485 research outputs found
Black holes as mirrors: quantum information in random subsystems
We study information retrieval from evaporating black holes, assuming that
the internal dynamics of a black hole is unitary and rapidly mixing, and
assuming that the retriever has unlimited control over the emitted Hawking
radiation. If the evaporation of the black hole has already proceeded past the
"half-way" point, where half of the initial entropy has been radiated away,
then additional quantum information deposited in the black hole is revealed in
the Hawking radiation very rapidly. Information deposited prior to the half-way
point remains concealed until the half-way point, and then emerges quickly.
These conclusions hold because typical local quantum circuits are efficient
encoders for quantum error-correcting codes that nearly achieve the capacity of
the quantum erasure channel. Our estimate of a black hole's information
retention time, based on speculative dynamical assumptions, is just barely
compatible with the black hole complementarity hypothesis.Comment: 18 pages, 2 figures. (v2): discussion of decoding complexity
clarifie
Modulated spin and charge densities in cuprate superconductors
Neutron scattering experiments have played a crucial role in characterizing
the spin and charge correlations in copper-oxide superconductors. While the
data are often interpreted with respect to specific theories of the cuprates,
an attempt is made here to distinguish those facts that can be extracted
empirically, and the connections that can be made with minimal assumptions.Comment: 6 pp., LaTeX, 2 col., uses espcrc2.sty + psfig.sty, 2 eps figures;
Proc. of the International Conf. on Neutron Scattering, Toronto, Aug. 1997,
to be published in Physica
Spin dynamics in stripe-ordered La5/3Sr1/3NiO4
Polarized and unpolarized neutron inelastic scattering has been used to
measure the spin excitations in the spin-charge-ordered stripe phase of
La5/3Sr1/3NiO4. At high energies, sharp magnetic modes are observed
characteristic of a static stripe lattice. The energy spectrum is described
well by a linear spin wave model with intra- and inter-stripe exchange
interactions between neighbouring Ni spins given by J = 15 +/- 1.5 meV and J' =
7.5 +/- 1.5 meV respectively. A pronounced broadening of the magnetic
fluctuations in a band between 10 meV and 25 meV is suggestive of coupling to
collective motions of the stripe domain walls.Comment: ReVTeX 4, 4 pages inc. 4 Fig
Charge Stripes and Antiferromagnetism in Insulating Nickelates and Superconducting Cuprates
Neutron and X-ray scattering studies have provided strong evidence for
coupled spatial modulations of charge and spin densities in layered nickelates
and cuprates. The accumulated results for La(2-x)Sr(x)NiO(4+d) are consistent
with the strongly-modulated topological-stripe concept. Clues from Nd-doped
La(2-x)Sr(x)CuO(4) suggest similar behavior for the cuprates. The experimental
results are summarized, and features that conflict with an interpretation based
on a Fermi-surface instability are emphasized. A rationalization for the
differences in transport properties between the cuprates and nickelates is
given.Comment: 10pp., uses elsart.sty, 3 eps figures embedded with psfig; for
proceedings of Spectroscopies in Novel Superconductors '97, J. Phys. Chem.
Solid
Magnetic Coherence in Cuprate Superconductors
Recent inelastic neutron scattering (INS) experiments on
LaSrCuO observed a {\it magnetic coherence effect}, i.e.,
strong frequency and momentum dependent changes of the spin susceptibility,
, in the superconducting phase. We show that this effect is a direct
consequence of changes in the damping of incommensurate antiferromagnetic spin
fluctuations due to the appearance of a d-wave gap in the fermionic spectrum.
Our theoretical results provide a quantitative explanation for the weak
momentum dependence of the observed spin-gap. Moreover, we predict {\bf (a)} a
Fermi surface in LaSrCuO which is closed around up
to optimal doping, and {\bf (b)} similar changes in for all cuprates
with an incommensurate magnetic response.Comment: 5 pages, 4 figures, Fig.3 is in colo
Stability of homogeneous magnetic phases in a generalized t-J model
We study the stability of homogeneous magnetic phases in a generalized t-J
model including a same-sublattice hopping t' and nearest-neighbor repulsion V
by means of the slave fermion-Schwinger boson representation of spin operators.
