Topological Superconductivity in Artificial Heterostructures
... the topological invariant of the system, called the Chern number or the TKNN invariant. A lot of effort has been taken to identify these invariant quantities for other systems and their interplay with symmetries has led to an exhaustive classification for non-interacting systems [4–7]. Topological ins ...
... the topological invariant of the system, called the Chern number or the TKNN invariant. A lot of effort has been taken to identify these invariant quantities for other systems and their interplay with symmetries has led to an exhaustive classification for non-interacting systems [4–7]. Topological ins ...
Dirac Theory and Topological Phases of Silicon Nanotube
... in Fig.2. Hence a topological phase transition occurs between a topological insulator and a band insulator as Ez changes. The topological insulator is characterized by one of the following two defining properties[10, 11]. (1) The topological insulator has a nontrivial topological number, the Z2 inde ...
... in Fig.2. Hence a topological phase transition occurs between a topological insulator and a band insulator as Ez changes. The topological insulator is characterized by one of the following two defining properties[10, 11]. (1) The topological insulator has a nontrivial topological number, the Z2 inde ...
UvA-DARE (Digital Academic Repository) The problem of
... of this conference was precisely that a new historical awareness was crafted, which would define the new generation of physicists. 11 What was at stake was the creation of a about the classical/modern distinction. See especially Richard Staley, ‘Worldviews and Physicists’ ...
... of this conference was precisely that a new historical awareness was crafted, which would define the new generation of physicists. 11 What was at stake was the creation of a about the classical/modern distinction. See especially Richard Staley, ‘Worldviews and Physicists’ ...
104,18415 (2007)
... to the toric code (3), in the terminology of topological quantum computation. It is written in terms of the operator associated with lattice plaquettes, Wp ⫽ x1 y2 z3 x4 y5 6, (see Fig. 1a), which can have eigenvalues ⫹1 or ⫺1. Wp tests the spin orientation around hexagons. The ground state i ...
... to the toric code (3), in the terminology of topological quantum computation. It is written in terms of the operator associated with lattice plaquettes, Wp ⫽ x1 y2 z3 x4 y5 6, (see Fig. 1a), which can have eigenvalues ⫹1 or ⫺1. Wp tests the spin orientation around hexagons. The ground state i ...
1 Hilbert`s Axioms of Geometry
... V.1 (Axiom of Archimedes) If AB and CD are any segments, then there exists a number n such that n segments congruent to CD constructed contiguously from A, along a ray from A through B, will pass beyond B. V.2 (Axiom of completeness) An extension of a set of points on a line, with its order and cong ...
... V.1 (Axiom of Archimedes) If AB and CD are any segments, then there exists a number n such that n segments congruent to CD constructed contiguously from A, along a ray from A through B, will pass beyond B. V.2 (Axiom of completeness) An extension of a set of points on a line, with its order and cong ...
A classical path to unification - Max-Planck
... An overview is given of a classical unified theory of gravity, elementary particles and quantum phenomena based on soliton solutions of Einstein’s vacuum equations in twelve dimensional space. Bell’s theorem on the EinsteinPodolsky-Rosen experiment, which is widely interpreted as ruling out classica ...
... An overview is given of a classical unified theory of gravity, elementary particles and quantum phenomena based on soliton solutions of Einstein’s vacuum equations in twelve dimensional space. Bell’s theorem on the EinsteinPodolsky-Rosen experiment, which is widely interpreted as ruling out classica ...
Pair production processes and flavor in gauge
... condensate, contribute. However, such contributions are usually neglected when determining the propagation of elementary particles. Given that they are proportional to the fermion-Higgs-Yukawa coupling, they should indeed be negligible for anything but for the top and, perhaps, the bottom. We will r ...
... condensate, contribute. However, such contributions are usually neglected when determining the propagation of elementary particles. Given that they are proportional to the fermion-Higgs-Yukawa coupling, they should indeed be negligible for anything but for the top and, perhaps, the bottom. We will r ...
Lecture notes - UCSD Department of Physics
... directed at graduate students in theoretical physics; this includes high-energy theory and condensed matter theory and maybe some other areas, too. The subject of the course is regulated quantum field theory (QFT): we will study quantum field theories which can be constructed by starting from system ...
