Suggested readings

Theory and background

The theory of time-bin continuous fockstates is introduced in Mikkel Heuck, Kurt Jacobs, Dirk R. Englund (2020) where it is used to derive the equations of motion for Waveguide QED systems. The numerical method in this library is heavily based on this approach, where instead of deriving the equations, the systems are solved by applying the operators themselves. The time-bin method is also used in Mikkel Heuck, Kurt Jacobs, Dirk R. Englund (2020) and Stefan Krastanov, Kurt Jacobs, Gerald Gilbert, Dirk R. Englund, Mikkel Heuck (2022).

Similar approaches

The following is a list of approaches that are trying to solve problems that can also be treated with this library.

Sofia Arranz Regidor, Gavin Crowder, Howard Carmichael, Stephen Hughes (2021) considers feedback in waveguide systems and uses a space-discretized waveguide picture with Monte Carlo trajectories
Kevin A. Fischer, Rahul Trivedi, Daniil Lukin (2018) relates many approaches to solving WaveguideQED problems with each other and also introduces a framework that aims to deal with similar problems through master equations, photon counting and tracing out the waveguide.
The SLH formalism introduced in Alexander Holm Kiilerich, Klaus Mølmer (2019) and Alexander Holm Kiilerich, Klaus Mølmer (2019) uses cascaded cavities to simulate quantum pulses. Further work also includes: Fan Yang, Mads M. Lund, Thomas Pohl, Peter Lodahl, Klaus Mølmer (2022) Victor Rueskov Christiansen, Alexander Holm Kiilerich, Klaus Mølmer (2023)

Papers where we reproduce results from

The theoretical results in Hanna Le Jeannic, Alexey Tiranov, Jacques Carolan, Tomás Ramos, Ying Wang, Martin Hayhurst Appel, Sven Scholz, Andreas D. Wieck, Arne Ludwig, Nir Rotenberg, Leonardo Midolo, Juan José García-Ripoll, Anders S. Sørensen, Peter Lodahl (2022) are reproduced in Scattering on a two-level system.
The semi-infinite waveguide with feedback considered in is considered in Sofia Arranz Regidor, Gavin Crowder, Howard Carmichael, Stephen Hughes (2021) and we reproduce the results in Waveguide and Mirror
The fano transport studied in Kristoffer B. Joanesarson, Jake Iles-Smith, Mikkel Heuck, Jesper Mørk (2020) and input-output relations formulated in Shanshan Xu, Shanhui Fan (2016) are described and studied in Input-Output Relations

References

Baragiola2012N-PhotonSystem: Ben Q. Baragiola, Robert L. Cook, Agata M. Branczyk, Joshua Combes, {N-Photon wave packets interacting with an arbitrary quantum system}, Physical Review A, 86(1), 013811, 2012.
Joanesarson2020: Kristoffer B. Joanesarson, Jake Iles-Smith, Mikkel Heuck, Jesper Mørk, Few-photon transport in Fano-resonance waveguide geometries, Physical Review A, 101, 2020.
Heuck2020Photon-photonCavities: Mikkel Heuck, Kurt Jacobs, Dirk R. Englund, {Photon-photon interactions in dynamically coupled cavities}, Physical Review A, 101(4), 2020.
Heuck2020: Mikkel Heuck, Kurt Jacobs, Dirk R. Englund, Controlled-Phase Gate Using Dynamically Coupled Cavities and Optical Nonlinearities, Physical Review Letters, 124, 2020.
Krastanov2022: Stefan Krastanov, Kurt Jacobs, Gerald Gilbert, Dirk R. Englund, Mikkel Heuck, Controlled-phase gate by dynamic coupling of photons to a two-level emitter, npj Quantum Information, 8, 103, 2022.
Fischer2018: Kevin A. Fischer, Rahul Trivedi, Daniil Lukin, Particle emission from open quantum systems, Physical Review A, 98, 2018.
Ciccarello2018: Francesco Ciccarello, Collision models in quantum optics, Quantum Measurements and Quantum Metrology, 4, 2018.
HughesWQEDMPP2021: Sofia Arranz Regidor, Gavin Crowder, Howard Carmichael, Stephen Hughes, Modeling quantum light-matter interactions in waveguide QED with retardation, nonlinear interactions, and a time-delayed feedback: Matrix product states versus a space-discretized waveguide model, Physical Review Research, 3, 023030, 2021.
Whalen2019: S. J. Whalen, Collision model for non-Markovian quantum trajectories, Physical Review A, 100, 052113, 2019.
Xu2016: Shanshan Xu, Shanhui Fan, Fano interference in two-photon transport, Physical Review A, 94, 2016.
Kiilerich2020: Alexander Holm Kiilerich, Klaus Mølmer, Quantum interactions with pulses of radiation, Physical Review A, 102, 023717, 2020.
Kiilerich2019: Alexander Holm Kiilerich, Klaus Mølmer, Input-Output Theory with Quantum Pulses, Physical Review Letters, 123, 123604, 2019.
Yang2022: Fan Yang, Mads M. Lund, Thomas Pohl, Peter Lodahl, Klaus Mølmer, Deterministic Photon Sorting in Waveguide QED Systems, Physical Review Letters, 128, 2022.
Christiansen2023: Victor Rueskov Christiansen, Alexander Holm Kiilerich, Klaus Mølmer, Interactions of quantum systems with pulses of quantized radiation: From a cascaded master equation to a traveling mode perspective, Physical Review A, 107, 013706, 2023.
Gerry2004: Christopher Gerry, Peter Knight, Introductory Quantum Optics, Cambridge University Press, 2004.
DynamicalPhotonLodahl2022: Hanna Le Jeannic, Alexey Tiranov, Jacques Carolan, Tomás Ramos, Ying Wang, Martin Hayhurst Appel, Sven Scholz, Andreas D. Wieck, Arne Ludwig, Nir Rotenberg, Leonardo Midolo, Juan José García-Ripoll, Anders S. Sørensen, Peter Lodahl, Dynamical photon-photon interaction mediated by a quantum emitter, Nature Physics, 18, 1191-1195, 2022.