2,087 research outputs found
Dimerized ground states in spin-S frustrated systems
We study a family of frustrated anti-ferromagnetic spin- systems with a
fully dimerized ground state. This state can be exactly obtained without the
need to include any additional three-body interaction in the model. The
simplest members of the family can be used as a building block to generate more
complex geometries like spin tubes with a fully dimerized ground state. After
present some numerical results about the phase diagram of these systems, we
show that the ground state is robust against the inclusion of weak disorder in
the couplings as well as several kinds of perturbations, allowing to study some
other interesting models as a perturbative expansion of the exact one. A
discussion on how to determine the dimerization region in terms of quantum
information estimators is also presented. Finally, we explore the relation of
these results with a the case of the a 4-leg spin tube which recently was
proposed as the model for the description of the compound
CuClDCSO, delimiting the region of the parameter space
where this model presents dimerization in its ground state.Comment: 10 pages, 9 figure
Phase diagram study of a dimerized spin-S zig-zag ladder
The phase diagram of a frustrated spin- zig-zag ladder is studied through
different numerical and analytical methods. We show that for arbitrary ,
there is a family of Hamiltonians for which a fully-dimerized state is an exact
ground state, being the Majumdar-Ghosh point a particular member of the family.
We show that the system presents a transition between a dimerized phase to a
N\'eel-like phase for , and spiral phases can appear for large . The
phase diagram is characterized by means of a generalization of the usual Mean
Field Approximation (MFA). The novelty in the present implementation is to
consider the strongest coupled sites as the unit cell. The gap and the
excitation spectrum is analyzed through the Random Phase Approximation (RPA).
Also, a perturbative treatment to obtain the critical points is discussed.
Comparisons of the results with numerical methods like DMRG are also presented.Comment: 14 pages, 6 figures. Some typos were corrected, and notation was
clarifie
Kinetic-theory description of isoscalar dipole modes
A semiclassical model, based on a solution of the Vlasov equation for finite
systems with moving-surface, is employed to study the isoscalar dipole modes in
nuclei. It is shown that, by taking into account the surface degree of freedom,
it is possible to obtain an exact treatment of the centre of mass motion. It is
also shown that a method often used to subtract the spurious strength in RPA
calculations does not always give the correct result. An alternative analytical
formula for the intrinsic strength function is derived in a simple
confined-Fermi-gas model. In this model the intrinsic isoscalar dipole strength
displays essentially a two-resonance structure, hence there are two relevant
modes. The interaction between nucleons couples these two modes and changes the
compressibility of the system. The evolution of the strength profile is then
studied as a function of the compressibility of the nuclear fluid. Comparison
with available data favours values of the incompressibility parameter of
nuclear matter smaller than those suggested by the analysis of the monopole
``breathing'' mode.Comment: 17 pages, 4 figures, revised version to be published in Nucl. Phys.
Unified semiclassical approach to isoscalar collective modes in heavy nuclei
A semiclassical model based on the solution of the Vlasov equation for finite
systems with a sharp moving surface has been used to study the isoscalar
quadrupole and octupole collective modes in heavy spherical nuclei. Within this
model, a unified description of both low-energy surface modes and higher-energy
giant resonances has been achieved by introducing a coupling between surface
vibrations and the motion of single nucleons. Analytical expressions for the
collective response functions of different multipolarity can be derived by
using a separable approximation for the residual interaction between nucleons.
The response functions obtained in this way give a good qualitative description
of the quadrupole and octupole response in heavy nuclei. Although shell effects
are not explicitly included in the theory, our semiclassical response functions
are very similar to the quantum ones. This happens because of the well known
close relation between classical trajectories and shell structure. The role
played by particular nucleon trajectories and their connection with various
features of the nuclear response is displayed most clearly in the present
approach, we discuss in some detail the damping of low-energy octupole
vibrations and give an explicit expression showing that only nucleons moving on
triangular orbits can contribute to this damping.Comment: 9 pages, 2 figures, Talk presented at the 8th International Spring
Seminar on Nuclear Physics on Key Topics in Nuclear Structure, Paestum,
Italy, May 23-27, 200
Generalized mean field description of entanglement in dimerized spin systems
We discuss a generalized self-consistent mean field (MF) treatment, based on
the selection of an arbitrary subset of operators for representing the system
density matrix, and its application to the problem of entanglement evaluation
in composite quantum systems. As a specific example, we examine in detail a
pair MF approach to the ground state (GS) of dimerized spin 1/2 systems with
anisotropic ferromagnetic-type XY and XYZ couplings in a transverse field,
including chains and arrays with first neighbor and also longer range
couplings. The approach is fully analytic and able to capture the main features
of the GS of these systems, in contrast with the conventional single spin MF.
Its phase diagram differs significantly from that of the latter, exhibiting
(Sz) parity breaking just in a finite field window if the coupling between
pairs is sufficiently weak, together with a fully dimerized phase below this
window and a partially aligned phase above it. It is then shown that through
symmetry restoration, the approach is able to correctly predict not only the
concurrence of a pair, but also its entanglement with the rest of the chain,
which shows a pronounced peak in the parity breaking window. Perturbative
corrections allow to reproduce more subtle observables like the entanglement
between weakly coupled spins and the low lying energy spectrum. All predictions
are tested against exact results for finite systems.Comment: 13 pages, 9 figures. Final versio
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Factorization and entanglement in general XYZ spin arrays in non-uniform transverse fields
We determine the conditions for the existence of a pair of degenerate parity
breaking separable eigenstates in general arrays of arbitrary spins connected
through couplings of arbitrary range and placed in a transverse field,
not necessarily uniform. Sufficient conditions under which they are ground
states are also provided. It is then shown that in finite chains, the
associated definite parity states, which represent the actual ground state in
the immediate vicinity of separability, can exhibit entanglement between any
two spins regardless of the coupling range or separation, with the reduced
state of any two subsystems equivalent to that of pair of qubits in an
entangled mixed state. The corresponding concurrences and negativities are
exactly determined. The same properties persist in the mixture of both definite
parity states. These effects become specially relevant in systems close to the
limit. The possibility of field induced alternating separable solutions
with controllable entanglement side limits is also discussed. Illustrative
numerical results for the negativity between the first and the
spin in an open spin chain for different values of and are as well
provided.Comment: 6 pages, figures adde
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