202 research outputs found
Quadratic operators used in deducing exact ground states for correlated systems: ferromagnetism at half filling provided by a dispersive band
Quadratic operators are used in transforming the model Hamiltonian (H) of one
correlated and dispersive band in an unique positive semidefinite form coopting
both the kinetic and interacting part of H. The expression is used in deducing
exact ground states which are minimum energy eigenstates only of the full
Hamiltonian. It is shown in this frame that at half filling, also dispersive
bands can provide ferromagnetism in exact terms by correlation effects .Comment: 7 page
A new family of matrix product states with Dzyaloshinski-Moriya interactions
We define a new family of matrix product states which are exact ground states
of spin 1/2 Hamiltonians on one dimensional lattices. This class of
Hamiltonians contain both Heisenberg and Dzyaloshinskii-Moriya interactions but
at specified and not arbitrary couplings. We also compute in closed forms the
one and two-point functions and the explicit form of the ground state. The
degeneracy structure of the ground state is also discussed.Comment: 15 pages, 1 figur
Introduction to Quantum Integrability
In this article we review the basic concepts regarding quantum integrability.
Special emphasis is given on the algebraic content of integrable models. The
associated algebras are essentially described by the Yang-Baxter and boundary
Yang-Baxter equations depending on the choice of boundary conditions. The
relation between the aforementioned equations and the braid group is briefly
discussed. A short review on quantum groups as well as the quantum inverse
scattering method (algebraic Bethe ansatz) is also presented.Comment: 56 pages, Latex. A few typos correcte
Implementation of Spin Hamiltonians in Optical Lattices
We propose an optical lattice setup to investigate spin chains and ladders.
Electric and magnetic fields allow us to vary at will the coupling constants,
producing a variety of quantum phases including the Haldane phase, critical
phases, quantum dimers etc. Numerical simulations are presented showing how
ground states can be prepared adiabatically. We also propose ways to measure a
number of observables, like energy gap, staggered magnetization, end-chain
spins effects, spin correlations and the string order parameter
Nonlinear integral equations for finite volume excited state energies of the O(3) and O(4) nonlinear sigma-models
We propose nonlinear integral equations for the finite volume one-particle
energies in the O(3) and O(4) nonlinear sigma-models. The equations are written
in terms of a finite number of components and are therefore easier to solve
numerically than the infinite component excited state TBA equations proposed
earlier. Results of numerical calculations based on the nonlinear integral
equations and the excited state TBA equations agree within numerical precision.Comment: numerical results adde
Non-diagonal reflection for the non-critical XXZ model
The most general physical boundary -matrix for the open XXZ spin chain in
the non-critical regime () is derived starting from the bare
Bethe ansazt equations. The boundary -matrix as expected is expressed in
terms of -functions. In the isotropic limit corresponding results for
the open XXX chain are also reproduced.Comment: 8 pages Late
Exactly solvable two-dimensional quantum spin models
A method is proposed for constructing an exact ground-state wave function of
a two-dimensional model with spin 1/2. The basis of the method is to represent
the wave function by a product of fourth-rank spinors associated with the sites
of a lattice and the metric spinors corresponding to bonds between nearest
neighbor sites. The function so constructed is an exact wave function of a
14-parameter model. The special case of this model depending on one parameter
is analyzed in detail. The ground state is always a nondegenerate singlet, and
the spin correlation functions decay exponentially with distance. The method
can be generalized for models with spin 1/2 to other types of lattices.Comment: 15 pages, 9 figures, Revte
Clinical aspects of incorporating cord clamping into stabilisation of preterm infants
Fetal to neonatal transition is characterised by major pulmonary and haemodynamic changes occurring in a short period of time. In the international neonatal resuscitation guidelines, comprehensive recommendations are available on supporting pulmonary transition and delaying clamping of the cord in preterm infants. Recent experimental studies demonstrated that the pulmonary and haemodynamic transition are intimately linked, could influence each other and that the timing of umbilical cord clamping should be incorporated into the respiratory stabilisation. We reviewed the current knowledge on how to incorporate cord clamping into stabilisation of preterm infants and the physiological-based cord clamping (PBCC) approach, with the infant's transitional status as key determinant of timing of cord clamping. This approach could result in optimal timing of cord clamping and has the potential to reduce major morbidities and mortality in preterm infants
Exact ground states for a class of one-dimensional frustrated quantum spin models
We have found the exact ground state for two frustrated quantum spin-1/2
models on a linear chain. The first model describes ferromagnet-
antiferromagnet transition point. The singlet state at this point has
double-spiral ordering. The second model is equivalent to special case of the
spin-1/2 ladder. It has non-degenerate singlet ground state with exponentially
decaying spin correlations and there is an energy gap. The exact ground state
wave function of these models is presented in a special recurrent form and
recurrence technics of expectation value calculations is developed.Comment: 16 pages, 3 figures, RevTe
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