Helium atom - ChaosBook.org
... returning to the boundary with the right symbol length we will find time reversal symmetric cycles by varying the starting point on the boundary as the only parameter. But how can we tell whether a given cycle is self-retracing or not? All the relevant information is contained in the itineraries; a ...
... returning to the boundary with the right symbol length we will find time reversal symmetric cycles by varying the starting point on the boundary as the only parameter. But how can we tell whether a given cycle is self-retracing or not? All the relevant information is contained in the itineraries; a ...
Quantum groups and integrable lattice models UMN Math Physics Seminar
... This operator (”R-matrix “) captures contributions of a single vertex to the partition function. Consider an (N + 1)-fold tensor product V0 ⊗ V1 ⊗ · · · ⊗ VN (Vi = V ) and let Rij be the operator acting on the Vi ⊗ Vj component of this product as R and as identity on any other Vl . ...
... This operator (”R-matrix “) captures contributions of a single vertex to the partition function. Consider an (N + 1)-fold tensor product V0 ⊗ V1 ⊗ · · · ⊗ VN (Vi = V ) and let Rij be the operator acting on the Vi ⊗ Vj component of this product as R and as identity on any other Vl . ...
Information and Entropy in Neural Networks and Interacting Systems
... Ratio of expected value (first moment) of new entropy plotted against bin number K and prior exponent β for entropy parameter q = 0.5. . . . . . . . . . . . . . . . . . . . . . . . . 196 ...
... Ratio of expected value (first moment) of new entropy plotted against bin number K and prior exponent β for entropy parameter q = 0.5. . . . . . . . . . . . . . . . . . . . . . . . . 196 ...
Spooky Action at Spacy Distances
... [55] that a computational task could be performed by any computer we could theoretically build if and only if it can be performed by a probabilistic Universal Turing Machine. This result is generally stated as the following thesis. Definition 1.1 (Classical Strong Church-Turing Thesis). A probabilis ...
... [55] that a computational task could be performed by any computer we could theoretically build if and only if it can be performed by a probabilistic Universal Turing Machine. This result is generally stated as the following thesis. Definition 1.1 (Classical Strong Church-Turing Thesis). A probabilis ...
Majorana and Condensed Matter Physics
... when the evolution is slow and smooth, namely the adiabatic theorem. It states, roughly speaking, that if the magnetic field varies slowing on the scale set by the (inverse) energy splittings γ2 |B|, states initially occupying an energy eigenstate will remain within that energy eigenstate, as it evo ...
... when the evolution is slow and smooth, namely the adiabatic theorem. It states, roughly speaking, that if the magnetic field varies slowing on the scale set by the (inverse) energy splittings γ2 |B|, states initially occupying an energy eigenstate will remain within that energy eigenstate, as it evo ...
Universal quantum simulation with prethreshold superconducting qubits: Single-excitation subspace method
... Current quantum computing architectures lack the size and fidelity required for universal fault-tolerant operation, limiting the practical implementation of key quantum algorithms to all but the smallest problem sizes. In this work we propose an alternative method for general-purpose quantum computa ...
... Current quantum computing architectures lack the size and fidelity required for universal fault-tolerant operation, limiting the practical implementation of key quantum algorithms to all but the smallest problem sizes. In this work we propose an alternative method for general-purpose quantum computa ...
Spin-orbit coupling effects, interactions and superconducting
... coupling (SOI) and Coulomb interaction in carbon nanotubes (CNTs) as well as quantum wires. We derive low energy theories for both systems, using the bosonization technique and obtain analytic expressions for the correlation functions that allow us to compute basically all observables of interest. W ...
... coupling (SOI) and Coulomb interaction in carbon nanotubes (CNTs) as well as quantum wires. We derive low energy theories for both systems, using the bosonization technique and obtain analytic expressions for the correlation functions that allow us to compute basically all observables of interest. W ...
Non-perturbative approaches to transport in nanostructures and
... Both these systems are classed as ’zero dimensional’ as opposed to wires, sheets or bulky systems, and each has specific characteristics that make them specially suited to study different effects of interaction effects. In a first approximation both can be seen as a small spatial region, connected ( ...
... Both these systems are classed as ’zero dimensional’ as opposed to wires, sheets or bulky systems, and each has specific characteristics that make them specially suited to study different effects of interaction effects. In a first approximation both can be seen as a small spatial region, connected ( ...
General Properties of Quantum Zero
... All the properties proved in this paper on quantum computational zeroknowledge proofs hold unconditionally, meaning that they hold without any computational assumptions such as the existence of quantum one-way functions or permutations. Some of these properties may be regarded as quantum versions of ...
... All the properties proved in this paper on quantum computational zeroknowledge proofs hold unconditionally, meaning that they hold without any computational assumptions such as the existence of quantum one-way functions or permutations. Some of these properties may be regarded as quantum versions of ...
Experiments with Entangled Photons Bell Inequalities, Non-local Games and Bound Entanglement
... Quantum mechanics is one of the most fascinating fields in modern physics, and the heart of its fascination comes from counterintuitive and non-classical concepts. Concepts like wave-particle duality, absence of exact predictability, and inseparability of the universe at a larger scale, makes it an ...
... Quantum mechanics is one of the most fascinating fields in modern physics, and the heart of its fascination comes from counterintuitive and non-classical concepts. Concepts like wave-particle duality, absence of exact predictability, and inseparability of the universe at a larger scale, makes it an ...
Document
... terms which guarantee that the conservation laws are obeyed. All these properties are vital for treating open and correlated systems associated to the physical phenomena such as electron transport. In this thesis, we apply the Kadanoff-Baym formalism to study time-dependent nonequilibrium processes ...
... terms which guarantee that the conservation laws are obeyed. All these properties are vital for treating open and correlated systems associated to the physical phenomena such as electron transport. In this thesis, we apply the Kadanoff-Baym formalism to study time-dependent nonequilibrium processes ...
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.