11,353 research outputs found
Noncommutative Coulombic Monopole
We have constructed the appropriate Hamiltonian of the noncommutative
coulombic monopole (i.e. the noncommutative hydrogen atom with a monopole). The
energy levels of this system have been calculated, discussed and compared with
the noncommutative hydrogen atom ones. The main emphasis is put on the ground
state. In addition, the Stark effect for the noncommutative coulombic monopole
has been studied.Comment: 5 pages, PACS numbers: 03.65.-w, 14.80.Hv, 02.40.Gh, 32.60.+
Entanglement Entropy and Mutual Information Production Rates in Acoustic Black Holes
A method to investigate acoustic Hawking radiation is proposed, where
entanglement entropy and mutual information are measured from the fluctuations
of the number of particles. The rate of entropy radiated per one-dimensional
(1D) channel is given by , where is the sound
acceleration on the sonic horizon. This entropy production is accompanied by a
corresponding formation of mutual information to ensure the overall
conservation of information. The predictions are confirmed using an \emph{ab
initio} analytical approach in transonic flows of 1D degenerate ideal Fermi
fluids.Comment: 4 pages, 1 figure. Supplemental Material (pdf) included in the source
of this manuscrip
Generating continuous variable quantum codewords in the near-field atomic lithography
Recently, D. Gottesman et al. [Phys. Rev. A 64, 012310 (2001)] showed how to
encode a qubit into a continuous variable quantum system. This encoding was
realized by using non-normalizable quantum codewords, which therefore can only
be approximated in any real physical setup. Here we show how a neutral atom,
falling through an optical cavity and interacting with a single mode of the
intracavity electromagnetic field, can be used to safely encode a qubit into
its external degrees of freedom. In fact, the localization induced by a
homodyne detection of the cavity field is able to project the near-field atomic
motional state into an approximate quantum codeword. The performance of this
encoding process is then analyzed by evaluating the intrinsic errors induced in
the recovery process by the approximated form of the generated codeword.Comment: 9 pages, 5 figure
Landau-Zener Tunnelling in Waveguide Arrays
Landau-Zener tunnelling is discussed in connection with optical waveguide
arrays. Light injected in a specific band of the Bloch spectrum in the
propagation constant can be transmitted to another band, changing its physical
properties. This is achieved using two waveguide arrays with different
refractive indices, which amounts to consider a Schr\"odinger equation in a
periodic potential with a step. The step causes wave "acceleration" and thus
induces Landau-Zener tunnelling. The region of physical parameters where this
phenomenon can occur is analytically determined and a realistic experimental
setup is suggested. Its application could allow the realization of light
filters.Comment: 4 pages, 6 figure
The dynamics of the gravitational two-body problem at fourth post-Newtonian order and at quadratic order in the Newton constant
We derive the conservative part of the Lagrangian and the energy of a
gravitationally bound two-body system at fourth post-Newtonian order, up to
terms quadratic in the Newton constant. We also show that such terms are
compatible with Lorentz invariance and we write an ansatz for the
center-of-mass position. The remaining terms carrying higher powers of the
Newton constant are currently under investigation.Comment: 24 pages, 2 figures. Typos in formulae corrected, references added,
more comments in the conclusion in v
Bosonic Memory Channels
We discuss a Bosonic channel model with memory effects. It relies on a
multi-mode squeezed (entangled) environment's state. The case of lossy Bosonic
channels is analyzed in detail. We show that in the absence of input energy
constraints the memory channels are equivalent to their memoryless
counterparts. In the case of input energy constraint we provide lower and upper
bounds for the memory channel capacity.Comment: 6 pages, 2 figure
Side-channel-free quantum key distribution
Quantum key distribution (QKD) offers the promise of absolutely secure
communications. However, proofs of absolute security often assume perfect
implementation from theory to experiment. Thus, existing systems may be prone
to insidious side-channel attacks that rely on flaws in experimental
implementation. Here we replace all real channels with virtual channels in a
QKD protocol, making the relevant detectors and settings inside private spaces
inaccessible while simultaneously acting as a Hilbert space filter to eliminate
side-channel attacks. By using a quantum memory we find that we are able to
bound the secret-key rate below by the entanglement-distillation rate computed
over the distributed states.Comment: Considering general quantum systems, we extended QKD to the presence
of an untrusted relay, whose measurement creates secret correlations in
remote stations (achievable rate lower-bounded by the coherent information).
This key ingredient, i.e., the use of a measurement-based untrusted relay,
has been called 'measurement-device independence' in another arXiv submission
(arXiv:1109.1473
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