... directed at graduate students in theoretical physics; this includes high-energy theory and condensed matter theory and maybe some other areas, too. The subject of the course is regulated quantum field theory (QFT): we will study quantum field theories which can be constructed by starting from system ...
Document
... In any of the orthogonal coordinate systems, an arbitrary vector can be expressed in terms of a superposition of the three base vectors. Consider base vectors such that Such a aˆ1 aˆ 2 aˆ3 â3 coordinate aˆ 2 aˆ3 aˆ1 system is called right-handed. aˆ3 aˆ1 aˆ 2 â1 ...
... In any of the orthogonal coordinate systems, an arbitrary vector can be expressed in terms of a superposition of the three base vectors. Consider base vectors such that Such a aˆ1 aˆ 2 aˆ3 â3 coordinate aˆ 2 aˆ3 aˆ1 system is called right-handed. aˆ3 aˆ1 aˆ 2 â1 ...
Holographic quantum error-correcting code
... In fact, the above result holds S(⇢A )for any tiling of a space with nonp ong as the distance functions have no local minima. To obtain the result, |`A | we use the correspondence between local m ns of EPR pairs. Let us first consider a wavefunction which is obtain perfect tensors as depicted in Fig ...
... In fact, the above result holds S(⇢A )for any tiling of a space with nonp ong as the distance functions have no local minima. To obtain the result, |`A | we use the correspondence between local m ns of EPR pairs. Let us first consider a wavefunction which is obtain perfect tensors as depicted in Fig ...
Topology and robot motion planning
... Continuity Topological spaces X and Y are homeomorphic if there are continuous functions f : X → Y and g : Y → X such that ...
... Continuity Topological spaces X and Y are homeomorphic if there are continuous functions f : X → Y and g : Y → X such that ...
introduction to quantum field theory
... Physical systems that involve an infinite number of degrees of freedom can conveniently be described by some sort of field theory. Almost all systems in nature involve an extremely large number of degrees of freedom. For instance, a droplet of water contains of the order of 1026 molecules and while ...
... Physical systems that involve an infinite number of degrees of freedom can conveniently be described by some sort of field theory. Almost all systems in nature involve an extremely large number of degrees of freedom. For instance, a droplet of water contains of the order of 1026 molecules and while ...
(pdf)
... In classical computation, there are a of number problems that cannot be solved with efficient algorithms. For example, the best classical algorithm for factorizing a large integer N increases exponentially with the size of the integer. If we continue to increase the size of the integer, it does not ...
... In classical computation, there are a of number problems that cannot be solved with efficient algorithms. For example, the best classical algorithm for factorizing a large integer N increases exponentially with the size of the integer. If we continue to increase the size of the integer, it does not ...
What Is Quantum Information? - Quantum Theory Group at CMU
... about the (earlier) state of a quantum system is available at some place in the environment, then other maximallyincompatible species of information about the same system will not be present at other places in the environment, or in the system itself. ◦ (Pace Zurek) It does not matter how many diffe ...
... about the (earlier) state of a quantum system is available at some place in the environment, then other maximallyincompatible species of information about the same system will not be present at other places in the environment, or in the system itself. ◦ (Pace Zurek) It does not matter how many diffe ...
Extending SDL and LMC Complexity Measures to Quantum States
... Consequently, these two simple systems are on the extreme of the scales of order and information implying that a convenient definition of complexity should be proposed combining order and information [11]. Starting with the association of disorder and entropy representing thermodynamic equilibrium, ...
... Consequently, these two simple systems are on the extreme of the scales of order and information implying that a convenient definition of complexity should be proposed combining order and information [11]. Starting with the association of disorder and entropy representing thermodynamic equilibrium, ...
Algorithms and Proofs in Geometry
... necessary to add or subtract other lines; or else, taking one line which I shall call unity, and having given two other lines, to find a fourth line which is to one of the given lines as the other is to unity (which is the same as multiplication); or, again, to find a fourth line which is to one of ...
... necessary to add or subtract other lines; or else, taking one line which I shall call unity, and having given two other lines, to find a fourth line which is to one of the given lines as the other is to unity (which is the same as multiplication); or, again, to find a fourth line which is to one of ...