
Dimers on the triangular kagome lattice "
... for4,5 and discovery of6 a true spin liquid phase with deconfined spinons. In the latter case, the problem of classical dimer coverings of a lattice illuminates the physics of the corresponding quantum dimer model. At the RokhsarKivelson !RK" point5 of the quantum dimer model, the ground states are ...
... for4,5 and discovery of6 a true spin liquid phase with deconfined spinons. In the latter case, the problem of classical dimer coverings of a lattice illuminates the physics of the corresponding quantum dimer model. At the RokhsarKivelson !RK" point5 of the quantum dimer model, the ground states are ...
Chapter 4 Quantum correction to the Pair Distribution Function calculated classically.
... to study molecular structures and their dynamics. Thus, quantum effects are usually ignored. Other approaches, like the Car-Parinello method [60], that are based on quantum mechanics, are more time consuming than classical approaches and only feasible for a small number of atoms. Accurate experimen ...
... to study molecular structures and their dynamics. Thus, quantum effects are usually ignored. Other approaches, like the Car-Parinello method [60], that are based on quantum mechanics, are more time consuming than classical approaches and only feasible for a small number of atoms. Accurate experimen ...
Exact solution of a massless scalar field with a relevant
... (2.3): solitons, which are time-independent and topologically non-trivial, and breathers, which are time-dependent and topologically trivial. Intuitively, a breather can be thought of as a bound state of a kink and an antikink oscillating in and out (i.e. breathing). In this section, we will discuss ...
... (2.3): solitons, which are time-independent and topologically non-trivial, and breathers, which are time-dependent and topologically trivial. Intuitively, a breather can be thought of as a bound state of a kink and an antikink oscillating in and out (i.e. breathing). In this section, we will discuss ...
Spin-Valley Kondo Effect in Multi
... This in turn is split by small effects that break the mirror symmetry (reflection through the x-y plane). This small (< 1 meV) splitting is enhanced by a perpendicular magnetic field. It can be controlled by changing electrostatic and magnetic confinement8 . On the other hand, a two-dimensional tigh ...
... This in turn is split by small effects that break the mirror symmetry (reflection through the x-y plane). This small (< 1 meV) splitting is enhanced by a perpendicular magnetic field. It can be controlled by changing electrostatic and magnetic confinement8 . On the other hand, a two-dimensional tigh ...
61, 062310 (2000)
... identification. The next problem is how to realize these cloning and identifying transformations by physical means. The fundamental unit of quantum information transmission is the quantum bit 共qubit兲, i.e., a two-state quantum system, which is capable of existing in a superposition of Boolean states ...
... identification. The next problem is how to realize these cloning and identifying transformations by physical means. The fundamental unit of quantum information transmission is the quantum bit 共qubit兲, i.e., a two-state quantum system, which is capable of existing in a superposition of Boolean states ...
Application of Quantum Computing principles to Natural Language Processing
... processing and the functioning of the mind has been proposed by many previous works. [4, 8] In this thesis, we study further how quantum computing can be used to give efficient algorithms for common problems which are a part of NLP. ...
... processing and the functioning of the mind has been proposed by many previous works. [4, 8] In this thesis, we study further how quantum computing can be used to give efficient algorithms for common problems which are a part of NLP. ...
Topological insulators and superconductors
... Let us now see how we can describe changes in the time-reversal polarization under the influence of an additional parameter ky . Written as in (5.21), it is only defined for ky = 0, ⇡, 2⇡, i.e, at TRIMs. In Fig. 5.3 we illustrate what we can expect from such a smooth change. We start at ky = 0. If w ...
... Let us now see how we can describe changes in the time-reversal polarization under the influence of an additional parameter ky . Written as in (5.21), it is only defined for ky = 0, ⇡, 2⇡, i.e, at TRIMs. In Fig. 5.3 we illustrate what we can expect from such a smooth change. We start at ky = 0. If w ...
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.