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19922026
most citedQuantum information with continuous variables

3.9k citations

Showing 2005 · math-phShow all

8 papers · 2 filters

math-ph2005★ 5 cited

Bethe Equations for a g_2 Model

N. Crampe, C. A. S. Young

We prove, using the coordinate Bethe ansatz, the exact solvability of a model of three particles whose point-like interactions are determined by the root system of g_2. The statist…

math-ph2005★ 46 cited

Spectrum and Bethe ansatz equations for the U_ {q}(gl(N)) closed and open spin chains in any representation

D. Arnaudon, N. Crampe, A. Doikou +2

We consider the N-site U_{q}(gl(N)) integrable spin chain with periodic and open diagonal soliton-preserving boundary conditions. By employing analytical Bethe ansatz techniques we…

math-ph2005★ 3 cited

New spin generalisation for long range interaction models

N. Crampe

We study new interactions between degrees of freedom for Calogero, Sutherland and confined Calogero spin models. These interactions are encoded by the generators of the Lie algebra…

math-ph2005★ 4 cited

Analytical Bethe ansatz in gl(N) spin chains

D. Arnaudon, N. Crampe, A. Doikou +2

We present a global treatment of the analytical Bethe ansatz for gl(N) spin chains admitting on each site an arbitrary representation. The method applies for closed and open spin c…

math-ph2005★ 4 cited

Lie algebras associated with one-dimensional aperiodic point sets

David B. Fairlie, Reidun Twarock, Cosmas K. Zachos

The set of points of a one-dimensional cut-and-project quasicrystal or model set, while not additive, is shown to be multiplicative for appropriate choices of acceptance windows. T…

math-ph2005★ 17 cited

Analytical Bethe Ansatz for open spin chains with soliton non preserving boundary conditions

D. Arnaudon, N. Crampe, A. Doikou +2

We present an ``algebraic treatment'' of the analytical Bethe ansatz for open spin chains with soliton non preserving (SNP) boundary conditions. For this purpose, we introduce abst…

math-ph2005★ 1 cited

Quantum Energy Inequalities and Stability Conditions in Quantum Field Theory

Christopher J. Fewster

We give a brief review of quantum energy inequalities (QEIs) and then discuss two lines of work which suggest that QEIs are closely related to various natural properties of quantum…

math-ph2005★ 41 cited

Energy Inequalities in Quantum Field Theory

Christopher J. Fewster

Quantum fields are known to violate all the pointwise energy conditions of classical general relativity. We review the subject of quantum energy inequalities: lower bounds satisfie…