1,593 research outputs found
Determination of ground state properties in quantum spin systems by single qubit unitary operations and entanglement excitation energies
We introduce a method for analyzing ground state properties of quantum many
body systems, based on the characterization of separability and entanglement by
single subsystem unitary operations. We apply the method to the study of the
ground state structure of several interacting spin-1/2 models, described by
Hamiltonians with different degrees of symmetry. We show that the approach
based on single qubit unitary operations allows to introduce {\it
``entanglement excitation energies''}, a set of observables that can
characterize ground state properties, including the quantification of
single-site entanglement and the determination of quantum critical points. The
formalism allows to identify the existence and location of factorization
points, and a purely quantum {\it ``transition of entanglement''} that occurs
at the approach of factorization. This kind of quantum transition is
characterized by a diverging ratio of excitation energies associated to
single-qubit unitary operations.Comment: To appear in Phys. Rev.
Quantum many particle systems in ring-shaped optical lattices
In the present work we demonstrate how to realize 1d-optical closed lattice
experimentally, including a {\it tunable} boundary phase-twist. The latter may
induce ``persistent currents'', visible by studing the atoms' momentum
distribution. We show how important phenomena in 1d-physics can be studied by
physical realization of systems of trapped atoms in ring-shaped optical
lattices. A mixture of bosonic and/or fermionic atoms can be loaded into the
lattice, realizing a generic quantum system of many interacting particles.Comment: 10 pages, 5 figures. To be published in PR
Quantum phase transitions in the Kondo-necklace model: Perturbative continuous unitary transformation approach
The Kondo-necklace model can describe magnetic low-energy limit of strongly
correlated heavy fermion materials. There exist multiple energy scales in this
model corresponding to each phase of the system. Here, we study quantum phase
transition between the Kondo-singlet phase and the antiferromagnetic long-range
ordered phase, and show the effect of anisotropies in terms of quantum
information properties and vanishing energy gap. We employ the "perturbative
continuous unitary transformations" approach to calculate the energy gap and
spin-spin correlations for the model in the thermodynamic limit of one, two,
and three spatial dimensions as well as for spin ladders. In particular, we
show that the method, although being perturbative, can predict the expected
quantum critical point, where the gap of low-energy spectrum vanishes, which is
in good agreement with results of other numerical and Green's function
analyses. In addition, we employ concurrence, a bipartite entanglement measure,
to study the criticality of the model. Absence of singularities in the
derivative of concurrence in two and three dimensions in the Kondo-necklace
model shows that this model features multipartite entanglement. We also discuss
crossover from the one-dimensional to the two-dimensional model via the ladder
structure.Comment: 12 pages, 6 figure
Statistical mechanics of the Cluster-Ising model
We study a Hamiltonian system describing a three-spin-1/2 cluster-like
interaction competing with an Ising-like anti-ferromagnetic interaction. We
compute free energy, spin correlation functions and entanglement both in the
ground and in thermal states. The model undergoes a quantum phase transition
between an Ising phase with a nonvanishing magnetization and a cluster phase
characterized by a string order. Any two-spin entanglement is found to vanish
in both quantum phases because of a nontrivial correlation pattern.
Neverthless, the residual multipartite entanglement is maximal in the cluster
phase and dependent on the magnetization in the Ising phase. We study the block
entropy at the critical point and calculate the central charge of the system,
showing that the criticality of the system is beyond the Ising universality
class.Comment: To be published in Physical Review
Out of equilibrium correlation functions of quantum anisotropic XY models: one-particle excitations
We calculate exactly matrix elements between states that are not eigenstates
of the quantum XY model for general anisotropy. Such quantities therefore
describe non equilibrium properties of the system; the Hamiltonian does not
contain any time dependence. These matrix elements are expressed as a sum of
Pfaffians. For single particle excitations on the ground state the Pfaffians in
the sum simplify to determinants.Comment: 11 pages, no figures; revtex. Minor changes in the text; list of
refs. modifie
Bethe Ansatz solution of a new class of Hubbard-type models
We define one-dimensional particles with generalized exchange statistics. The
exact solution of a Hubbard-type Hamiltonian constructed with such particles is
achieved using the Coordinate Bethe Ansatz. The chosen deformation of the
statistics is equivalent to the presence of a magnetic field produced by the
particles themselves, which is present also in a ``free gas'' of these
particles.Comment: 4 pages, revtex. Essentially modified versio
Bose-Einstein condensation and entanglement in magnetic systems
We present a study of magnetic field induced quantum phase transitions in
insulating systems. A generalized scaling theory is used to obtain the
temperature dependence of several physical quantities along the quantum
critical trajectory (, ) where is a longitudinal external
magnetic field and the critical value at which the transition occurs.
