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Correlation functions and photon-photon interactions controlled by a giant atom
Phys. Rev. A 114, 033718 – Published 14 September, 2026
DOI: https://doi.org/10.1103/w8hb-89vv
Abstract
Waveguide quantum electrodynamics provides a powerful platform for exploring quantum optical phenomena by enhancing atom-photon interactions through photon confinement in a waveguide. Here we investigate the photon-scattering dynamics of a weak coherent pulse incident from the left on a giant atom coupled to a bidirectional waveguide, focusing on effects absent in the small-atom approximation. Using an extended input-output formalism, we calculate the relevant correlation functions and show that the competition between two scattering processes is governed by the ratio of the pulse width to the atomic lifetime, leading to time-dependent switching between bunching and antibunching. In addition, tuning the phase accumulated between the two coupling points of the giant atom allows the photon statistics to be switched among three distinct regimes, each with a finite phase bandwidth. We also discuss the experimental feasibility in superconducting circuits. Our results provide a route toward giant-atom-based control of photon pulses and potential applications in quantum control.
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References (97)
- A. S. Sheremet, M. I. Petrov, I. V. Iorsh, A. V. Poshakinskiy, and A. N. Poddubny, Waveguide quantum electrodynamics: Collective radiance and photon-photon correlations, Rev. Mod. Phys. 95, 015002 (2023).
- D. Roy, C. M. Wilson, and O. Firstenberg, Colloquium: Strongly interacting photons in one-dimensional continuum, Rev. Mod. Phys. 89, 021001 (2017).
- M. M. Lund, F. Yang, V. R. Christiansen, D. Kornovan, and K. Mølmer, Subtraction and addition of propagating photons by two-level emitters, Phys. Rev. Lett. 133, 103601 (2024).
- S. Rosenblum, O. Bechler, I. Shomroni, Y. Lovsky, G. Guendelman, and B. Dayan, Extraction of a single photon from an optical pulse, Nat. Photon. 10, 19 (2016).
- T. Li, A. Miranowicz, X. Hu, K. Xia, and F. Nori, Quantum memory and gates using a -type quantum emitter coupled to a chiral waveguide, Phys. Rev. A 97, 062318 (2018).
- S. Mahmoodian, P. Lodahl, and A. S. Sørensen, Quantum networks with chiral-light–matter interaction in waveguides, Phys. Rev. Lett. 117, 240501 (2016).
- B. Kannan, D. L. Campbell, F. Vasconcelos, R. Winik, D. K. Kim, M. Kjaergaard, P. Krantz, A. Melville, B. M. Niedzielski, J. L. Yoder, T. P. Orlando, S. Gustavsson, and W. D. Oliver, Generating spatially entangled itinerant photons with waveguide quantum electrodynamics, Sci. Adv. 6, eabb8780 (2020).
- W.-J. Lin, Y. Lu, P. Y. Wen, Y.-T. Cheng, C.-P. Lee, K. T. Lin, K. H. Chiang, M. C. Hsieh, C.-Y. Chen, C.-H. Chien, et al., Deterministic loading of microwaves onto an artificial atom using a time-reversed waveform, Nano Lett. 22, 8137 (2022).
- H. Ai, Y.-Y. Fang, C.-R. Feng, Z. Peng, and Z.-L. Xiang, Multinode state transfer and nonlocal state preparation via a unidirectional quantum network, Phys. Rev. Appl. 17, 054021 (2022).
- Z.-L. Xiang, M. Zhang, L. Jiang, and P. Rabl, Intracity quantum communication via thermal microwave networks, Phys. Rev. X 7, 011035 (2017).
- M. O. Scully and M. S. Zubairy, Quantum Optics (Cambridge University Press, Cambridge, UK, 1997).
- G. S. Agarwal, Quantum Optics (Cambridge University Press, Cambridge, UK, 2012).
- G. Tian, L.-L. Zheng, Z.-M. Zhan, F. Nori, and X.-Y. Lü, Disorder-induced strongly correlated photons in waveguide QED, Phys. Rev. Lett. 135, 153604 (2025).
- J.-T. Shen and S. Fan, Strongly correlated two-photon transport in a one-dimensional waveguide coupled to a two-level system, Phys. Rev. Lett. 98, 153003 (2007).
