|
| related topics |
| {light, field, probe} |
| {photon, photons, single} |
| {cos, sin, state} |
| {equation, function, exp} |
| {states, state, optimal} |
| {let, theorem, proof} |
| {time, wave, function} |
| {cavity, atom, atoms} |
| {temperature, thermal, energy} |
| {state, algorithm, problem} |
|
Optimal focusing for maximal collection of entangled narrow-band photon
pairs into single-mode fibers
Daniel Ljunggren, Maria Tengner
abstract: We present a theoretical and experimental investigation of the emission
characteristics and the flux of photon pairs generated by spontaneous
parametric downconversion in quasi-phase matched bulk crystals for the use in
quantum communication sources. We show that, by careful design, one can attain
well defined modes close to the fundamental mode of optical fibers and obtain
high coupling efficiencies also for bulk crystals, these being more easily
aligned than crystal waveguides. We distinguish between singles coupling,
conditional coincidence, and pair coupling, and show how each of these
parameters can be maximized by varying the focusing of the pump mode and the
fiber-matched modes using standard optical elements. Specifically we analyze a
periodically poled KTP-crystal pumped by a 532 nm laser creating photon pairs
at 810 nm and 1550 nm. Numerical calculations lead to coupling efficiencies
above 94% at optimal focusing, which is found by the geometrical relation L/z_R
to be ~ 1 to 2 for the pump mode and ~ 2 to 3 for the fiber-modes, where L is
the crystal length and z_R is the Rayleigh-range of the mode-profile. These
results are independent on L. By showing that the single-mode bandwidth
decreases as 1/L, we can therefore design the source to produce and couple
narrow bandwidth photon pairs well into the fibers. Smaller bandwidth means
both less chromatic dispersion for long propagation distances in fibers, and
that telecom Bragg gratings can be utilized to compensate for broadened photon
packets--a vital problem for time-multiplexed qubits. Longer crystals also
yield an increase in fiber photon flux proportional to sqrt{L}, and so,
assuming correct focusing, we can only see advantages using long crystals.
- oai_identifier:
- oai:arXiv.org:quant-ph/0507046
- categories:
- quant-ph
- comments:
- 19 pages, 15 figures, ReVTeX4, minor revision
- doi:
- 10.1103/PhysRevA.72.062301
- arxiv_id:
- quant-ph/0507046
- journal_ref:
- Phys. Rev. A 72, 062301 (2005)
- created:
- 2005-07-05
- updated:
- 2005-11-20
Full article ▸
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