10 research outputs found
Many-body localization in a disordered quantum Ising chain
Many-body localization occurs in isolated quantum systems when Anderson
localization persists in the presence of finite interactions. Despite strong
evidence for the existence of a many-body localization transition a reliable
extraction of the critical disorder strength is difficult due to a large drift
with system size in the studied quantities. In this work we explore two
entanglement properties that are promising for the study of the manybody
localization transition: the variance of the half-chain entanglement entropy of
exact eigenstates and the long time change in entanglement after a local quench
from an exact eigenstate. We investigate these quantities in a disordered
quantum Ising chain and use them to estimate the critical disorder strength and
its energy dependence. In addition, we analyze a spin-glass transition at large
disorder strength and provide evidence for it being a separate transition. We
thereby give numerical support for a recently proposed phase diagram of
many-body localization with localization protected quantum order [Huse et al.
Phys. Rev. B 88, 014206 (2013)].Comment: 4+ pages + 1.5 pages appendix, 5 figure
Magnetic phase diagram of a spin-1 condensate in two dimensions with dipole interaction
Several new features arise in the ground-state phase diagram of a spin-1
condensate trapped in an optical trap when the magnetic dipole interaction
between the atoms is taken into account along with confinement and spin
precession. The boundaries between the regions of ferromagnetic and polar
phases move as the dipole strength is varied and the ferromagnetic phases can
be modulated. The magnetization of the ferromagnetic phase perpendicular to the
field becomes modulated as a helix winding around the magnetic field direction,
with a wavelength inversely proportional to the dipole strength. This
modulation should be observable for current experimental parameters in
Rb. Hence the much-sought supersolid state, with broken continuous
translation invariance in one direction and broken global U(1) invariance,
occurs generically as a metastable state in this system as a result of dipole
interaction. The ferromagnetic state parallel to the applied magnetic field
becomes striped in a finite system at strong dipolar coupling.Comment: 11 pages, 7 figures;published versio
Bound states and E_8 symmetry effects in perturbed quantum Ising chains
In a recent experiment on CoNb_2O_6, Coldea et al. [Science 327, 177 (2010)]
found for the first time experimental evidence of the exceptional Lie algebra
E_8. The emergence of this symmetry was theoretically predicted long ago for
the transverse quantum Ising chain in the presence of a weak longitudinal
field. We consider an accurate microscopic model of CoNb_2O_6 incorporating
additional couplings and calculate numerically the dynamical structure function
using a recently developed matrix-product-state method. The excitation spectra
show bound states characteristic of the weakly broken E_8 symmetry. We compare
the observed bound state signatures in this model to those found in the
transverse Ising chain in a longitudinal field and to experimental data.Comment: 4 pages, 3 figure
Phase diagram of the anisotropic spin-2 XXZ model: Infinite-system density matrix renormalization group study
We study the ground-state phase diagram of the quantum spin-2 XXZ chain in the presence of on-site anisotropy using a matrix-product state based infinite-system density matrix renormalization group (iDMRG) algorithm. One of the interests in this system is in connecting the highly quantum-mechanical spin-1 phase diagram with the classical S=∞ phase diagram. Several of the recent advances within DMRG make it possible to perform a detailed analysis of the whole phase diagram. We consider different types of on-site anisotropies, which allows us to establish the validity of the following statements: (1) the spin-2 model can be tuned into a phase, which is equivalent to the “topologically nontrivial” spin-1 Haldane phase, and (2) the spin-2 Haldane phase at the isotropic Heisenberg point is adiabatically connected to the “trivial” large-D phase, with a continuous change of the Hamiltonian parameters. Furthermore, we study the spin-3 XXZ chain to help explain the development of the classical phase diagram. We present details on how to use the iDMRG method to map out the phase diagram and include an extensive discussion of the numerical methods