
Entanglement and Tensor Network States - cond
... edge set. dist(., .) is then the graph-theoretical distance, so the minimum number of steps one has to walk on the graph in order to get from one vertex to another. Particularly important are, however, regular graphs, and even more so particularly common regular graphs. In fact, most of the time we ...
... edge set. dist(., .) is then the graph-theoretical distance, so the minimum number of steps one has to walk on the graph in order to get from one vertex to another. Particularly important are, however, regular graphs, and even more so particularly common regular graphs. In fact, most of the time we ...
Bose–Einstein condensation: Where many become one and so there is plenty of room at the bottom
... Note on indistinguishability Two objects may be said to be indistinguishable if they are merely two different states of the same underlying entity. This, of course, happens naturally in a quantum-field description where the particles are the excitations of an underlying field – just its internal mov ...
... Note on indistinguishability Two objects may be said to be indistinguishable if they are merely two different states of the same underlying entity. This, of course, happens naturally in a quantum-field description where the particles are the excitations of an underlying field – just its internal mov ...
Relativistic Néel-Order Fields Induced by Electrical Current in
... Commercial spin-based memory and storage devices rely on one type of magnetic order, ferromagnetism, and one basic principle, that the opposite spin orientations in a ferromagnet (FM) represent the 0 s and 1 s [1]. Magnetic random access memory (MRAM) is a solid-state-memory variant of the hard disk ...
... Commercial spin-based memory and storage devices rely on one type of magnetic order, ferromagnetism, and one basic principle, that the opposite spin orientations in a ferromagnet (FM) represent the 0 s and 1 s [1]. Magnetic random access memory (MRAM) is a solid-state-memory variant of the hard disk ...
Collisional properties of ultracold potassium
... suggests that this kind of extrapolation is difficult to carry out, at least to the accuracy needed to predict extremely sensitive quantities such as threshold scattering lengths. Nevertheless, we find that the improved dissociation threshold reported in @17# is adequate to determine the number of b ...
... suggests that this kind of extrapolation is difficult to carry out, at least to the accuracy needed to predict extremely sensitive quantities such as threshold scattering lengths. Nevertheless, we find that the improved dissociation threshold reported in @17# is adequate to determine the number of b ...
Introduction
... This natural association makes it possible to describe physical theories without using the differential formulation from the outset. A formulation based on algebraic topology emphasizes the topological, geometric and mathematical structures that are common to all physical theories and that the differe ...
... This natural association makes it possible to describe physical theories without using the differential formulation from the outset. A formulation based on algebraic topology emphasizes the topological, geometric and mathematical structures that are common to all physical theories and that the differe ...
Low-energy fixed points of random Heisenberg models Y.-C. Lin R. Me´lin
... LRO. Frustration of geometrical origin is present in the triangular lattice, where the sublattice magnetization is about 50% of its classical value.23 In more loosely packed frustrated lattices, such as in the kagomé lattice,24 the square lattice with crosses25 共see, however, Ref. 26兲, or in the 3D ...
... LRO. Frustration of geometrical origin is present in the triangular lattice, where the sublattice magnetization is about 50% of its classical value.23 In more loosely packed frustrated lattices, such as in the kagomé lattice,24 the square lattice with crosses25 共see, however, Ref. 26兲, or in the 3D ...
Macroscopic quantum effects based on Kerr nonlinearities
... cool. The main reason that I disliked it before is simply that I do not understand it. Now I am willing to work on those technical problems, which would provide me the knowledge and skills that would be helpful for future fundamental research. Moreover, I found that I actually enjoy doing calculati ...
... cool. The main reason that I disliked it before is simply that I do not understand it. Now I am willing to work on those technical problems, which would provide me the knowledge and skills that would be helpful for future fundamental research. Moreover, I found that I actually enjoy doing calculati ...
Quantum Nonequilibrium Dynamics: Transport, Entanglement, and Thermalization
... The Universe has never been static but has kept expanding to the best of our knowledge at the time. Arguably four most important equations in physics are Newton equation, Maxwell equations, Einstein field equation, and Scrödinger equation. All of these equations include the time variable and descri ...
