Información del autor
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[...]texto impreso
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[...]texto impreso
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[...]texto impreso
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 [...]texto impreso
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 [...]texto impreso
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 [...]texto impreso
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[...]texto impreso
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[...]texto impreso
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[...]texto impreso
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 [...]texto impreso
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[...]texto impreso
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[...]texto impreso
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 [...]texto impreso
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[...]texto impreso
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[...]texto impreso
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[...]texto impreso
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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[...]texto impreso
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[...]texto impreso
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[...]texto impreso
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[...]texto impreso
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[...]texto impreso
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[...]texto impreso
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[...]texto impreso
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[...]texto impreso
We develop a systematic algorithm for constructing an X-fold supersymmetric system from a given vector space invariant under one of the supercharges. Applying this algorithm to spaces of monomials, we construct a new multiparameter family of Ar-[...]texto impreso
Enciso, Alberto ; Finkel Morgenstern, Federico ; González López, Artemio ; Rodríguez González, Miguel Ángel | Elsevier | 2008-02-01In this paper we study a novel spin chain with nearest-neighbors interactions depending on the sites coordinates, which in some sense is intermediate between the Heisenberg chain and the spin chains of Haldane-Shastry type. We show that when the[...]texto impreso
Finkel Morgenstern, Federico ; González López, Artemio ; Kamran, Niky ; Rodríguez González, Miguel Ángel | American Institute of Physics | 1999-07In this paper we point out a close connection between the Darboux transformation and the group of point transformations which preserve the form of the time-dependent Schroumldinger equation (TDSE). In our main result, we prove that any pair of t[...]texto impreso
Finkel Morgenstern, Federico ; González López, Artemio ; Rodríguez González, Miguel Ángel | IOP publishing ltd | 1999-10-01We show that there are two different families of (weakly) orthogonal polynomials associated to the quasi-exactly solvable Razavy potential V_ (x) = (? cosh 2x?M)^ 2 (? > 0, M ? N). One of these families encompasses the four sets of orthogonal p[...]texto impreso
Finkel Morgenstern, Federico ; Gómez-Ullate Otaiza, David ; González López, Artemio ; Rodríguez González, Miguel Ángel ; Zhdanov, R. | Springer | 2003-02The B-N hyperbolic Sutherland spin model is expressed in terms of a suitable set of commuting Dunkl operators. This fact is exploited to derive a complete family of commuting integrals of motion of the model, thus establishing its integrability.[...]texto impreso
Barba, J. C: ; Finkel Morgenstern, Federico ; González López, Artemio ; Rodríguez González, Miguel Ángel | American Physical Society | 2008-06We compute the partition function of the su(m) Polychronakos-Frahm spin chain of BC_N type by means of the freezing trick. We use this partition function to study several statistical properties of the spectrum, which turn out to be analogous to [...]texto impreso
Finkel Morgenstern, Federico ; González López, Artemio ; Rodríguez González, Miguel Ángel | IOP publishing ltd | 1997-10-07In this paper, we study Lie superalgebras of 2 x 2 matrix-valued first-order differential operators on the complex line. We first completely classify all such superalgebras of finite dimension. Among the finite-dimensional superalgebras whose od[...]texto impreso
Álvarez Galindo, Gabriel ; Finkel Morgenstern, Federico ; González López, Artemio ; Rodríguez González, Miguel Ángel | IOP Publishing | 2002-10-18We study a large class of models with an arbitrary (finite) number of degrees of freedom, described by Hamiltonians which are polynomial in bosonic creation and annihilation operators, and including as particular cases nth harmonic generation an[...]texto impreso
Enciso, Alberto ; Finkel Morgenstern, Federico ; González López, Artemio ; Rodríguez González, Miguel Ángel | Institute of Mathematics of National Academy of Science of Ukraine | 2006-11-03We review some recent results on quasi-exactly solvable spin models presenting near-neighbors interactions. These systems can be understood as cyclic generalizations of the usual Calogero-Sutherland models. A nontrivial modification of the excha[...]texto impreso
