
Bounding the quantum dimension with contextuality Linköping University Post Print
... which allow us to recognize quantum entanglement and certify the usefulness of quantum states for quantum information processing tasks [1,2]. However, on a more fundamental level, there are still several problems which have to be addressed. For example, how can one efficiently test whether measureme ...
... which allow us to recognize quantum entanglement and certify the usefulness of quantum states for quantum information processing tasks [1,2]. However, on a more fundamental level, there are still several problems which have to be addressed. For example, how can one efficiently test whether measureme ...
Quantum Theory: a Pragmatist Approach
... went through are typically alleged to be “meaningless”3. The secondary role of the quantum state is to offer guidance on the legitimacy and limitations of descriptive claims about a physical situation. The key idea here is that even assuming unitary evolution of the quantum state of system and envir ...
... went through are typically alleged to be “meaningless”3. The secondary role of the quantum state is to offer guidance on the legitimacy and limitations of descriptive claims about a physical situation. The key idea here is that even assuming unitary evolution of the quantum state of system and envir ...
Mean-field theory of the Kondo effect in quantum dots with... Mikio Eto and Yuli V. Nazarov
... The mean field theory of the Kondo effect was pioneered by Yoshimori and Sakurai29 and is commonly used for the Kondo lattice model.30 It is useful to capture main qualitative features of the Kondo effect; renormalizability at the scale of T K , resonances at the Fermi level, and resonant transmissi ...
... The mean field theory of the Kondo effect was pioneered by Yoshimori and Sakurai29 and is commonly used for the Kondo lattice model.30 It is useful to capture main qualitative features of the Kondo effect; renormalizability at the scale of T K , resonances at the Fermi level, and resonant transmissi ...
Coupling-Matrix Approach to the Chern Number Calculation in
... 15, 16, 17], which is very time-consuming even for noninteracting electron systems. Recently, several different approaches for the Chern number computation in real space have been suggested in the literature. Kitaev [18] proposed a real space Chern number formula for a lattice model in terms of trac ...
... 15, 16, 17], which is very time-consuming even for noninteracting electron systems. Recently, several different approaches for the Chern number computation in real space have been suggested in the literature. Kitaev [18] proposed a real space Chern number formula for a lattice model in terms of trac ...
TOPICS IN QUANTUM NANOSTRUCTURE PHYSICS: SPIN-ORBIT EFFECTS AND FAR-INFRARED RESPONSE TEMES DE F´
... the three spatial components of the density, which in addition is a simpler both conceptually and practically quantity to deal with. On the other hand, the exchange-correlation part of the electron-electron interaction, neglected or only partially taken into account in the above-mentioned approaches ...
... the three spatial components of the density, which in addition is a simpler both conceptually and practically quantity to deal with. On the other hand, the exchange-correlation part of the electron-electron interaction, neglected or only partially taken into account in the above-mentioned approaches ...
Ionization in strong low-frequency fields: from quantum S
... on rigorous math and sometimes based on physical reasoning. Let us look at the physics behind the expression Eq.(7). The system starts in the state |Φi i. During the time-interval before some moment t0 it evolves without interacting with the laser field, as if the field was not there. This may look ...
... on rigorous math and sometimes based on physical reasoning. Let us look at the physics behind the expression Eq.(7). The system starts in the state |Φi i. During the time-interval before some moment t0 it evolves without interacting with the laser field, as if the field was not there. This may look ...
Quantum Lambda Calculus - Department of Mathematics and
... Another interesting aspect of higher-order quantum computation is the interplay between classical objects and quantum objects in a higherorder context. A priori, quantum computation operates on two distinct kinds of data: classical data, which can be read, written, duplicated, and discarded as usual ...
... Another interesting aspect of higher-order quantum computation is the interplay between classical objects and quantum objects in a higherorder context. A priori, quantum computation operates on two distinct kinds of data: classical data, which can be read, written, duplicated, and discarded as usual ...
Overview Andrew Jaramillo Research Statement
... quantum inverse scattering method. Since that time there has been much work done on quantum groups, studying various properties of such objects. Still though, there is not yet a widely accepted ...
... quantum inverse scattering method. Since that time there has been much work done on quantum groups, studying various properties of such objects. Still though, there is not yet a widely accepted ...
Braid Topologies for Quantum Computation
... to arise in a variety of two-dimensional quantum manybody systems [1, 4–11], have the property that the usual phase factors of ±1 associated with the exchange of identical bosons or fermions are replaced by noncommuting (nonabelian) matrices that depend only on the topology of the space-time paths ( ...
... to arise in a variety of two-dimensional quantum manybody systems [1, 4–11], have the property that the usual phase factors of ±1 associated with the exchange of identical bosons or fermions are replaced by noncommuting (nonabelian) matrices that depend only on the topology of the space-time paths ( ...
Resource Letter SPE-1: Single-Photon Experiments in the Undergraduate Laboratory
... 31. “A simple experiment for discussion of quantum interference and which-way measurement,” M. B. Schneider and I. A. LaPuma, Am. J. Phys. 70, 266–271 (2002). With widespread use of digital cameras, it is now possible to produce demonstrations of low-light interference by the build-up of photon dete ...
... 31. “A simple experiment for discussion of quantum interference and which-way measurement,” M. B. Schneider and I. A. LaPuma, Am. J. Phys. 70, 266–271 (2002). With widespread use of digital cameras, it is now possible to produce demonstrations of low-light interference by the build-up of photon dete ...
Development of semi-classical and quantum tools for the
... electron devices will have less than 10 nanometers of channel length and they will work at THz frequencies. The scientific community has done an important effort to provide reliable simulations tools for studying the DC behavior of state-of-the-art nanoscale devices. Some of the common classical and ...
... electron devices will have less than 10 nanometers of channel length and they will work at THz frequencies. The scientific community has done an important effort to provide reliable simulations tools for studying the DC behavior of state-of-the-art nanoscale devices. Some of the common classical and ...
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.