52 research outputs found
Local aspects of disentanglement induced by spontaneous emission
We consider spontaneous emission of two two-level atoms interacting with
vacuum fluctuations. We study the process of disentanglement in this system and
show the possibility of changing disentanglement time by local operations.Comment: 7 pages, 2 figure
Quantum interference and evolution of entanglement in a system of three-level atoms
We consider a pair of three-level atoms interacting with the vacuum. The
process of disentanglement due to spontaneous emission and the role of quantum
interference between principal transitions in this process, are analysed. We
show that the presence of interference can slow down disentanglement. In the
limit of maximal interference, some part of initial entanglement can survive.Comment: 6 pages, 8 figure
Vacuum - induced stationary entanglement in radiatively coupled three - level atoms
We consider a pair of three - level atoms interacting with a common vacuum
and analyze the process of entanglement production due to spontaneous emission.
We show that in the case of closely separated atoms, collective damping can
generate robust entanglement of the asymptotic states.Comment: published versio
Generation of Werner-like stationary states of two qubits in a thermal reservoir
The dynamics of entanglement between two-level atoms immersed in a common
photon reservoir at finite temperature is investigated. It is shown that in the
regime of strong correlations there are nontrivial asymptotic states which can
be interpreted in terms of thermal generalization of Werner states.Comment: Published versio
Entanglement and nonlocality versus spontaneous emission in two-atom system
We study evolution of entanglement of two two-level atoms in the presence of
dissipation caused by spontaneous emission. We find explicit fromulas for the
amount of entanglement as a function of time, in the case of destruction of the
initial entanglement and possible creation of a transient entanglement between
atoms. We also discuss how spontaneous emission influences nonlocality of
states expressed by violation of Bell - CHSH inequality. It is shown that
evolving system very quickly becomes local, even if entanglement is still
present or produced.Comment: 15 pages, 7 figure
Stochastically positive structures on Weyl algebras. The case of quasi-free states
We consider quasi-free stochastically positive ground and thermal states on
Weyl algebras in Euclidean time formulation. In particular, we obtain a new
derivation of a general form of thermal quasi-free state and give conditions
when such state is stochastically positive i.e. when it defines periodic
stochastic process with respect to Euclidean time, so called thermal process.
Then we show that thermal process completely determines modular structure
canonically associated with quasi-free state on Weyl algebra. We discuss a
variety of examples connected with free field theories on globally hyperbolic
stationary space-times and models of quantum statistical mechanics.Comment: 46 pages, amste
Unbounded-error One-way Classical and Quantum Communication Complexity
This paper studies the gap between quantum one-way communication complexity
and its classical counterpart , under the {\em unbounded-error}
setting, i.e., it is enough that the success probability is strictly greater
than 1/2. It is proved that for {\em any} (total or partial) Boolean function
, , i.e., the former is always exactly one half
as large as the latter. The result has an application to obtaining (again an
exact) bound for the existence of -QRAC which is the -qubit random
access coding that can recover any one of original bits with success
probability . We can prove that -QRAC exists if and only if
. Previously, only the construction of QRAC using one qubit,
the existence of -RAC, and the non-existence of
-QRAC were known.Comment: 9 pages. To appear in Proc. ICALP 200
Unbounded-Error Classical and Quantum Communication Complexity
Since the seminal work of Paturi and Simon \cite[FOCS'84 & JCSS'86]{PS86},
the unbounded-error classical communication complexity of a Boolean function
has been studied based on the arrangement of points and hyperplanes. Recently,
\cite[ICALP'07]{INRY07} found that the unbounded-error {\em quantum}
communication complexity in the {\em one-way communication} model can also be
investigated using the arrangement, and showed that it is exactly (without a
difference of even one qubit) half of the classical one-way communication
complexity. In this paper, we extend the arrangement argument to the {\em
two-way} and {\em simultaneous message passing} (SMP) models. As a result, we
show similarly tight bounds of the unbounded-error two-way/one-way/SMP
quantum/classical communication complexities for {\em any} partial/total
Boolean function, implying that all of them are equivalent up to a
multiplicative constant of four. Moreover, the arrangement argument is also
used to show that the gap between {\em weakly} unbounded-error quantum and
classical communication complexities is at most a factor of three.Comment: 11 pages. To appear at Proc. ISAAC 200
Stationary two-atom entanglement induced by nonclassical two-photon correlations
A system of two two-level atoms interacting with a squeezed vacuum field can
exhibit stationary entanglement associated with nonclassical two-photon
correlations characteristic of the squeezed vacuum field. The amount of
entanglement present in the system is quantified by the well known measure of
entanglement called concurrence. We find analytical formulas describing the
concurrence for two identical and nonidentical atoms and show that it is
possible to obtain a large degree of steady-state entanglement in the system.
Necessary conditions for the entanglement are nonclassical two-photon
correlations and nonzero collective decay. It is shown that nonidentical atoms
are a better source of stationary entanglement than identical atoms. We discuss
the optimal physical conditions for creating entanglement in the system, in
particular, it is shown that there is an optimal and rather small value of the
mean photon number required for creating entanglement.Comment: 17 pages, 5 figure
Non-equilibrium entangled steady state of two independent two-level systems
We determine and study the steady state of two independent two-level systems
weakly coupled to a stationary non-equilibrium environment. Whereas this
bipartite state is necessarily uncorrelated if the splitting energies of the
two-level systems are different from each other, it can be entangled if they
are equal. For identical two-level systems interacting with two bosonic heat
baths at different temperatures, we discuss the influence of the baths
temperatures and coupling parameters on their entanglement. Geometric
properties, such as the baths dimensionalities and the distance between the
two-level systems, are relevant. A regime is found where the steady state is a
statistical mixture of the product ground state and of the entangled singlet
state with respective weights 2/3 and 1/3
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