In a quantum critical chain, the scaling regime of the energy and momentum of the ground state and low-lying excitations are described by conformal field theory (CFT). The same holds true for the von… (More)

N = 4 supersymmetric Yang-Mills operators carrying large charges are dual to semiclassical strings in AdS5 × S. The spectrum of anomalous dimensions of very large operators has been calculated… (More)

The q–deformation U q (h 4) of the harmonic oscillator algebra is defined and proved to be a Ribbon Hopf algebra. Associated with this Hopf algebra we define an infinite dimensional braid group… (More)

The number N(E) of complex zeros of the Riemann zeta function with positive imaginary part less than E is the sum of a "smooth" function N[over ](E) and a "fluctuation." Berry and Keating have shown… (More)

We propose a quantum circuit that creates a pure state corresponding to the quantum superposition of all prime numbers less than 2, where n is the number of qubits of the register. This Prime state… (More)

The density matrix renormalization group (DMRG) [1] has been applied with great success to a large variety of systems in condensed matter and statistical mechanics (see [2] for a review). Most of… (More)

The fractional quantum Hall effect is one of the most striking phenomena in condensed matter physics. It is described by a simple Laughlin wavefunction and has been thoroughly studied both… (More)

In this paper we consider a class of the 2D integrable models. These models are higher spin XXZ chains with an extra condition of the commensurability between spin and anisotropy. The mathematics… (More)