Naturalness via scale invariance and non-trivial UV fixed points in a 4d O(N) scalar field model in the large-N limit
... the theory. Such a scenario is not amenable to analysis via the loop expansion, traditional perturbation theory or a weak field expansion in powers of the scalar field. In particular, we give up perturbative renormalizability, but require it in a non-perturbative sense so as to ensure predictive pow ...
... the theory. Such a scenario is not amenable to analysis via the loop expansion, traditional perturbation theory or a weak field expansion in powers of the scalar field. In particular, we give up perturbative renormalizability, but require it in a non-perturbative sense so as to ensure predictive pow ...
Shor`s Factoring Algorithm and Modern Cryptography. An Illustration
... .Bob creates his RSA public key system in the following fashion7 : He first selects two different large prime numbers p and q, and then computes their product N = pq. Next he also computes the product φ = (p-1)(q-1) = N +1-(p+q), and then selects a positive integer e which is coprime to φ (meaning e ...
... .Bob creates his RSA public key system in the following fashion7 : He first selects two different large prime numbers p and q, and then computes their product N = pq. Next he also computes the product φ = (p-1)(q-1) = N +1-(p+q), and then selects a positive integer e which is coprime to φ (meaning e ...
Quantum Monte Carlo simulations of solids W. M. C. Foulkes
... In studying the quantum-mechanical properties of solids, we are fortunate that the underlying physical laws have been known for over 70 years. The difficulty arises from the complexity of the equations that, as Dirac (1929) famously wrote, are ‘‘much too complicated to be soluble.’’ It hardly seems ...
... In studying the quantum-mechanical properties of solids, we are fortunate that the underlying physical laws have been known for over 70 years. The difficulty arises from the complexity of the equations that, as Dirac (1929) famously wrote, are ‘‘much too complicated to be soluble.’’ It hardly seems ...
Simulations of prompt many-body ionization in a frozen Rydberg gas Robicheaux
... in terms of ratios, the actual value of n chosen is not relevant. At small enough n, quantum effects will become important but that is beyond the scope of this paper. We chose the initial position of each electron to be randomly on a sphere of radius r0 = 2n2 a0 /100 centered on its nucleus; the ini ...
... in terms of ratios, the actual value of n chosen is not relevant. At small enough n, quantum effects will become important but that is beyond the scope of this paper. We chose the initial position of each electron to be randomly on a sphere of radius r0 = 2n2 a0 /100 centered on its nucleus; the ini ...
Ab Initio Calculations of Intermediates of Oxygen Reduction on Low
... ⬍ Pt(110). 9 An exceptionally large deactivation is observed at the 共111兲 surface probably due to competition of the strongly adsorbing 共bi兲sulfate anion. In perchloric acid solution, the variation in activity at 0.8-0.9 V is relatively small between the three low index faces, with the activity incr ...
... ⬍ Pt(110). 9 An exceptionally large deactivation is observed at the 共111兲 surface probably due to competition of the strongly adsorbing 共bi兲sulfate anion. In perchloric acid solution, the variation in activity at 0.8-0.9 V is relatively small between the three low index faces, with the activity incr ...
Quantum Annealing with Markov Chain Monte Carlo Simulations
... In contrast to the fact that research laboratories can usually manage quantum computers with up to about a dozen of qubits, D-Wave devices utilize a solid state architecture with over a thousand of interlaced superconducting flux qubits. The manufacturing methods and computing technologies of the D- ...
... In contrast to the fact that research laboratories can usually manage quantum computers with up to about a dozen of qubits, D-Wave devices utilize a solid state architecture with over a thousand of interlaced superconducting flux qubits. The manufacturing methods and computing technologies of the D- ...
thesis
... can be deformed into each other by smooth deformations of the world lines (without intermediate intersections). If space has three or more dimensions one can see that there is no topologically different notion of ‘under’ and ‘over’ crossing of world lines, but any exchange of coordinates is simply t ...
... can be deformed into each other by smooth deformations of the world lines (without intermediate intersections). If space has three or more dimensions one can see that there is no topologically different notion of ‘under’ and ‘over’ crossing of world lines, but any exchange of coordinates is simply t ...
