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Autor González López, Artemio |
Documentos disponibles escritos por este autor (51)
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Barba, J. C: ; Finkel Morgenstern, Federico ; González López, Artemio ; Rodríguez González, Miguel Ángel | American Physical Society | 2009-10In this paper, we show that there is a family of well-known integrable systems whose spectral fluctuations decay as 1/ f^ 4, and thus do not follow the 1/ f ^2 law recently conjectured for integrable systems. We present a simple theoretical just[...]![]()
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Barba, J. C: ; Finkel Morgenstern, Federico ; González López, Artemio ; Rodríguez González, Miguel Ángel | Elsevier | 2009-01-11We construct a new exactly solvable supersymmetric spin chain related to the BC_N extended root system, which includes as a particular case the BC_N version of the Polychronakos-Frahm spin chain. We also introduce a supersymmetric spin dynamical[...]![]()
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Carrasco, José A. ; Finkel Morgenstern, Federico ; González López, Artemio ; Rodríguez González, Miguel Ángel ; Tempesta, Piergiulio | American Physical Society | 2016-07-01We introduce a general class of su(1 / 1) supersymmetric spin chains with long-range interactions which includes as particular cases the su (1 / 1) Inozemtsev (elliptic) and Haldane-Shastry chains, as well as the XX model. We show that this clas[...]![]()
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Carrasco, José A. ; Finkel Morgenstern, Federico ; González López, Artemio ; Rodríguez González, Miguel Ángel ; Tempesta, Piergiulio | American Physical Society | 2016-06-01We introduce a general class of su(1|1) supersymmetric spin chains with long-range interactions which includes as particular cases the su(1|1) Inozemtsev (elliptic) and Haldane-Shastry chains, as well as the XX model. We show that this class of [...]![]()
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Carrasco, J. A. ; Finkel Morgenstern, Federico ; González López, Artemio ; Tempesta, Piergiulio | Nature Publishing Group | 2017-09-11The analysis of the entanglement entropy of a subsystem of a one-dimensional quantum system is a powerful tool for unravelling its critical nature. For instance, the scaling behaviour of the entanglement entropy determines the central charge of [...]![]()
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We solve in closed form the simplest (su(1 vertical bar 1)) supersymmetric version of Inozemtsev's elliptic spin chain, as well as its infinite (hyperbolic) counterpart. The solution relies on the equivalence of these models to a system of free [...]![]()
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Gómez-Ullate Otaiza, David ; González López, Artemio ; Rodríguez González, Miguel Ángel | Elsevier Science BV | 2001-05-28A quantum Hamiltonian describing N particles on a line interacting pairwise via an elliptic function potential in the presence of an external field is introduced. For a discrete set of values of the strength of the external potential, it is show[...]![]()
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We derive the spectra of the D-N-type Calogero (rational) su(m) spin model, including the degeneracy factors of all energy levels. By taking the strong coupling limit of this model, in which its spin and dynamical degrees of freedom decouple, we[...]![]()
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Enciso, Alberto ; Finkel Morgenstern, Federico ; González López, Artemio ; Rodríguez González, Miguel Ángel | IOP publishing ltd | 2007-02-23We present a detailed analysis of the spin models with near-neighbours interactions constructed in our previous paper (Enciso et al 2005 Phys. Lett. B 605 214) by a suitable generalization of the exchange operator formalism. We provide a complet[...]![]()
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Carrasco, José A. ; Finkel Morgenstern, Federico ; González López, Artemio ; Rodríguez González, Miguel Ángel ; Tempesta, Piergiulio | IOP Publishing | 2016-03We introduce a new class of generalized isotropic Lipkin–Meshkov–Glick models with su(m+1) spin and long-range non-constant interactions, whose non-degenerate ground state is a Dicke state of su(m+1) type. We evaluate in closed form the reduced [...]![]()
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We derive an exact expression for the partition function of the su(m) Haldane-Shastry spin chain, which we use to study the density of levels and the distribution of the spacing between consecutive levels. Our computations show that when the num[...]![]()
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Enciso, Alberto ; Finkel Morgenstern, Federico ; González López, Artemio ; Rodríguez González, Miguel Ángel | Atlantis Press | 2005-01We compute the spectrum of the trigonometric Sutherland spin model of BCN type in the presence of a constant magnetic field. Using Polychronakos's freezing trick, we derive an exact formula for the partition function of its associated Haldane-Sh[...]![]()