- S. Mahmoodian, M. Čepulkovskis, S. Das, P. Lodahl, K. Hammerer, and A. S. Sørensen, Strongly correlated photon transport in waveguide quantum electrodynamics with weakly coupled emitters, Phys. Rev. Lett. 121, 143601 (2018).
- H. Zhou, L. Wang, R.-Y. Gong, Z.-L. Xiang, X. Chen, and L. Yuan, Dark-state-mediated topological response to coherence effects from two independent phases in single-photon transport, Phys. Rev. A 111, 033716 (2025).
- A. V. Poshakinskiy, J. Zhong, Y. Ke, N. A. Olekhno, C. Lee, Y. S. Kivshar, and A. N. Poddubny, Quantum Hall phases emerging from atom–photon interactions, npj Quantum Inf. 7, 34 (2021).
- J.-S. Tang, W. Nie, L. Tang, M. Chen, X. Su, Y. Lu, F. Nori, and K. Xia, Nonreciprocal single-photon band structure, Phys. Rev. Lett. 128, 203602 (2022).
- X.-L. Lu and Z.-L. Xiang, Controllable operations of edge states in cross-one-dimensional topological chains, Phys. Rev. Res. 7, L042050 (2025).
- H. Le Jeannic, T. Ramos, S. F. Simonsen, T. Pregnolato, Z. Liu, R. Schott, A. D. Wieck, A. Ludwig, N. Rotenberg, J. J. García-Ripoll, and P. Lodahl, Experimental reconstruction of the few-photon nonlinear scattering matrix from a single quantum dot in a nanophotonic waveguide, Phys. Rev. Lett. 126, 023603 (2021).
- M. Čepulkovskis, Nonlinear Photon Interactions in Waveguides, Master's thesis, Niels Bohr Institute, University of Copenhagen, 2017.
- H. Le Jeannic, A. Tiranov, J. Carolan, T. Ramos, Y. Wang, M. H. Appel, S. Scholz, A. D. Wieck, A. Ludwig, N. Rotenberg, et al., Dynamical photon–photon interaction mediated by a quantum emitter, Nat. Phys. 18, 1191 (2022).
- A. S. Prasad, J. Hinney, S. Mahmoodian, K. Hammerer, S. Rind, P. Schneeweiss, A. S. Sørensen, J. Volz, and A. Rauschenbeutel, Correlating photons using the collective nonlinear response of atoms weakly coupled to an optical mode, Nat. Photon. 14, 719 (2020).
- A. F. Kockum, Quantum optics with giant atoms—The first five years, in International Symposium on Mathematics, Quantum Theory, and Cryptography (Springer, Singapore, 2021), Vol. 33, pp. 125–146.
- G. Andersson, B. Suri, L. Guo, T. Aref, and P. Delsing, Non-exponential decay of a giant artificial atom, Nat. Phys. 15, 1123 (2019).
- A. Frisk Kockum, P. Delsing, and G. Johansson, Designing frequency-dependent relaxation rates and Lamb shifts for a giant artificial atom, Phys. Rev. A 90, 013837 (2014).
- A. Frisk Kockum, G. Johansson, and F. Nori, Quantum optics with giant artificial atoms in a 1D waveguide, in APS March Meeting Abstracts (APS, New York, 2017), Vol. 2017, pp. R46–010.
- Z.-Q. Wang, Y.-P. Wang, J. Yao, R.-C. Shen, W.-J. Wu, J. Qian, J. Li, S.-Y. Zhu, and J. You, Giant spin ensembles in waveguide magnonics, Nat. Commun. 13, 7580 (2022).
- B. Kannan, M. J. Ruckriegel, D. L. Campbell, A. Frisk Kockum, J. Braumüller, D. K. Kim, M. Kjaergaard, P. Krantz, A. Melville, B. M. Niedzielski, et al., Waveguide quantum electrodynamics with superconducting artificial giant atoms, Nature (London) 583, 775 (2020).
- C. Joshi, F. Yang, and M. Mirhosseini, Resonance fluorescence of a chiral artificial atom, Phys. Rev. X 13, 021039 (2023).
- M. V. Gustafsson, T. Aref, A. F. Kockum, M. K. Ekström, G. Johansson, and P. Delsing, Propagating phonons coupled to an artificial atom, Science 346, 207 (2014).
