Suggested readings
Theory and background
The theory of time-bin continuous fockstates is introduced in [1] 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 [7] and [8].
Similar approaches
The following is a list of approaches that are trying to solve problems that can also be treated with this library.
- [5] considers feedback in waveguide systems and uses a space-discretized waveguide picture with Monte Carlo trajectories
- [9] 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 [10] and [10] uses cascaded cavities to simulate quantum pulses. Further work also includes: [11] [12]
Papers where we reproduce results from
- The theoretical results in [3] are reproduced in Scattering on a two-level system.
- The semi-infinite waveguide with feedback considered in is considered in [5] and we reproduce the results in Waveguide and Mirror
- The fano transport studied in [13] and input-output relations formulated in [4] are described and studied in Input-Output Relations
References
- [1]
- M. Heuck, K. Jacobs and D. R. Englund. Photon-photon interactions in dynamically coupled cavities. Physical Review A 101 (2020).
- [2]
- B. Q. Baragiola, R. L. Cook, A. M. Branczyk and J. Combes. N-Photon wave packets interacting with an arbitrary quantum system. Physical Review A 86, 013811 (2012).
- [3]
- H. L. Jeannic, A. Tiranov, J. Carolan, T. Ramos, Y. Wang, M. H. Appel, S. Scholz, A. D. Wieck, A. Ludwig, N. Rotenberg, L. Midolo, J. J. García-Ripoll, A. S. Sørensen and P. Lodahl. Dynamical photon-photon interaction mediated by a quantum emitter. Nature Physics 18, 1191–1195 (2022).
- [4]
- S. Xu and S. Fan. Fano interference in two-photon transport. Physical Review A 94 (2016).
- [5]
- S. A. Regidor, G. Crowder, H. Carmichael and S. 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).
- [6]
- S. J. Whalen. Collision model for non-Markovian quantum trajectories. Physical Review A 100, 052113 (2019).
- [7]
- M. Heuck, K. Jacobs and D. R. Englund. Controlled-Phase Gate Using Dynamically Coupled Cavities and Optical Nonlinearities. Physical Review Letters 124 (2020).
- [8]
- S. Krastanov, K. Jacobs, G. Gilbert, D. R. Englund and M. Heuck. Controlled-phase gate by dynamic coupling of photons to a two-level emitter, npj Quantum Information 8, 103 (2022).
- [9]
- K. A. Fischer, R. Trivedi and D. Lukin. Particle emission from open quantum systems. Physical Review A 98 (2018).
- [10]
- A. H. Kiilerich and K. Mølmer. Input-Output Theory with Quantum Pulses. Physical Review Letters 123, 123604 (2019).
- [11]
- F. Yang, M. M. Lund, T. Pohl, P. Lodahl and K. Mølmer. Deterministic Photon Sorting in Waveguide QED Systems. Physical Review Letters 128 (2022).
- [12]
- V. R. Christiansen, A. H. Kiilerich and K. 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).
- [13]
- K. B. Joanesarson, J. Iles-Smith, M. Heuck and J. Mørk. Few-photon transport in Fano-resonance waveguide geometries. Physical Review A 101 (2020).
- [14]
- C. Gerry and P. Knight. Introductory Quantum Optics (Cambridge University Press, 2004).