... The Universe has never been static but has kept expanding to the best of our knowledge at the time. Arguably four most important equations in physics are Newton equation, Maxwell equations, Einstein field equation, and Scrödinger equation. All of these equations include the time variable and descri ...
Read PDF - Physics (APS) - American Physical Society
... While quantum mechanics exquisitely describes the behavior of microscopic systems, one ongoing challenge is to explore its applicability to systems of larger size and mass. Unfortunately, quantum states of increasingly macroscopic objects are more easily corrupted by unintentional measurements from ...
... While quantum mechanics exquisitely describes the behavior of microscopic systems, one ongoing challenge is to explore its applicability to systems of larger size and mass. Unfortunately, quantum states of increasingly macroscopic objects are more easily corrupted by unintentional measurements from ...
Quantum Structures
... At the turn of the last century there were a number of questions concerning the atomic and molecular levels in the physical world. That was the motivation of Heisenberg, Schroedinger, Dirac, Weyl, Wigner, etc. in developing quantum mechanics, and they were duly “solved”. The contributions fell into ...
... At the turn of the last century there were a number of questions concerning the atomic and molecular levels in the physical world. That was the motivation of Heisenberg, Schroedinger, Dirac, Weyl, Wigner, etc. in developing quantum mechanics, and they were duly “solved”. The contributions fell into ...
quantum computation of the jones polynomial - Unicam
... crossings at which D1 passes over (or under) D2 , considered with the sign given by the convection above. Equivalently the linking number lk(K1, K2)D is half the sum of the signs of the crossings at which one strand is from K1 and the other is from K2 . We can see that this number is invariant for R ...
... crossings at which D1 passes over (or under) D2 , considered with the sign given by the convection above. Equivalently the linking number lk(K1, K2)D is half the sum of the signs of the crossings at which one strand is from K1 and the other is from K2 . We can see that this number is invariant for R ...
23 - Electronic Colloquium on Computational Complexity
... cos Θ − sin Θ UΘ = sin Θ cos Θ This transformation takes any state and rotates it by Θ counterclockwise. Fix Θ = π/4. Then it’s clear from the picture that if we were to apply UΘ to |0i, we’d get |+i. If we were to apply UΘ one more time, then we’d get |1i. This small example illustrates what’s call ...
... cos Θ − sin Θ UΘ = sin Θ cos Θ This transformation takes any state and rotates it by Θ counterclockwise. Fix Θ = π/4. Then it’s clear from the picture that if we were to apply UΘ to |0i, we’d get |+i. If we were to apply UΘ one more time, then we’d get |1i. This small example illustrates what’s call ...
The Double Slit Experiment and Quantum Mechanics∗
... This latest particle behavior is quite distinct from that of sound waves. If we measured how much of sound wave energy went through each slit, we would find that the sound wave split its energy equally between the slits and still formed a double slit pattern. Particles on the other hand, choose one ...
... This latest particle behavior is quite distinct from that of sound waves. If we measured how much of sound wave energy went through each slit, we would find that the sound wave split its energy equally between the slits and still formed a double slit pattern. Particles on the other hand, choose one ...
Bell's theorem
Bell's theorem is a ‘no-go theorem’ that draws an important distinction between quantum mechanics (QM) and the world as described by classical mechanics. This theorem is named after John Stewart Bell.In its simplest form, Bell's theorem states:Cornell solid-state physicist David Mermin has described the appraisals of the importance of Bell's theorem in the physics community as ranging from ""indifference"" to ""wild extravagance"". Lawrence Berkeley particle physicist Henry Stapp declared: ""Bell's theorem is the most profound discovery of science.""Bell's theorem rules out local hidden variables as a viable explanation of quantum mechanics (though it still leaves the door open for non-local hidden variables). Bell concluded:Bell summarized one of the least popular ways to address the theorem, superdeterminism, in a 1985 BBC Radio interview: