10,233 research outputs found
Upper bounds of dual flagged Weyl characters
For a subset of boxes in an square grid, let
denote the dual character of the flagged Weyl module associated to . It is
known that specifies to a Schubert polynomial (resp., a key
polynomial) in the case when is the Rothe diagram of a permutation (resp.,
the skyline diagram of a composition). One can naturally define a lower and an
upper bound of . M{\'e}sz{\'a}ros, St. Dizier and Tanjaya
conjectured that attains the upper bound if and only if
avoids a certain subdiagram. We provide a proof of this conjecture
Interference of multi-mode photon echoes generated in spatially separated solid-state atomic ensembles
High-visibility interference of photon echoes generated in spatially
separated solid-state atomic ensembles is demonstrated. The solid state
ensembles were LiNbO waveguides doped with Erbium ions absorbing at 1.53
m. Bright coherent states of light in several temporal modes (up to 3) are
stored and retrieved from the optical memories using two-pulse photon echoes.
The stored and retrieved optical pulses, when combined at a beam splitter, show
almost perfect interference, which demonstrates both phase preserving storage
and indistinguishability of photon echoes from separate optical memories. By
measuring interference fringes for different storage times, we also show
explicitly that the visibility is not limited by atomic decoherence. These
results are relevant for novel quantum repeaters architectures with photon echo
based multimode quantum memories
Cross-Kerr nonlinearity between continuous-mode coherent states and single photons
Weak cross-Kerr nonlinearities between single photons and coherent states are
the basis for many applications in quantum information processing. These
nonlinearities have so far mainly been discussed in terms of highly idealized
single-mode models. We develop a general theory of the interaction between
continuous-mode photonic pulses and apply it to the case of a single photon
interacting with a coherent state. We quantitatively study the validity of the
usual single-mode approximation using the concepts of fidelity and conditional
phase. We show that high fidelities, non-zero conditional phases and high
photon numbers are compatible, under conditions where the pulses fully pass
through each other and where unwanted transverse-mode effects are suppressed.Comment: 8 pages, 2 figures, more general results in section V
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