Finkel Morgenstern, Federico ; González López, Artemio ; Rodríguez González, Miguel Ángel | American Institute of Physics | 1996-08In this paper we show that a quasi-exactly solvable (normalizable or periodic) one-dimensional Hamiltonian satisfying very mild conditions defines a family of weakly orthogonal polynomials which obey a three-term recursion relation. in particula[...]texto impreso
Finkel Morgenstern, Federico ; González López, Artemio ; Rodríguez González, Miguel Ángel | American Institute of Physics | 1997-06The algebraic structures underlying quasi-exact solvability for spin 1/2 Hamiltonians in one dimension are studied in detail. Necessary and sufficient conditions for a matrix second-order differential operator preserving a space of wave function[...]texto impreso
We first establish some general results connecting real and complex Lie algebras ofirst-order diferential operators. These are applied to completely classify all finite-dimensional real Lie algebras of first-order diferential operators in R^2 .[...]texto impreso
Enciso, A. ; Finkel Morgenstern, Federico ; González López, Artemio ; Rodríguez González, Miguel Ángel | Elsevier Science BV | 2005-01-06We construct new solvable rational and trigonometric spin models with near-neighbors interactions by an extension of the Dunkl operator formalism. In the trigonometric case we obtain a finite number of energy levels in the center of mass frame, [...]texto impreso
Finkel Morgenstern, Federico ; González López, Artemio ; López Maroto, Antonio ; Rodríguez, M.A. | American Institute of Physics | 2001The most general inflaton potential in Minkowski spacetime for which the differential equation for the Fourier modes of the matter fields reduces to Lame's equation is shown to be of the form V(?) = ? ? ^(4) /4 + K ?^( )2 /2 + ?/(2 ?^( 2) ) + V_[...]texto impreso
Enciso, Alberto ; Finkel Morgenstern, Federico ; González López, Artemio | American Physical Society | 2009-06We show that the density of energy levels of a wide class of finite-dimensional quantum systems tends to a Gaussian distribution as the number of degrees of freedom increases. Our result is based on a variant of the central limit theorem which i[...]texto impreso
Carrasco, José A. ; Finkel Morgenstern, Federico ; González López, Artemio ; Rodríguez, Miguel A. | American Physical Society | 2017-01-17We study the critical behavior and the ground-state entanglement of a large class of su(1|1) supersymmetric spin chains with a general (not necessarily monotonic) dispersion relation. We show that this class includes several relevant models, wit[...]texto impreso
By an application of the geometrical techniques of Lie, Cohen, and Dickson it is shown that a system of differential equations of the form [x^(r_i)]_i = F_i; (where r_i > 1 for every i = 1 , ... ,n) cannot admit an infinite number of pointlike [...]texto impreso
By an application of the geometrical techniques of Lie, Cohen, and Dickson it is shown that a system of differential equations of the form [x^(r_i)]_i = F_i(where r_i > 1 for every i = 1 , ... ,n) cannot admit an infinite number of pointlike sy[...]texto impreso
Barba, J. C. ; Finkel Morgenstern, Federico ; González López, Artemio ; Rodríguez González, Miguel Ángel | EPL Association, European Physical Society | 2008-07According to a long-standing conjecture of Berry and Tabor, the distribution of the spacings between consecutive levels of a "generic" integrable model should follow Poisson's law. In contrast, the spacings distribution of chaotic systems typica[...]texto impreso
We compute the spectrum of the su(m) spin Sutherland model of B-N type, including the exact degeneracy of all energy levels. By studying the large coupling constant limit of this model and of its scalar counterpart, we evaluate the partition fun[...]texto impreso
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Finkel Morgenstern, Federico ; González López, Artemio ; López Maroto, Antonio ; Rodríguez González, Miguel Ángel | American Physical Society | 2000-10-17We show that the most general inflaton potential in Minkowski spacetime for which the differential equation for the Fourier modes of the matter fields reduces to Lame's equation is of the form V(phi)=lambda phi^4/4+Kphi^2/2+mu/(2 phi^2)+V_0. As [...]texto impreso
A generalization of the classical one-dimensional Darboux transformation to arbitrary n- dimensional oriented Riemannian manifolds is constructed using an intrinsic formulation based on the properties of twisted Hodge Laplacians. The classical t[...]texto impreso
In this paper we study the su(m) spin Sutherland (trigonometric) model of D-N type and its related spin chain of Haldane-Shastry type obtained by means of Polychronakos's freezing trick. As in the rational case recently studied by the authors, w[...]texto impreso
Finkel Morgenstern, Federico ; González López, Artemio ; León Yebra, Carlos ; Rodríguez González, Miguel Ángel | IOP Publishing | 2018-04We study the thermodynamics and critical behavior of su(m|n) supersymmetric spin chains of Haldane-Shastry type with a chemical potential term. We obtain a closed-form expression for the partition function and deduce a description of the spectru[...]texto impreso
Enciso, Alberto ; Finkel Morgenstern, Federico ; González López, Artemio | Elsevier Masson | 2012-11We study the thermodynamic properties of spin chains of Haldane-Shastry type associated with the A(N-1) root system in the presence of a uniform external magnetic field. To this end, we exactly compute the partition function of these models for [...]