Circuit QED: Superconducting Qubits Coupled to
... Quantum electrodynamics is the theory of interaction between electrons (and atoms) with electromagnetic fields. These lecture notes discuss the closely related problem of quantization of electrical circuits (Devoret, 1997; Schoelkopf and Girvin, 2008). Experimental progress over the last decade in c ...
... Quantum electrodynamics is the theory of interaction between electrons (and atoms) with electromagnetic fields. These lecture notes discuss the closely related problem of quantization of electrical circuits (Devoret, 1997; Schoelkopf and Girvin, 2008). Experimental progress over the last decade in c ...
PT symmetry as a necessary and sufficient condition for unitary time
... was noted in [2] that if a Hamiltonian is PT -symmetric, the secular equation would be real. Moreover, it is not specifically PT invariance itself that is required for the proof. All one needs is that H be invariant under the action of the product of a discrete linear operator and a discrete antilin ...
... was noted in [2] that if a Hamiltonian is PT -symmetric, the secular equation would be real. Moreover, it is not specifically PT invariance itself that is required for the proof. All one needs is that H be invariant under the action of the product of a discrete linear operator and a discrete antilin ...
Quantum Hall ferromagnet at high filling factors: A magnetic
... The factor 4 in Eq. 共2兲 simply arises from the definition of m. This expression confirms the intuitive idea that the larger the density of state is, the smaller the energy cost of flipping spins will be, simply because more states are available at lower energies. Calculations assuming a Gaussian for ...
... The factor 4 in Eq. 共2兲 simply arises from the definition of m. This expression confirms the intuitive idea that the larger the density of state is, the smaller the energy cost of flipping spins will be, simply because more states are available at lower energies. Calculations assuming a Gaussian for ...
Quantum Money from Hidden Subspaces
... to offload the verification of banknotes to local merchants, while Gavinsky [23] proposed a variant of Wiesner’s scheme that requires only classical communication between the merchant and bank. However, most of the focus today is on a more ambitious goal: namely, creating what Aaronson [3] called pu ...
... to offload the verification of banknotes to local merchants, while Gavinsky [23] proposed a variant of Wiesner’s scheme that requires only classical communication between the merchant and bank. However, most of the focus today is on a more ambitious goal: namely, creating what Aaronson [3] called pu ...
Physics of white dwarf stars
... The case for white dwarfs as physical laboratories can be made even mork convincing. At the present time 26 white dwarfs are known to have magnetic fields in the range l o 6 to lo9 G (Schmidt 1989). By comparison, the largest steady field that can be produced in the laboratory is only l o 5 G becaus ...
... The case for white dwarfs as physical laboratories can be made even mork convincing. At the present time 26 white dwarfs are known to have magnetic fields in the range l o 6 to lo9 G (Schmidt 1989). By comparison, the largest steady field that can be produced in the laboratory is only l o 5 G becaus ...
Automatic generation of active coordinates for quantum dynamics
... in Fig. 1. If the energy-difference Hessian is evaluated at the ground state PES minimum and projected onto the space orthogonal to the plane 共x1 , x2兲, one has the information about the curvature of the energy difference in this subspace. Diagonalization of this projected Hessian gives a set of vib ...
... in Fig. 1. If the energy-difference Hessian is evaluated at the ground state PES minimum and projected onto the space orthogonal to the plane 共x1 , x2兲, one has the information about the curvature of the energy difference in this subspace. Diagonalization of this projected Hessian gives a set of vib ...
Hydrogen atom
A hydrogen atom is an atom of the chemical element hydrogen. The electrically neutral atom contains a single positively charged proton and a single negatively charged electron bound to the nucleus by the Coulomb force. Atomic hydrogen constitutes about 75% of the elemental (baryonic) mass of the universe.In everyday life on Earth, isolated hydrogen atoms (usually called ""atomic hydrogen"" or, more precisely, ""monatomic hydrogen"") are extremely rare. Instead, hydrogen tends to combine with other atoms in compounds, or with itself to form ordinary (diatomic) hydrogen gas, H2. ""Atomic hydrogen"" and ""hydrogen atom"" in ordinary English use have overlapping, yet distinct, meanings. For example, a water molecule contains two hydrogen atoms, but does not contain atomic hydrogen (which would refer to isolated hydrogen atoms).