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Quantum Manipulation of Ultracold Atoms and Photons
Quantum Manipulation of Ultracold Atoms and Photons

... material systems serving as quantum memories that can be interconnected optically [1-7]. An ensemble of atoms can store a quantum state in the form of a quantized collective spin excitation (magnon), that can be mapped onto a photon with high efficiency [8,9]. In such a system we have recently demon ...
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Everything You Always Wanted to Know About the Hydrogen Atom

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... • Quantum Gravity has not yet converged into a single theory and at present several rival theories co-exist (String Theory, Loop Quantum Gravity and Noncommutative Geometry). Nevertheless, all these candidates reveal certain common or global features like noncommutativity of the coordinates at Planc ...
"Is affirmed"
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... restricted to gases. They relate to changes in the momentum of inertia of the rotating molecules of gas. Rotational transitions are of most importance, together with vibrational transitions, in the interaction between EMR and the atmospheric gases through which the Earth’s surface must be viewed by ...
Eigenstates of a small Josephson junction coupled to a resonant... W. A. Al-Saidi and D. Stroud
Eigenstates of a small Josephson junction coupled to a resonant... W. A. Al-Saidi and D. Stroud

... to ⑀ˆ . The definition of the Hamiltonian is completed by writing down the commutation relations for the various operators. The only nonzero commutators are 关 a,a † 兴 ⫽1, and 关 n, ␾ 兴 ⫽⫺i. It is useful to make a change of variables p ⫽i 冑ប ␻ /2(a † ⫺a);q⫽ 冑ប/(2 ␻ )(a † ⫹a). Then p and q satisfy the ...
Theoretical Errors in Contemporary Physics
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... status for a very long time. Dirac’s negative opinion on this equation (see [19] and [20], pp. 3-8) directed him to construct his famous equation which is now regarded as the relativistic quantum mechanical Hamiltonian of spin-1/2 particles. Other researchers disagree with Dirac (see [18], pp. 70-72 ...
Black hole fireworks: quantum-gravity effects outside the horizon
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... cover of the Kruskal solution, in the sense that there are distinct regions isomorphic to the same Kruskal region. This is explained in detail below, and is the technical core of the paper. But the larger obstacle has probably been a widespread uncritical assumption: that Nature should be well appro ...
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Large quantum superpositions of a levitated nanodiamond through spin-optomechanical coupling

... Fock state with arbitrary phonon number nm can be generated by repeating the√above two basic steps, and the interaction time is ti = t1 / i for the ith step [38]. Superpositions of different Fock states can also be generated. For √ instance, if we initialize the state to (c0 |+ + c1 |−) ⊗ |0m / 2 ...
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Weak antilocalization and spin relaxation in integrable quantum dots O Z

... into destructive interference and hence causes an enhanced conductance, i.e. AL. Recently, weak AL has been reconsidered in a number of corresponding experiments, both for GaAs- [9] and InAs-based [6, 10, 11] two-dimensional (2d) electron gases, as well as for ballistic quantum dots [12, 13]. While ...
L. Bell*, et. al., "THz emission by Quantum Beating in a Modulation
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... = ! -4 "1/4u0e−u0, where u0 = 2eE / )hm$20, $0 is the classical frequency of the oscillator and we have taken mh = me for simplicity. For weak fields the oscillating dipole moment is thus proportional to electric field. A numerical simulation of our quantum well yields z31 / z21 * 0.5E / !1 kV/ cm". ...
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... xc , the minimum becomes very shallow, for e.g. 11 %, questioning the long range order of this compound. Beyond xc , for x = 12.3 %, a small depolarization rate (λ = 0.07µs−1 for 2K) describes the data in ZF. Extended time, more temperature and magnetic field data and analysis are required to reveal ...
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... We learn from Quantum Mechanics(QM) that “just as a particle will never have a null energy (E), that is zero, but a fundamental minimal E: the Zero Point Energy (ZPE). In the same way the particle, because of its undulation aspect, will never be able to remain completely still, that is with a zero m ...
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... Now the question arises of whether the one loop expression (2.19) is a topological invariant, that is, of whether it is independent of the metric g that was used to define the gauge fixing. At this point we have to formulate what should be regarded as an affirmative answer. Since we have violated th ...
Black hole fireworks: quantum-gravity effects outside the horizon
Black hole fireworks: quantum-gravity effects outside the horizon

... cover of the Kruskal solution, in the sense that there are distinct regions isomorphic to the same Kruskal region. This is explained in detail below, and is the technical core of the paper. But the larger obstacle has probably been a widespread uncritical assumption: that Nature should be well appro ...
Postulates of Quantum Mechanics
Postulates of Quantum Mechanics

... systems, such as atoms and photons, whose states admit superpositions. It is a framework onto which other physical theories are built upon. For example, quantum field theories such as quantum electrodynamics and quantum chromodynamics. The central topic of this lecture is a mathematical formulation ...
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... • G.R.M. Robb, et al. PRA 69, 041403 (2004) • J. Javaloyes et al., PRA 70, 023405 (2004). ...
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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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