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The density-matrix renormalization group in the age of matrix
The density-matrix renormalization group in the age of matrix

... made in higher dimensions starting with [65] using a generalization of the MPS state class[66]. The goal of this paper cannot be to provide a full review of DMRG since 1992 as seen from the perspective of 2010, in particular given the review[7], which tries to provide a fairly extensive account of ...
Probing a Single Isolated Electron: New Measurements
Probing a Single Isolated Electron: New Measurements

Entangled Photons and Bell`s Inequality
Entangled Photons and Bell`s Inequality

... of the incident photons (on the order of 10−10 ) undergo spontaneous parametric down conversion. In spontaneous parametric down conversion, a single pump photon is split into two new photons called the signal and idler photons. In order to maintain a conservation of energy and momentum, these photon ...
Two Qubits Tavis-Cummings Model Beyond the Rotating Wave
Two Qubits Tavis-Cummings Model Beyond the Rotating Wave

... electrons coupled to a phonon mode of a crystal lattice [3], or super-conducting qubits interacting with a nanomechanical resonator [4, 5], a transmission line resonator [6, 7], or an LC circuit [8, 9]. In the area of quantum optics, the model describing the interaction of a single qubit with a harm ...
NON-LOCAL THEORIES OF CONTINUUM MECHANICS
NON-LOCAL THEORIES OF CONTINUUM MECHANICS

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Background Material

... It turns out that this simple model of -electron energies provides a qualitatively correct picture of such excitation energies. Its simplicity allows one, for example, to easily suggest how a molecule’s color (as reflected in the complementary color of the light the molecule absorbs) varies as the ...
pptx version - Physics Department, Princeton University
pptx version - Physics Department, Princeton University

... state has definite energy and momentum, then so does the quantum state ||X. If the neutrino is produced in a flavor state, it is a quantum sum of mass states, |e = a1 |1 + a2 |2 + a3 |3, and the production involves an entangled state, |e |X = a1 |1 |X1 + a2 |2 |X2 + a3 |3 |X3. ...
Quantum Mechanics
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... tive to the orientations of the atomic dipole moments µ13 and µ12 . Here, the parameter p denotes the alignment of the two dipole moments and is defined as p = µ13 ⋅ µ12 µ13 ⋅ µ12 = cos θ with θ being the angle between the two dipole moments. So the parameter p depicts the intensity of SGC in the at ...
Duo: A general program for calculating spectra of diatomic molecules
Duo: A general program for calculating spectra of diatomic molecules

... rise to r-dependent curves; these can be computed by ab initio methods [61] or estimated semi-empirically, for example using quantum defect theory [62,63]. The expectation value of the sum of the vibrational and the mass-polarization Hamiltonian using the electronic wave functions gives rise [58,64] ...
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Closed and Open String Theories in Non-Critical Backgrounds
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Chapter 2 Bose-Einstein condensation
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... physics. The mechanics is that of Newton but with restrictions on the angular momentum magnitudes. The classical theory of radiation emission is suspended in the stationary orbits; emission takes place in single quanta and occurs only as the result of changes of orbit. In the next subsection, we wil ...
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Large-N Limit as a Classical Limit: Baryon Two-dimensional QCD and Multi-Matrix Models
Large-N Limit as a Classical Limit: Baryon Two-dimensional QCD and Multi-Matrix Models

... In this thesis, I study the limit of a large number of colors (N ) in a non-abelian gauge theory. It corresponds to a classical limit where fluctuations in gauge-invariant observables vanish. The large-dimension limit for rotation-invariant variables in atomic physics is given as an example of a cla ...
Physics - Courses A.Y. 2007/2008 FIS/05 n.d. 2 Code Credits Field
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... Theory of classical fields: space-time symmetries and internal symmetries; conservation laws; Lorentz and Poincaré group; gauge groups. Canonical quantization of free fields: the scalar field; crystals and phonons; particles and antiparticles; the electromagnetic field; the dirac field. Functional q ...
Spin-entangled electrons - Theoretical Physics at University of
Spin-entangled electrons - Theoretical Physics at University of

... review of work dedicated to the question whether EPR pairs consisting of two electrons with entangled spins could be used perform those quantum protocols and to test Bell’s inequalities and in a solid-state system. Since the use of entangled electron spin pairs in solid-state structures was theoreti ...
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... bosons: the electrically neutral Z 0 boson with mass MZ 0 = 91.2 GeV/c2 , and the electrically charged W + and W − bosons with MW ± = 80.4 GeV/c2 . Due to the large masses of the exchange bosons, the weak interaction has a very short range. This allowed Enrico Fermi in the 1940s to develop a theory ...
Read PDF - Physics
Read PDF - Physics

... that the single photon and two-photon coincidence rates are constant by calculating the marginal probabilities [8]. This result corresponds to the third photon carrying time information about the other two photons and “tracing it out” will erase any interference between the pair. The main experiment ...
Endomorphism Bialgebras of Diagrams and of Non
Endomorphism Bialgebras of Diagrams and of Non

... ( ?1)(m ?1) = (m?1)( ? ?1). By the universal property a) of EX , the map is compatible with the multiplication. Similarly one shows that it is compatible with the unit. It is not so clear which homomorphism spaces or endomorphisms spaces exist. Tambara [15] has given a construction for homom ...
Time dependent entanglement features, and other quantum information aspects,
Time dependent entanglement features, and other quantum information aspects,

... In the non-Markovain regime, on the other hand (section 3.3), the environment correlation time is greater than, or of the same order as, the relaxation time over which the state of the system changes. “Memory effects” are thus considered important and are taken into account. The present study is ma ...
Discrete vs continuous controversy in physics
Discrete vs continuous controversy in physics

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Canonical quantization

In physics, canonical quantization is a procedure for quantizing a classical theory, while attempting to preserve the formal structure, such as symmetries, of the classical theory, to the greatest extent possible.Historically, this was not quite Werner Heisenberg's route to obtaining quantum mechanics, but Paul Dirac introduced it in his 1926 doctoral thesis, the ""method of classical analogy"" for quantization, and detailed it in his classic text. The word canonical arises from the Hamiltonian approach to classical mechanics, in which a system's dynamics is generated via canonical Poisson brackets, a structure which is only partially preserved in canonical quantization.This method was further used in the context of quantum field theory by Paul Dirac, in his construction of quantum electrodynamics. In the field theory context, it is also called second quantization, in contrast to the semi-classical first quantization for single particles.
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