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Article
Magnetic properties of commensurate Bose-Bose mixtures in one-dimensional optical lattices
We investigate magnetic properties of strongly interacting bosonic mixtures confined in one dimensional geometries, focusing on recently realized 87Rb-41K gases with tunable interspecies interactions. By combinin...
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Article
From the equations of motion to the canonical commutation relations
The problem of whether or not the equations of motion of a quantum system determine the commutation relations was posed by E. P. Wigner in 1950. A similar problem (known as “The Inverse Problem in the Calculus of...
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Article
Ray space ‘Riccati’ evolution and geometric phases for N-level quantum systems
We present a simple derivation of the matrix Riccati equations governing the reduced dynamics as one descends from the group $$ \mathb...
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Article
Stable particles in anisotropic spin-1 chains
Motivated by field-theoretic predictions we investigate the stable excitations that exist in two characteristic gapped phases of a spin-1 model with Ising-like and single-ion anisotropies. The sine-Gordon the...
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Article
Wigner distributions for finite dimensional quantum systems: An algebraic approach
We discuss questions pertaining to the definition of ‘momentum’, ‘momentum space’, ‘phase space’ and ‘Wigner distributions’; for finite dimensional quantum systems. For such systems, where traditional concepts...
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Chapter and Conference Paper
Low-Dimensional Spin Systems: Hidden Symmetries, Conformal Field Theories and Numerical Checks
We review here some general properties of antiferromagnetic Heisenberg spin chains, emphasizing and discussing the rôle of hidden symmetries in the classification of the various phases of the models. We presen...
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Article
On \(\mathsf{c = 1}\) critical phases in anisotropic spin-1 chains
Quantum spin-1 chains may develop massless phases in presence of Ising-like and single-ion anisotropies. We have studied c = 1 critical phases by means of both analytical techniques, including a map** of the la...
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Article
Multiparticle continuum in the excitation spectrum of the compound CsNiCl
Recent neutron scattering experiments on CsNiCl3 reveal some features that are not well described by the standard nonlinear σ model, nor by numerical simulations, for isolated S = 1 spin chains. In particular, i...