An introduction to topological phases of electrons
... along paths (not path integrals in the physics sense, where the path itself is integrate over) that are nearly independent of the precise path: they will turn out to depend in some cases on topological properties (homotopy or cohomology). We will assume throughout these notes, unless otherwise speci ...
... along paths (not path integrals in the physics sense, where the path itself is integrate over) that are nearly independent of the precise path: they will turn out to depend in some cases on topological properties (homotopy or cohomology). We will assume throughout these notes, unless otherwise speci ...
Dynamical Aspects of Information Storage in Quantum
... the “true” gate Gi by ²i , then the corresponding resultant states will differ by at most ²1 +²2 +. . .+²n . Secondly, in the case of noisy computation, each gate will be perturbed by noise, thus resulting in additional error. This situation was handled by Kitaev [66], with the same conclusion: erro ...
... the “true” gate Gi by ²i , then the corresponding resultant states will differ by at most ²1 +²2 +. . .+²n . Secondly, in the case of noisy computation, each gate will be perturbed by noise, thus resulting in additional error. This situation was handled by Kitaev [66], with the same conclusion: erro ...
DENSITY CONCEPT IN MOLECULES AND MATERIALS
... The basic ideas underlying the versatile uses of the concept of density in the modeling of molecules and materials, as visualized in various length scales, are outlined. In the microscopic length scale, it is the electron density that has played a major role in providing a deeper understanding of ch ...
... The basic ideas underlying the versatile uses of the concept of density in the modeling of molecules and materials, as visualized in various length scales, are outlined. In the microscopic length scale, it is the electron density that has played a major role in providing a deeper understanding of ch ...
Popper`s Paradoxical Pursuit of Natural Philosophy
... accurately; it is rather, to explain and understand. This means, in turn, that theoretical physics, pursued as a part of natural philosophy, seeks to enhance our knowledge and understanding of that aspect of the world that lies behind what can be observed, in terms of which observable phenomena can ...
... accurately; it is rather, to explain and understand. This means, in turn, that theoretical physics, pursued as a part of natural philosophy, seeks to enhance our knowledge and understanding of that aspect of the world that lies behind what can be observed, in terms of which observable phenomena can ...
2. Fundamental principles
... If we make only one measurement of the position x, it doesn’t help much to know the theoretical probability distribution. In this case, our theory only tells us that x will lie somewhere between the walls of the box. And the wave-function postulate tells us that it is not possible to obtain more inf ...
... If we make only one measurement of the position x, it doesn’t help much to know the theoretical probability distribution. In this case, our theory only tells us that x will lie somewhere between the walls of the box. And the wave-function postulate tells us that it is not possible to obtain more inf ...
Minimally Entangled Typical Quantum States at Finite Temperature
... typical wave functions of real systems. The answer is very likely no; typical wave functions have more entanglement than METTS, with eventual entanglement growth perhaps limited by decoherence. One can evolve an ensemble of METTS to some fixed time t; the resulting set of states also satisfy Eq. (1) ...
... typical wave functions of real systems. The answer is very likely no; typical wave functions have more entanglement than METTS, with eventual entanglement growth perhaps limited by decoherence. One can evolve an ensemble of METTS to some fixed time t; the resulting set of states also satisfy Eq. (1) ...
Seminar Quantum Field Theory - Institut für Theoretische Physik III
... We are especially interested in the case of a fourdimensional spacetime. It turns out that in this dimension n < 4 would produce a negative factor in front of V (number of vertices). With the considerations we discussed in section 2.1, we identify this case with a super-renormalizable theory. In the ...
... We are especially interested in the case of a fourdimensional spacetime. It turns out that in this dimension n < 4 would produce a negative factor in front of V (number of vertices). With the considerations we discussed in section 2.1, we identify this case with a super-renormalizable theory. In the ...
Neutron scattering from quantum condensed matter
... Figure 4 | Neutron scattering from superfluids and superconductors. a, Dispersion relation of phonons and rotons in liquid helium extracted from early inelastic neutron scattering experiments37. b, Momentum distribution of helium in its normal liquid and superfluid states38. c,d, Phonon profiles (c) ...
... Figure 4 | Neutron scattering from superfluids and superconductors. a, Dispersion relation of phonons and rotons in liquid helium extracted from early inelastic neutron scattering experiments37. b, Momentum distribution of helium in its normal liquid and superfluid states38. c,d, Phonon profiles (c) ...
Universal edge information from wavefunction deformation
... spectrum of the edge [18, 19]. It is natural to conjecture that this correspondence applies not just to the spectrum but also to the Hamiltonians in an edge-EH correspondence – such a view is indeed supported by the recent work of Ref. [19]. In our paper, we assume that the edge physics of a topolog ...
... spectrum of the edge [18, 19]. It is natural to conjecture that this correspondence applies not just to the spectrum but also to the Hamiltonians in an edge-EH correspondence – such a view is indeed supported by the recent work of Ref. [19]. In our paper, we assume that the edge physics of a topolog ...
Condensed Matter Physics as a Laboratory for Gravitation and
... Physics since it is the electromagnetic and not the gravitational interaction that dominates the physics of CM systems. What points in common would then CMP have with Cosmology and the dynamics of objects in a gravitational eld? There is at least one that is very important: topological defects form ...
... Physics since it is the electromagnetic and not the gravitational interaction that dominates the physics of CM systems. What points in common would then CMP have with Cosmology and the dynamics of objects in a gravitational eld? There is at least one that is very important: topological defects form ...
cond-mat/0406008 PDF
... α, for a large range of values [18]. We also check the dependence of the critical exponent ν for different functional forms of the tunneling probability T (ǫ) in addition to that described by (1). Using, for example, the functional form obtained by Fertig and Halperin [19], yields very similar resul ...
... α, for a large range of values [18]. We also check the dependence of the critical exponent ν for different functional forms of the tunneling probability T (ǫ) in addition to that described by (1). Using, for example, the functional form obtained by Fertig and Halperin [19], yields very similar resul ...
Quantum Theory of Particles and Fields
... between Feynman diagrams and electric circuits, and enables us to make a systematic procedure to all orders of Feynman diagrams The LORE method has been realized in 4D space-time without modifying original Lagrangian, so it cannot be proved in the Lagrangian formalism to all orders The Concept of IL ...
... between Feynman diagrams and electric circuits, and enables us to make a systematic procedure to all orders of Feynman diagrams The LORE method has been realized in 4D space-time without modifying original Lagrangian, so it cannot be proved in the Lagrangian formalism to all orders The Concept of IL ...