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Enciso, Alberto ; Finkel Morgenstern, Federico ; González López, Artemio ; Rodríguez González, Miguel Ángel | Elsevier | 2005-02-21We introduce four types of SU(2M + 1) spin chains which can be regarded as the BCN versions of the celebrated Haldane-Shastry chain. These chains depend on two free parameters and, unlike the original Haldane-Shastry chain, their sites need not [...]![]()
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Barba, J. C: ; Finkel Morgenstern, Federico ; González López, Artemio ; Rodríguez González, Miguel Ángel | Elsevier | 2010-11-11In this paper we study Inozemtsev's su(m) quantum spin model with hyperbolic interactions and the associated spin chain of Haldane-Shastry type introduced by Frahm and Inozemtsev. We compute the spectrum of Inozemtsev's model, and use this resul[...]![]()
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González López, Artemio ; Hernández Heredero, Rafael ; Beffa, Gloria Marí | American Institute of Physics | 1997-11In this paper we find an explicit formula for the most general vector evolution of curves on RPn?1 invariant under the projective action of SL(n, R). When this formula is applied to the projectivization of solution curves of scalar Lax operators[...]![]()
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Enciso, Alberto ; Finkel Morgenstern, Federico ; González López, Artemio | American Physical Society | 2010-11-15We provide a rigorous proof of the fact that the level density of all known su (m) spin chains of Haldane-Shastry type associated with the A(N-1) root system approaches a Gaussian distribution as the number of spins N tends to infinity. Our appr[...]![]()
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Finkel Morgenstern, Federico ; Gómez-Ullate Otaiza, David ; González López, Artemio ; Rodríguez González, Miguel Ángel | Springer | 2001-08A new family of AN-type Dunkl operators preserving a polynomial subspace of finite dimension is constructed. Using a general quadratic combination of these operators and the usual Dunkl operators, several new families of exactly and quasi-exactl[...]![]()
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Gómez-Ullate Otaiza, David ; González López, Artemio ; Rodríguez González, Miguel Ángel | IOP Publishing | 2000-10-20We develop a systematic procedure for constructing quantum many-body problems whose spectrum can be partially or totally computed by purely algebraic means. The exactly solvable models include rational and hyperbolic potentials related to root s[...]![]()
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Finkel Morgenstern, Federico ; González López, Artemio ; Rodríguez González, Miguel Ángel | IOP Publishing | 2000-03-03We develop a new way of writing the Lame Hamiltonian in Lie-algebraic form. This yields, in a natural way, an explicit formula for both the Lame polynomials and the classical non-meromorphic Lame functions in terms of Chebyshev polynomials and o[...]![]()
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We construct a new family of N -fold supersymmetric systems which is referred to as “type B”. A higher-derivative representation of the N -fold supercharge for this new family is given by a deformation of the type A N -fold supercharge. By utili[...]![]()
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Finkel Morgenstern, Federico ; González López, Artemio | Academic Press Inc Elsevier Science | 2014-12The aim of this paper is studying from an alternative point of view the integrability of the spin chain with long-range elliptic interactions introduced by Inozemtsev. Our analysis relies on some well-established conjectures characterizing the c[...]![]()
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Quasi-exactly solvable Schrodinger operators have the remarkable property that a part of their spectrum can be computed by algebraic methods. Such operators lie in the enveloping algebra of a finite-dimensional Lie algebra of first order differe[...]![]()
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Finkel Morgenstern, Federico ; Gómez-Ullate Otaiza, David ; González López, Artemio ; Rodríguez González, Miguel Ángel | Elsevier | 2001-10-15We construct several new families of exactly and quasi-exactly solvable BCN-type Calogero-Sutherland models with internal degrees of freedom. Our approach is based on the introduction of a new family of Dunkl operators of B-N type which, togethe[...]![]()
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We recall the importance of recognizing the different mathematical nature of various concepts relating to PT -symmetric quantum theories. After clarifying the relation between supersymmetry and pseudo-supersymmetry, we prove generically that non[...]