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Circuit QED: Superconducting Qubits Coupled to
Circuit QED: Superconducting Qubits Coupled to

entanglement properties of quantum many
entanglement properties of quantum many

... sites occupied by Pauli spins with nearest-neighbor ferromagnetic couplings, subject to a transverse magnetic eld. Since this model is exactly soluble using the JordanWigner transform, it admits an incisive analysis of the behavior of entanglement in the vicinity of a simple quantum phase transitio ...
From a few to many electrons in quantum dots under strong
From a few to many electrons in quantum dots under strong

... but without implying the presence of a superfluid component兲. Furthermore, the REM at high B can be naturally viewed as the precursor of a quantum crystal that develops in the lowest Landau level 共LLL兲 in the thermodynamic limit. Due to the lack of rigidity, the LLL quantum crystal exhibits a “liqui ...
Quantum Mechanics of Many-Particle Systems: Atoms, Molecules
Quantum Mechanics of Many-Particle Systems: Atoms, Molecules

Quantum Evolution installation and user manual
Quantum Evolution installation and user manual

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Kondo physics in the single-electron transistor with ac driving Peter Nordlander
Kondo physics in the single-electron transistor with ac driving Peter Nordlander

... of energy ⑀ for a level with energy ⑀ dot(t)⫽ ⑀ dot⫹ ⑀ accos ⍀t at several different frequencies ⍀. The corresponding conductance is shown by the curve labeled dot A, T⫽0.005 in Fig. 3. For the lowest ⍀, the response of the system is relatively adiabatic and the displayed spectral function resembles ...
Hidden Variables and Nonlocality in Quantum Mechanics
Hidden Variables and Nonlocality in Quantum Mechanics

CP PHysics Ch 21 ppt - Lincoln High School
CP PHysics Ch 21 ppt - Lincoln High School

... • Some experiments can be better explained or only explained by the photon concept, whereas others require a wave model. • Most physicists accept both models and believe that the true nature of light is not describable in terms of a single classical picture. – At one extreme, the electromagnetic wav ...


... estimations of all the relevant properties of helium, including the condensate and superuid fractions. Contrarily to the other quantum Monte Carlo methods, which provide results only for the ground state of the quantum system, PIMC is a nite temperature method, in which the system at the thermodyn ...
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Electric dipoles at ultralow temperatures

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PHY332 Atomic and Laser Physics AM FOX

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numerical simulations of strongly correlated electron and spin systems

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... a particle interpretation for the Fock representation of free fields is possible. The eigenvectors of the total number operator have properties appropriate for states containing definite numbers of particles. The no-particle, vacuum state being invariant under the Poincaré Group, it looks the same ...
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Multiply Excited Intra

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Optimal Large-Scale Quantum State Tomography with Pauli

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Approaches to Quantum Error Correction

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p15_11_6.pdf

A Bird`s-Eye View of Density
A Bird`s-Eye View of Density

... by their potential v(r), and supplies a prescription for dealing with the universal operators T̂ and Û once and for all.8 Furthermore, DFT provides a way to systematically map the many-body problem, with Û, onto a single-body problem, without Û. All this is done by promoting the particle density ...
Quantum walk  search on satisfiability problems random
Quantum walk search on satisfiability problems random

... and David Deutsch in the 1980's, quantum computing remained little more than a curiosity until Peter 8hor's discovery of a polynomial time integer factorization algorithm in 1994 and Lov Grover's subsequent development of a quantum search algorithm in 1996 [13, 12, 29, 14]. The discovery of these pr ...
Singularity of the time-energy uncertainty in adiabatic perturbation
Singularity of the time-energy uncertainty in adiabatic perturbation

Quantum digital spiral imaging
Quantum digital spiral imaging

Chapter 7. Statistical Mechanics
Chapter 7. Statistical Mechanics

Temporal interferences driven by a single-cycle terahertz pulse in the... dynamics of negative ions
Temporal interferences driven by a single-cycle terahertz pulse in the... dynamics of negative ions

Distance between quantum states in the presence of initial qubit
Distance between quantum states in the presence of initial qubit

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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.
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