- X. Wang, T. Liu, A. F. Kockum, H.-R. Li, and F. Nori, Tunable chiral bound states with giant atoms, Phys. Rev. Lett. 126, 043602 (2021).
- G. Chen and A. F. Kockum, Scalable quantum simulator with an extended gate set in giant atoms, Quantum 10, 1992 (2026).
- C. Wang, X.-S. Ma, and M.-T. Cheng, Giant atom-mediated single photon routing between two waveguides, Opt. Express 29, 40116 (2021).
- Y. Wang, W.-A. Li, and Y. Chen, Targeted quantum routing of single photons in a giant-atom waveguide-QED system, Phys. Rev. A 111, 043713 (2025).
- R.-Y. Gong, Z.-Y. He, C.-H. Yu, G.-F. Zhang, F. Nori, and Z.-L. Xiang, Tunable quantum router with giant atoms, implementing quantum gates, teleportation, non-reciprocity, and circulators, arXiv:2411.19307.
- K.-X. Yan, Y. Liu, Y. Xiao, J.-H. Lin, J. Song, Y.-H. Chen, F. Nori, and Y. Xia, Giant-atom quantum batteries: Lossless energy transfer via interference engineering, Phys. Rev. Lett. 136, 180401 (2026).
- Y.-T. Chen, L. Du, L. Guo, Z. Wang, Y. Zhang, Y. Li, and J.-H. Wu, Nonreciprocal and chiral single-photon scattering for giant atoms, Commun. Phys. 5, 215 (2022).
- A. F. Kockum, G. Johansson, and F. Nori, Decoherence-free interaction between giant atoms in waveguide quantum electrodynamics, Phys. Rev. Lett. 120, 140404 (2018).
- L. Du, L. Guo, and Y. Li, Complex decoherence-free interactions between giant atoms, Phys. Rev. A 107, 023705 (2023).
- A. Carollo, D. Cilluffo, and F. Ciccarello, Mechanism of decoherence-free coupling between giant atoms, Phys. Rev. Res. 2, 043184 (2020).
- A. Soro and A. F. Kockum, Chiral quantum optics with giant atoms, Phys. Rev. A 105, 023712 (2022).
- F. Roccati and D. Cilluffo, Controlling Markovianity with chiral giant atoms, Phys. Rev. Lett. 133, 063603 (2024).
- Q.-Y. Qiu, Y. Wu, and X.-Y. Lü, Collective radiance of giant atoms in non-Markovian regime, Sci. Chin. Phys. Mech. Astron. 66, 224212 (2023).
- H. Walther, B. T. Varcoe, B.-G. Englert, and T. Becker, Cavity quantum electrodynamics, Rep. Prog. Phys. 69, 1325 (2006).
- J. M. Raimond, M. Brune, and S. Haroche, Manipulating quantum entanglement with atoms and photons in a cavity, Rev. Mod. Phys. 73, 565 (2001).
- A. Blais, A. L. Grimsmo, S. M. Girvin, and A. Wallraff, Circuit quantum electrodynamics, Rev. Mod. Phys. 93, 025005 (2021).
- X. Gu, A. F. Kockum, A. Miranowicz, Y.-x. Liu, and F. Nori, Microwave photonics with superconducting quantum circuits, Phys. Rep. 718-719, 1 (2017).
- S. Haroche, M. Brune, and J. Raimond, From cavity to circuit quantum electrodynamics, Nat. Phys. 16, 243 (2020).
- S. Mahmoodian, G. Calajó, D. E. Chang, K. Hammerer, and A. S. Sørensen, Dynamics of many-body photon bound states in chiral waveguide QED, Phys. Rev. X 10, 031011 (2020).
- W. Gu, H. Huang, Z. Yi, L. Chen, L. Sun, and H. Tan, Correlated two-photon scattering in a one-dimensional waveguide coupled to two-or three-level giant atoms, Phys. Rev. A 108, 053718 (2023).
- Q.-Y. Liang, A. V. Venkatramani, S. H. Cantu, T. L. Nicholson, M. J. Gullans, A. V. Gorshkov, J. D. Thompson, C. Chin, M. D. Lukin, and V. Vuletić, Observation of three-photon bound states in a quantum nonlinear medium, Science 359, 783 (2018).
