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UNITARY OPERATORS AND SYMMETRY TRANSFORMATIONS
... full systems). In this formulation, time is not required to be a continuous parameter, but may be discrete or even finite. In classical physics, time evolution of a collection of rigid bodies is governed by the principles of classical mechanics. In their most rudimentary form, these principles expres ...
... full systems). In this formulation, time is not required to be a continuous parameter, but may be discrete or even finite. In classical physics, time evolution of a collection of rigid bodies is governed by the principles of classical mechanics. In their most rudimentary form, these principles expres ...
Quantum Manipulation of Two-Electron Spin States in
... system with a two-pulse procedure: one microsecond pulse that is varied over the dashed green rectangular region depicted in Fig. 2(b) and a fast fixed negative pulse to the gate L of 50 ns duration and of amplitude V ns equal to 80 mV; finally, we proceed to the spin measurement in bringing the sys ...
... system with a two-pulse procedure: one microsecond pulse that is varied over the dashed green rectangular region depicted in Fig. 2(b) and a fast fixed negative pulse to the gate L of 50 ns duration and of amplitude V ns equal to 80 mV; finally, we proceed to the spin measurement in bringing the sys ...
Light-shift imbalance induced blockade of collective excitations beyond the lowest order
... The significance of the LSIIB process can be summarized as follows: (a) It can be used to realize a deterministic quantum bit encoded in the collective excitation states of an atomic ensemble. (b) Along with a moderate-Q cavity, it can be used to realize a two-qubit gate (e.g., a CNOT gate) between t ...
... The significance of the LSIIB process can be summarized as follows: (a) It can be used to realize a deterministic quantum bit encoded in the collective excitation states of an atomic ensemble. (b) Along with a moderate-Q cavity, it can be used to realize a two-qubit gate (e.g., a CNOT gate) between t ...
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... A Poincaré section for a highly-excited Hydrogen atom in a strong magnetic field is shown on the opposite page. The regions of the phase space where the points are badly scattered indicate chaotic behavior. Such scattering is a clear symptom of classical chaos and allows one to separate systems into ...
... A Poincaré section for a highly-excited Hydrogen atom in a strong magnetic field is shown on the opposite page. The regions of the phase space where the points are badly scattered indicate chaotic behavior. Such scattering is a clear symptom of classical chaos and allows one to separate systems into ...
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... real kinetic energies can also be rigorously controlled on-thefly in ADMP. Because of fewer basis functions per atom, larger time steps, and its asymptotic O(N) scaling, reasonable computational efficiency can be achieved with the ADMP method. In the current paper we have undertaken a formal descrip ...
... real kinetic energies can also be rigorously controlled on-thefly in ADMP. Because of fewer basis functions per atom, larger time steps, and its asymptotic O(N) scaling, reasonable computational efficiency can be achieved with the ADMP method. In the current paper we have undertaken a formal descrip ...
Multiphoton adiabatic rapid passage: classical transition induced by separatrix crossing
... the chirp. They interpreted their results using a qualitative quantum picture involving a multiphoton resonance. An important aspect of this process is the relative frequencies involved. The transition frequency to go directly from n = 72 to 82 using ten identical photons is 14.5 GHz1 . Thus, the dr ...
... the chirp. They interpreted their results using a qualitative quantum picture involving a multiphoton resonance. An important aspect of this process is the relative frequencies involved. The transition frequency to go directly from n = 72 to 82 using ten identical photons is 14.5 GHz1 . Thus, the dr ...
CCR 7: Derivation of the Boltzmann Distribution
... we will assume that the energy E of any individual particle is restricted to one or another of the values 0, DE, 2DE, 3DE, . . . Later, after seeing how the distribution emerges, we can let DE → 0 so that the permitted energies are continuous. Simply to keep the amount of subsequent calculations man ...
... we will assume that the energy E of any individual particle is restricted to one or another of the values 0, DE, 2DE, 3DE, . . . Later, after seeing how the distribution emerges, we can let DE → 0 so that the permitted energies are continuous. Simply to keep the amount of subsequent calculations man ...
Quantum Computation with Neutral Atoms
... Back to the real world: What do we need to build a quantum computer? ...
... Back to the real world: What do we need to build a quantum computer? ...
Particle in a box
In quantum mechanics, the particle in a box model (also known as the infinite potential well or the infinite square well) describes a particle free to move in a small space surrounded by impenetrable barriers. The model is mainly used as a hypothetical example to illustrate the differences between classical and quantum systems. In classical systems, for example a ball trapped inside a large box, the particle can move at any speed within the box and it is no more likely to be found at one position than another. However, when the well becomes very narrow (on the scale of a few nanometers), quantum effects become important. The particle may only occupy certain positive energy levels. Likewise, it can never have zero energy, meaning that the particle can never ""sit still"". Additionally, it is more likely to be found at certain positions than at others, depending on its energy level. The particle may never be detected at certain positions, known as spatial nodes.The particle in a box model provides one of the very few problems in quantum mechanics which can be solved analytically, without approximations. This means that the observable properties of the particle (such as its energy and position) are related to the mass of the particle and the width of the well by simple mathematical expressions. Due to its simplicity, the model allows insight into quantum effects without the need for complicated mathematics. It is one of the first quantum mechanics problems taught in undergraduate physics courses, and it is commonly used as an approximation for more complicated quantum systems.