Wigner-Function Fingerprints of Collective Excitations in Mirror-Terminated Waveguide QED
Abstract
We investigate the emission profiles of singly excited collective states and propose a matched-mode witnessing protocol in a mirror-terminated waveguide quantum electrodynamics system. The amplitudes and relative phases of the initial collective excitation are encoded in the temporal mode of the emitted single-photon wavepacket, providing a route to state verification through the common waveguide output. We identify the emission mode associated with a chosen target state and employ an auxiliary virtual-cavity representation to evaluate the quantum state of this selected output mode. For a matched initial state, the selected mode contains the emitted single photon, whose Wigner function exhibits a pronounced non-classical negative dip, serving as a distinct fingerprint of the target many-body state. With the reference mode held fixed, different initial configurations yield different photon occupations and phase-space distributions, demonstrating the state selectivity of the protocol. These results connect collective-state verification with temporal-mode analysis of the emitted radiation, offering access to collective coherence with reduced reliance on qubit-resolved correlation measurements.
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BibTeX
@misc{lin2026wignerfunction,
title = {{Wigner-Function Fingerprints of Collective Excitations in Mirror-Terminated Waveguide QED}},
author = {Kuan-Ting Lin and Chen-Yu Lee and Yu-Chen Lin and Ting Hsu and Guin-Dar Lin},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.04553},
eprint = {2611.04553},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.04553},
}
RIS
TY - UNPB
TI - Wigner-Function Fingerprints of Collective Excitations in Mirror-Terminated Waveguide QED
AU - Kuan-Ting Lin
AU - Chen-Yu Lee
AU - Yu-Chen Lin
AU - Ting Hsu
AU - Guin-Dar Lin
PY - 2026
DA - 2026/11/03
PB - arXiv
DO - 10.48550/arxiv.2611.04553
UR - https://arxiv.org/abs/2611.04553
AB - We investigate the emission profiles of singly excited collective states and propose a matched-mode witnessing protocol in a mirror-terminated waveguide quantum electrodynamics system. The amplitudes and relative phases of the initial collective excitation are encoded in the temporal mode of the emitted single-photon wavepacket, providing a route to state verification through the common waveguide output. We identify the emission mode associated with a chosen target state and employ an auxiliary virtual-cavity representation to evaluate the quantum state of this selected output mode. For a matched initial state, the selected mode contains the emitted single photon, whose Wigner function exhibits a pronounced non-classical negative dip, serving as a distinct fingerprint of the target many-body state. With the reference mode held fixed, different initial configurations yield different photon occupations and phase-space distributions, demonstrating the state selectivity of the protocol. These results connect collective-state verification with temporal-mode analysis of the emitted radiation, offering access to collective coherence with reduced reliance on qubit-resolved correlation measurements.
ER -