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Chapter 13
Chapter 13

PDF only - at www.arxiv.org.
PDF only - at www.arxiv.org.

... Bohr’s mechanistic model of the hydrogen atom was based on the following representations: (i) Rutherford’s planetary model of the atom, (ii) the electron as a point charged particle as described by classical mechanics; (iii) discrete allotted stationary states of the atom, which correspond to the a ...
Quantum networks with trapped ions
Quantum networks with trapped ions

... 共Kuzmich et al., 2003兲. By switching off external magnetic fields and exploiting the atomic Mott insulator phase in a three-dimensional far-tuned optical lattice, longer coherence times up to hundreds of milliseconds have been achieved recently 共Schnorrberger et al., 2009兲. For this ensemble approac ...
Preprint
Preprint

... interactions (negative a), the condensate is unstable against collapse above a certain size. This was verified by the Rice group. They also studied fluctuations of the atom number after the collapse [8]. ...
PDF
PDF

... where the atom propagates through only one laser beam with a gaussian field profile. The atom is modeled as a wavepacket with a gaussian distribution in the momentum representation, and it’s evolution in the laser field is calculated numerically. From this the phase shift with rotation is obtained a ...
An exponential separation between quantum and classical one
An exponential separation between quantum and classical one

... So have we obtained a quadratic separation between quantum and classical 1WCC? Unfortunately not yet... for every group G people have considered so far (e.g. abelian groups), there is in fact a more clever O(log |G|) bit classical protocol! The complexity of the general problem has been an open prob ...
Loop Quantum Gravity and Its Consistency
Loop Quantum Gravity and Its Consistency

Spin as Primordial Self-Referential Process
Spin as Primordial Self-Referential Process

... spacetime as reflected by the Dirac equation for fermions (Dirac, 1928). Indeed, Penrose (1960 & 1967) had considered early on that spin might be more fundamental than spacetime and invented spinor and twistor algebras for a combinatorial description of spacetime geometry. Bohm and Hiley (1984) gene ...
DOC
DOC

... Given only [L2, Lz] = 0 and Lˆ2 , Lˆ z hermitean we know there must exist simultaneous eigenstates f (which will turn out to be the Y (θ, φ) mentioned above) such that Lˆ2 f    f , Lˆ z f    f (λ will be related to l, and μ will be related to m) ...
An introduction to rigorous formulations of quantum field theory
An introduction to rigorous formulations of quantum field theory

... arena in which one performs calculations. The theory of general relativity becomes geometry on a Lorentzian manifold; quantum theory becomes the analysis of Hilbert spaces and self-adjoint operators. What, then is quantum field theory? The appropriate arena for calculations remains unclear. Many phy ...
ψ ε
ψ ε

Creating and Detecting Micro-Macro Photon
Creating and Detecting Micro-Macro Photon

... state of Ref. [9] back to the single-photon level. As entanglement cannot be created locally, if entanglement is detected at the single-photon level, this proves that micro-macro entanglement had to exist after the amplification stage. This approach has two advantages. On the one hand, the final mea ...
Template
Template

... conduction band edge means that the conventional eight-band k·p method cannot be applied directly to GaAsN and related heterostructures. One must include the interaction between the N resonant states and the conduction band edge to describe the variation of the zone-center conduction band edge energ ...
Prime Factorization by Quantum Adiabatic Computation
Prime Factorization by Quantum Adiabatic Computation

... single photons or Gaussian or squeezed beams) and it is therefore easy to create quantum entanglement between photons. This lead to the experimental realization of quantum teleportation by using optical techniques in the late 90’s (among others by A. Furusawa in the continuous variable regime [13]). ...
Spinons and triplons in spatially anisotropic frustrated antiferromagnets ARTICLES MASANORI KOHNO
Spinons and triplons in spatially anisotropic frustrated antiferromagnets ARTICLES MASANORI KOHNO

... by the number of excited spinons, which is always even for any physical state. Remarkably, truncating to the first non-trivial ...
Reduced fidelity in topological quantum phase transitions
Reduced fidelity in topological quantum phase transitions

3 Ion Trap Implementations
3 Ion Trap Implementations

... If a string of trapped ions should be used for quantum computaion it is required to cool ions down to the ground state of their normal modes. (More recent proposal have weakened this requirement, but cooling is yet desirable). With laser cooling (Nobel prize for Chu, Cohen-Tannoudji, Phillips) tempe ...
Elements of the wave-particle duality of light
Elements of the wave-particle duality of light

L17-20
L17-20

Quantum Thermodynamics: A Dynamical Viewpoint
Quantum Thermodynamics: A Dynamical Viewpoint

... identifies the source of friction in the inability of the system to stay diagonal in the instantaneous energy frame [27,36–39]. Once energy is accounted for, which in an engine cycle, occurs on the heat transfer segments, the off-diagonal elements are wiped out. This loss leads to the phenomenon of ...
Quantum Field Theory I, Lecture Notes
Quantum Field Theory I, Lecture Notes

Consciousness as a State of Matter
Consciousness as a State of Matter

... For a substance to be useful for storing information, it clearly needs to have a large repertoire of possible longlived states or attractors (see Table I). Physically, this means that its potential energy function has a large number of well-separated minima. The information storage capacity (in bits ...
Effects of thermal and quantum fluctuations on the phase diagram of
Effects of thermal and quantum fluctuations on the phase diagram of

... At temperatures well above absolute zero, the spectrum of elementary excitations approaches that of single particles, and, therefore, the anomalous average m̃ij becomes negligibly small compared with the noncondensate number density ñij [32]. Consequently, the first-order selfconsistent approximati ...
Quantum Theory on Genome Evolution
Quantum Theory on Genome Evolution

... proposed to explain the macroevolution. It seems that both patterns are real facts observed in fossil evolution [5]. A deeper research question is what conditions lead to more gradual evolution and what conditions to punctuated evolution, and how to unify two patterns in a logically consistent theor ...
From Quantum Gates to Quantum Learning: recent research and
From Quantum Gates to Quantum Learning: recent research and

... • superposition allows quantum computer to make calculations on all 128 possible numbers (27) in ONE iteration i.e. finishes in 1 second. • Tremendous possibilities… imagine doing computations on even larger sample spaces all at the same time!!! ...
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Coherent states

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