- C. Vaneph, A. Morvan, G. Aiello, M. Féchant, M. Aprili, J. Gabelli, and J. Estève, Observation of the unconventional photon blockade in the microwave domain, Phys. Rev. Lett. 121, 043602 (2018).
- H. J. Snijders, J. A. Frey, J. Norman, H. Flayac, V. Savona, A. C. Gossard, J. E. Bowers, M. P. van Exter, D. Bouwmeester, and W. Löffler, Observation of the unconventional photon blockade, Phys. Rev. Lett. 121, 043601 (2018).
- Q. Bin, X.-Y. Lü, S.-W. Bin, and Y. Wu, Two-photon blockade in a cascaded cavity-quantum-electrodynamics system, Phys. Rev. A 98, 043858 (2018).
- Z.-G. Lu, Y. Wu, and X.-Y. Lü, Chiral interaction induced near-perfect photon blockade, Phys. Rev. Lett. 134, 013602 (2025).
- R. Trivedi, M. Radulaski, K. A. Fischer, S. Fan, and J. Vučković, Photon blockade in weakly driven cavity quantum electrodynamics systems with many emitters, Phys. Rev. Lett. 122, 243602 (2019).
- R. Huang, Ş. K. Özdemir, J.-Q. Liao, F. Minganti, L.-M. Kuang, F. Nori, and H. Jing, Exceptional photon blockade: Engineering photon blockade with chiral exceptional points, Laser Photon. Rev. 16, 2100430 (2022).
- Q. Bin, Y. Wu, J.-H. Gao, A. Chen, F. Nori, and X.-Y. Lü, Cavity QED based on strongly localized modes: Exponentially enhancing single-atom cooperativity, Phys. Rev. Lett. 135, 103602 (2025).
- G. Crowder, L. Ramunno, and S. Hughes, Quantum trajectory theory and simulations of nonlinear spectra and multiphoton effects in waveguide-QED systems with a time-delayed coherent feedback, Phys. Rev. A 106, 013714 (2022).
- T. Ramos, B. Vermersch, P. Hauke, H. Pichler, and P. Zoller, Non-Markovian dynamics in chiral quantum networks with spins and photons, Phys. Rev. A 93, 062104 (2016).
- A. J. Daley, Quantum trajectories and open many-body quantum systems, Adv. Phys. 63, 77 (2014).
- M. P. Schneider, T. Sproll, C. Stawiarski, P. Schmitteckert, and K. Busch, Green's-function formalism for waveguide QED applications, Phys. Rev. A 93, 013828 (2016).
- Z.-G. Lu, C. Shang, Y. Wu, and X.-Y. Lü, Analytical approach to higher-order correlation functions in U(1) symmetric systems, Phys. Rev. A 108, 053703 (2023).
- Y. Ke, A. V. Poshakinskiy, C. Lee, Y. S. Kivshar, and A. N. Poddubny, Inelastic scattering of photon pairs in qubit arrays with subradiant states, Phys. Rev. Lett. 123, 253601 (2019).
- T. Shi, S. Fan, and C. P. Sun, Two-photon transport in a waveguide coupled to a cavity in a two-level system, Phys. Rev. A 84, 063803 (2011).
- W.-B. Yan, Q.-B. Fan, and L. Zhou, Control of correlated two-photon transport in a one-dimensional waveguide, Phys. Rev. A 85, 015803 (2012).
- A. Nysteen, P. T. Kristensen, D. P. McCutcheon, P. Kaer, and J. Mørk, Scattering of two photons on a quantum emitter in a one-dimensional waveguide: Exact dynamics and induced correlations, New J. Phys. 17, 023030 (2015).
- Z. Chen, Y. Zhou, and J.-T. Shen, Dissipation-induced photonic-correlation transition in waveguide-QED systems, Phys. Rev. A 96, 053805 (2017).
- S. Fan, Ş. E. Kocabaş, and J.-T. Shen, Input-output formalism for few-photon transport in one-dimensional nanophotonic waveguides coupled to a qubit, Phys. Rev. A 82, 063821 (2010).
- A. J. Schramm, Mathematical Methods and Physical Insights: An Integrated Approach (Cambridge University Press, Cambridge, UK, 2022).