At mean-field order we find, in agreement with other authors, that the
inclusion of further-neighbor hopping and Coulomb repulsion makes the
compressibility positive, thereby stabilizing at this level the spiral and Neel
orders against phase separation. However, the consideration of Gaussian
fluctuation of order parameters around these mean-field solutions produces
unstable modes in the dynamical matrix for all relevant parameter values,
leaving only reduced stability regions for the Neel phase. We have computed the
one-loop corrections to the energy in these regions, and have also briefly
considered the effects of the correlated hopping term that is obtained in the
reduction from the Hubbard to the t-J model.Comment: 5 pages, 5 figures, Revte
Brownian motion in AdS/CFT
We study Brownian motion and the associated Langevin equation in AdS/CFT. The
Brownian particle is realized in the bulk spacetime as a probe fundamental
string in an asymptotically AdS black hole background, stretching between the
AdS boundary and the horizon. The modes on the string are excited by the
thermal black hole environment and consequently the string endpoint at the
boundary undergoes an erratic motion, which is identified with an external
quark in the boundary CFT exhibiting Brownian motion. Semiclassically, the
modes on the string are thermally excited due to Hawking radiation, which
translates into the random force appearing in the boundary Langevin equation,
while the friction in the Langevin equation corresponds to the excitation on
the string being absorbed by the black hole. We give a bulk proof of the
fluctuation-dissipation theorem relating the random force and friction. This
work can be regarded as a step toward understanding the quantum microphysics
underlying the fluid-gravity correspondence. We also initiate a study of the
properties of the effective membrane or stretched horizon picture of black
holes using our bulk description of Brownian motion.Comment: 54 pages (38 pages + 5 appendices), 5 figures. v2: references added,
clarifications in 6.2. v3: clarifications, version submitted to JHE
Charge Segregation and Antiferromagnetism in High-Tc Superconductors
Local antiferromagnetism coexists with superconductivity in the cuprates.
Charge segregation provides a way to reconcile these properties. Direct
evidence for modulated spin and charge densities has been found in neutron and
X-ray scattering studies of Nd-doped La(2-x)Sr(x)CuO(4). Here we discuss the
nature of the modulation, and present some new results for a Zn-doped sample.
Some of the open questions concerning the connections between segregation and
superconductivity are described.Comment: 9 pp using elsart.sty, 3 eps figures included with psfig.sty, for
Proc. of ISSP-7, to be published in J. Phys. Chem. Solid
Membrane paradigm realized?
Are there any degrees of freedom on the black hole horizon? Using the
`membrane paradigm' we can reproduce coarse-grained physics outside the hole by
assuming a fictitious membrane just outside the horizon. But to solve the
information puzzle we need `real' degrees of freedom at the horizon, which can
modify Hawking's evolution of quantum modes. We argue that recent results on
gravitational microstates imply a set of real degrees of freedom just outside
the horizon; the state of the hole is a linear combination of rapidly
oscillating gravitational solutions with support concentrated just outside the
horizon radius. The collective behavior of these microstate solutions may give
a realization of the membrane paradigm, with the fictitious membrane now
replaced by real, explicit degrees of freedom.Comment: 8 pages, Latex, 3 figures (Essay given second place in Gravity
Research Foundation essay competition 2010
Glassy nature of stripe ordering in La(1.6-x)Nd(0.4)Sr(x)CuO(4)
We present the results of neutron-scattering studies on various aspects of
crystalline and magnetic structure in single crystals of
La(1.6-x)Nd(0.4)Sr(x)CuO(4) with x=0.12 and 0.15. In particular, we have
reexamined the degree of stripe order in an x=0.12 sample. Measurements of the
width for an elastic magnetic peak show that it saturates at a finite value
below 30 K, corresponding to a spin-spin correlation length of 200 A. A model
calculation indicates that the differing widths of magnetic and (previously
reported) charge-order peaks, together with the lack of commensurability, can
be consistently explained by disorder in the stripe spacing. Above 30 K, the
width of the nominally elastic signal begins to increase. Interpreting the
signal as critical scattering from slowly fluctuating spins, the temperature
dependence of the width is consistent with renormalized classical behavior of a
2-dimensional anisotropic Heisenberg antiferromagnet. Inelastic scattering
measurements show that incommensurate spin excitations survive at and above 50
K, where the elastic signal is neglible. We also report several results related
to the LTO-to-LTT transition.Comment: 13 pp, 2-col. REVTeX, 11 figures embedded with psfig; expanded
discussion of T-dep. of magnetic peak width; version to appear in Phys. Rev.
B (01Jun99
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