Optimal two-photon excitation of bound states in non-Markovian waveguide
QED
- URL: http://arxiv.org/abs/2009.08602v1
- Date: Fri, 18 Sep 2020 03:00:49 GMT
- Title: Optimal two-photon excitation of bound states in non-Markovian waveguide
QED
- Authors: Rahul Trivedi, Daniel Malz, Shanhui Fan, Jelena Vuckovic
- Abstract summary: Bound states arise in waveguide QED systems with a strong frequency-dependence of the coupling between emitters and photonic modes.
Photon-photon interactions mediated by the emitters can be used to excite them with two-photon states.
- Score: 0.43012765978447565
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Bound states arise in waveguide QED systems with a strong
frequency-dependence of the coupling between emitters and photonic modes. While
exciting such bound-states with single photon wave-packets is not possible,
photon-photon interactions mediated by the emitters can be used to excite them
with two-photon states. In this letter, we use scattering theory to provide
upper limits on this excitation probability for a general non-Markovian
waveguide QED system and show that this limit can be reached by a two-photon
wave-packet with vanishing uncertainty in the total photon energy. Furthermore,
we also analyze multi-emitter waveguide QED systems with multiple bound states
and provide a systematic construction of two-photon wave-packets that can
excite a given superposition of these bound states. As specific examples, we
study bound state trapping in waveguide QED systems with single and multiple
emitters and a time-delayed feedback.
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