15,030 research outputs found
Redundancy of classical and quantum correlations during decoherence
We analyze the time dependence of entanglement and total correlations between
a system and fractions of its environment in the course of decoherence. For the
quantum Brownian motion model we show that the entanglement and total
correlations have rather different dependence on the size of the environmental
fraction. Redundancy manifests differently in both types of correlations and
can be related with induced--classicality. To study this we introduce a new
measure of redundancy and compare it with the existing one.Comment: 6 pages, 4 figure
Decoherence induced by a dynamic spin environment (II): Disentanglement by local system-environment interactions
This article studies the decoherence induced on a system of two qubits by
local interactions with a spin chain with nontrivial internal dynamics
(governed by an XY Hamiltonian). Special attention is payed to the transition
between two limits: one in which both qubits interact with the same site of the
chain and another one where they interact with distant sites. The two cases
exhibit different behaviours in the weak and strong coupling regimes: when the
coupling is weak it is found that decoherence tends to decrease with distance,
while for strong coupling the result is the opposite. Also, in the weak
coupling case, the long distance limit is rapidly reached, while for strong
coupling there is clear evidence of an expected effect: environment-induced
interactions between the qubits of the system. A consequence of this is the
appearance of quasiperiodic events that can be interpreted as ``sudden deaths''
and ``sudden revivals'' of the entanglement between the qubits, with a time
scale related to the distance between them.Comment: 10 pages, 9 figure
Model independent analysis of proton structure for hydrogenic bound states
Proton structure effects in hydrogenic bound states are analyzed using
nonrelativistic QED effective field theory. Implications for the Lamb shift in
muonic hydrogen are discussed. Model-dependent assumptions in previous analyses
are isolated, and sensitivity to poorly constrained hadronic structure in the
two-photon exchange contribution is identified.Comment: 5 pages, 1 figure. v2: PRL versio
Improving the precision matrix for precision cosmology
The estimation of cosmological constraints from observations of the large
scale structure of the Universe, such as the power spectrum or the correlation
function, requires the knowledge of the inverse of the associated covariance
matrix, namely the precision matrix, . In most analyses,
is estimated from a limited set of mock catalogues. Depending
on how many mocks are used, this estimation has an associated error which must
be propagated into the final cosmological constraints. For future surveys such
as Euclid and DESI, the control of this additional uncertainty requires a
prohibitively large number of mock catalogues. In this work we test a novel
technique for the estimation of the precision matrix, the covariance tapering
method, in the context of baryon acoustic oscillation measurements. Even though
this technique was originally devised as a way to speed up maximum likelihood
estimations, our results show that it also reduces the impact of noisy
precision matrix estimates on the derived confidence intervals, without
introducing biases on the target parameters. The application of this technique
can help future surveys to reach their true constraining power using a
significantly smaller number of mock catalogues.Comment: 9 pages, 7 figures, minor changes to match version accepted by MNRA
Entanglement dynamics during decoherence
The evolution of the entanglement between oscillators that interact with the
same environment displays highly non-trivial behavior in the long time regime.
When the oscillators only interact through the environment, three dynamical
phases were identified and a simple phase diagram characterizing them was
presented. Here we generalize those results to the cases where the oscillators
are directly coupled and we show how a degree of mixidness can affect the final
entanglement. In both cases, entanglement dynamics is fully characterized by
three phases (SD: sudden death, NSD: no-sudden death and SDR: sudden death and
revivals) which cover a phase diagram that is a simple variant of the
previously introduced one. We present results when the oscillators are coupled
to the environment through their position and also for the case where the
coupling is symmetric in position and momentum (as obtained in the RWA). As a
bonus, in the last case we present a very simple derivation of an exact master
equation valid for arbitrary temperatures of the environment.Comment: to appear in QIP special issue on Quantum Decoherence and
Entanglemen
Dynamics of the entanglement between two oscillators in the same environment
We provide a complete characterization of the evolution of entanglement
between two oscillators coupled to a common environment. For initial Gaussian
states we identify three phases with different qualitative long time behavior:
There is a phase where entanglement undergoes a sudden death (SD). Another
phase (SDR) is characterized by an infinite sequence of events of sudden death
and revival of entanglement. In the third phase (NSD) there is no sudden death
of entanglement, which persist for long time. The phase diagram is described
and analytic expressions for the boundary between phases are obtained.
Numerical simulations show the accuracy of the analytic expressions. These
results are applicable to a large variety of non--Markovian environments. The
case of non--resonant oscillators is also numerically investigated.Comment: 4 pages, 5 figure
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