomena of two
quantum transport phenomena of two

New Journal of Physics Quantum interference-induced stability of repulsively Lea F Santos
New Journal of Physics Quantum interference-induced stability of repulsively Lea F Santos

Feynman-Kac formula for L´evy processes and semiclassical (Euclidean) momentum representation
Feynman-Kac formula for L´evy processes and semiclassical (Euclidean) momentum representation

... In addition we also study the limiting behaviors of the solutions given by FeynmanKac type formulas in terms of large deviations. In particular we show in detail that these limiting behaviors have exactly the same patterns as the semiclassical limits of (Euclidean) quantum mechanics in several speci ...
Effect of disorder on quantum phase transitions in
Effect of disorder on quantum phase transitions in

... disorder-free model that are needed to understand the rest of the paper. In Sec. IV we take the continuum limit of the fermion model for various cases. The Ising transition and the anisotropy transition with only randomness in the anisotropy that results in a Dirac equation with a random mass. The i ...
Calculating Floquet states of large quantum systems: A
Calculating Floquet states of large quantum systems: A

Chapter 2. Model Problems That Form Important Starting Points
Chapter 2. Model Problems That Form Important Starting Points

... Chapter 1 to be related to the values of x at which the spherical Bessel functions jL(x) vanish, are not the same as in atoms, again because the radial potentials differ. However, the angular shapes of the spherical box problem are the same as in atomic structure because, in both cases, the potentia ...
Quantized field description of rotor frequency
Quantized field description of rotor frequency

... 共Received 25 August 1999; accepted 22 October 1999兲 A formalized many-particle nonrelativistic classical quantized field interpretation of magic angle spinning 共MAS兲 nuclear magnetic resonance 共NMR兲 radio frequency-driven dipolar recoupling 共RFDR兲 is presented. A distinction is made between the MAS ...
Localized shocks Please share
Localized shocks Please share

... is also exceptional, and that a chaotic system will exhibit slower (perhaps diffusive) growth. To show that this is not the case, we numerically analyze a chaotic version (g = −1.05, h = 0.5) of the same spin chain alongside the integrable model, and plot the size of the precursor in the right panel ...
Correlation energy of two electrons in a ball
Correlation energy of two electrons in a ball

... any spherically symmetric confining external potential. At the end of our previous work,23 we observed that it would be highly desirable to consider D-ballium, the system in which the two electrons are trapped in a D-dimensional ball of radius R. This model is a severe test of our conjecture because ...
Born−Oppenheimer Time-Dependent Systems
Born−Oppenheimer Time-Dependent Systems

Atom-atom interactions in ultracold gases - cours en ligne CEL
Atom-atom interactions in ultracold gases - cours en ligne CEL

Circuit QED — Lecture Notes - Royal Holloway, University of London
Circuit QED — Lecture Notes - Royal Holloway, University of London

Numerical Methods for strongly correlated electrons
Numerical Methods for strongly correlated electrons

... truncation of the huge Hilbert space in a smaller basis that can be systematically increased until convergence is reached. Within this class of methods we will describe the Lanczos technique, modern Configuration Interaction schemes, aimed at improving the simplest Hartee-Fock calculation, until the ...
Quantum Field Theory I
Quantum Field Theory I

... Z constant is always equal to 1. So while staying at the tree level, one can forget about Z completely. And since our first aim is to master the tree level calculations, we can ignore the whole Z-affair until the discussion of loops and renormalization. The following sketch of the Z definition is pr ...
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Perturbation theory (quantum mechanics)

In quantum mechanics, perturbation theory is a set of approximation schemes directly related to mathematical perturbation for describing a complicated quantum system in terms of a simpler one. The idea is to start with a simple system for which a mathematical solution is known, and add an additional ""perturbing"" Hamiltonian representing a weak disturbance to the system. If the disturbance is not too large, the various physical quantities associated with the perturbed system (e.g. its energy levels and eigenstates) can be expressed as ""corrections"" to those of the simple system. These corrections, being small compared to the size of the quantities themselves, can be calculated using approximate methods such as asymptotic series. The complicated system can therefore be studied based on knowledge of the simpler one.
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