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most citedEntanglement of low-energy excitations in Conformal Field Theory

205 citations · 3k across the 122 of their papers we have counts for

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6 papers · 1 filter

quant-ph2011★ 9 cited

Qubism: self-similar visualization of many-body wavefunctions

Javier Rodriguez-Laguna, Piotr Migdał, Miguel Ibáñez Berganza +2

A visualization scheme for quantum many-body wavefunctions is described, which we have termed qubism. Its main property is its recursivity: increasing the number of qubits reflects…

math-ph2011★ 16 cited

General covariant xp models and the Riemann zeros

German Sierra

We study a general class of models whose classical Hamiltonians are given by H = U(x) p + V(x)/p, where x and p are the position and momentum of a particle moving in one dimension,…

cond-mat.str-el2011★ 75 cited

Quantum spin Hamiltonians for the SU(2)_k WZW model

Anne E. B. Nielsen, J. Ignacio Cirac, German Sierra

We propose to use null vectors in conformal field theories to derive model Hamiltonians of quantum spin chains and corresponding ground state wave function(s). The approach is quit…

cond-mat.str-el2011★ 15 cited

Violation of the area law and long range correlations in infinite matrix product states

Anne E. B. Nielsen, German Sierra, J. Ignacio Cirac

We propose to construct a family of states of one-dimensional spin chains by replacing the finite dimensional matrices in matrix product states by infinite dimensional operators co…

math-ph2011★ 59 cited

The H=xp model revisited and the Riemann zeros

German Sierra, Javier Rodriguez-Laguna

Berry and Keating conjectured that the classical Hamiltonian H = xp is related to the Riemann zeros. A regularization of this model yields semiclassical energies that behave, in av…

cond-mat.stat-mech2011★ 205 cited

Entanglement of low-energy excitations in Conformal Field Theory

Francisco Castilho Alcaraz, Miguel Ibanez Berganza, German Sierra

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 hol…