We consider transitions from a spin liquid at a critical field and
from a fully polarized paramagnet, at , into phases with long range
order in the transverse components. The transitions at and
can be viewed as Bose-Einstein condensations of magnons which however belong to
different universality classes since they have different values of the dynamic
critical exponent . Finally, we use that the magnetic susceptibility is an
entanglement witness to discuss how this type of correlation sets in as the
system approaches the quantum critical point along the critical trajectory,
, .Comment: 7 pages, 1 Table; accepted version; changes in text and new
reference
Mixed Early and Late-Type Properties in the Bar of NGC 6221: Evidence for Evolution along the Hubble Sequence?
Rotation curves and velocity dispersion profiles are presented for both the
stellar and gaseous components along five different position angles (P.A.=5,
50, 95, 125 and 155 degrees) of the nearby barred spiral NGC 6221. The observed
kinematics extends out to about 80" from the nucleus. Narrow and broad-band
imaging is also presented. The radial profiles of the fluxes ratio [NII]/Halpha
reveal the presence of a ring-like structure of ionized gas, with a radius of
about 9" and a deprojected circular velocity of about 280 km/s. The analysis of
the dynamics of the bar indicates this ring is related to the presence of an
inner Lindblad resonance (ILR) at 1.3 kpc. NGC6221 is found to exhibit
intermediate properties between those of the early-type barred galaxies: the
presence of a gaseous ring at an ILR, the bar edge located between the ILR's
and the corotation radius beyond the steep rising portion of the rotation
curve, the dust-lane pattern, and those of the late-type galaxies: an almost
exponential surface brightness profile, the presence of Halpha regions along
all the bar, the spiral-arm pattern. It is consistent with scenarios of
bar-induced evolution from later to earlier-type galaxies.Comment: 1 File ds7406.tar.gz which contains: one latex file (ds7406.tex), and
10 encsulated postscript figures (ds7406f**.eps). To be compiled with aa-l
latex2e macro style. To be published in A&A Sup. Serie
Extracting Lyapunov exponents from the echo dynamics of Bose-Einstein condensates on a lattice
We propose theoretically an experimentally realizable method to demonstrate
the Lyapunov instability and to extract the value of the largest Lyapunov
exponent for a chaotic many-particle interacting system. The proposal focuses
specifically on a lattice of coupled Bose-Einstein condensates in the classical
regime describable by the discrete Gross-Pitaevskii equation. We suggest to use
imperfect time-reversal of system's dynamics known as Loschmidt echo, which can
be realized experimentally by reversing the sign of the Hamiltonian of the
system. The routine involves tracking and then subtracting the noise of
virtually any observable quantity before and after the time-reversal. We
support the theoretical analysis by direct numerical simulations demonstrating
that the largest Lyapunov exponent can indeed be extracted from the Loschmidt
echo routine. We also discuss possible values of experimental parameters
required for implementing this proposal
Entanglement crossover close to a quantum critical point
We discuss the thermal entanglement close to a quantum phase transition by
analyzing the concurrence for one dimensional models in the quantum Ising
universality class. We demonstrate that the entanglement sensitivity to thermal
and to quantum fluctuations obeys universal --scaling behaviour. We
show that the entanglement, together with its criticality, exhibits a peculiar
universal crossover behaviour.Comment: 12 pages; 5 figures (eps). References added; to be published in
Europhysics Letter
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