- B. Brecht, D. V. Reddy, C. Silberhorn, and M. G. Raymer, Photon temporal modes: A complete framework for quantum information science, Phys. Rev. X 5, 041017 (2015).
- A. Kubanek, A. Ourjoumtsev, I. Schuster, M. Koch, P. W. H. Pinkse, K. Murr, and G. Rempe, Two-photon gateway in one-atom cavity quantum electrodynamics, Phys. Rev. Lett. 101, 203602 (2008).
- Q. U. A. Gulfam and Z. Ficek, Highly directional photon superbunching from a few-atom chain of emitters, Phys. Rev. A 98, 063824 (2018).
- P. Kolchin, S. Du, C. Belthangady, G. Y. Yin, and S. E. Harris, Generation of narrow-bandwidth paired photons: Use of a single driving laser, Phys. Rev. Lett. 97, 113602 (2006).
- N. Tomm, S. Mahmoodian, N. O. Antoniadis, R. Schott, S. R. Valentin, A. D. Wieck, A. Ludwig, A. Javadi, and R. J. Warburton, Photon bound state dynamics from a single artificial atom, Nat. Phys. 19, 857 (2023).
- J. Koch, T. M. Yu, J. Gambetta, A. A. Houck, D. I. Schuster, J. Majer, A. Blais, M. H. Devoret, S. M. Girvin, and R. J. Schoelkopf, Charge-insensitive qubit design derived from the Cooper pair box, Phys. Rev. A 76, 042319 (2007).
- J.-Q. You and F. Nori, Atomic physics and quantum optics using superconducting circuits, Nature (London) 474, 589 (2011).
- P. Krantz, M. Kjaergaard, F. Yan, T. P. Orlando, S. Gustavsson, and W. D. Oliver, A quantum engineer's guide to superconducting qubits, Appl. Phys. Rev. 6, 021318 (2019).
- A. Ask and G. Johansson, Non-Markovian steady states of a driven two-level system, Phys. Rev. Lett. 128, 083603 (2022).
- D. C. McKay, S. Filipp, A. Mezzacapo, E. Magesan, J. M. Chow, and J. M. Gambetta, Universal gate for fixed-frequency qubits via a tunable bus, Phys. Rev. Appl. 6, 064007 (2016).
- P. Roushan, C. Neill, A. Megrant, Y. Chen, R. Babbush, R. Barends, B. Campbell, Z. Chen, B. Chiaro, A. Dunsworth, et al., Chiral ground-state currents of interacting photons in a synthetic magnetic field, Nat. Phys. 13, 146 (2017).
- X. Cao, A. Irfan, M. Mollenhauer, K. Singirikonda, and W. Pfaff, Parametrically controlled chiral interface for superconducting quantum devices, Phys. Rev. Appl. 22, 064023 (2024).
- X. Wang and H.-R. Li, Chiral quantum network with giant atoms, Quantum Sci. Technol. 7, 035007 (2022).
- J. Gabelli, L.-H. Reydellet, G. Feve, J.-M. Berroir, B. Placais, P. Roche, and D. C. Glattli, Hanbury Brown–Twiss correlations to probe the population statistics of GHz photons emitted by conductors, Phys. Rev. Lett. 93, 056801 (2004).
- Z. Peng, S. De Graaf, J. Tsai, and O. Astafiev, Tuneable on-demand single-photon source in the microwave range, Nat. Commun. 7, 12588 (2016).
- Y. Zhou, Z. Peng, Y. Horiuchi, O. V. Astafiev, and J. S. Tsai, Tunable microwave single-photon source based on transmon qubit with high efficiency, Phys. Rev. Appl. 13, 034007 (2020).
- Y. Hu, S.-Y. Li, E.-Q. Chen, J. Zhang, Y.-x. Liu, J.-G. Feng, and Z. Peng, On-demand microwave single-photon source based on tantalum thin film, Appl. Phys. Lett. 128, 154004 (2026).
- D. Bozyigit, C. Lang, L. Steffen, J. Fink, C. Eichler, M. Baur, R. Bianchetti, P. J. Leek, S. Filipp, M. P. Da Silva, et al., Antibunching of microwave-frequency photons observed in correlation measurements using linear detectors, Nat. Phys. 7, 154 (2011).
- C. Lang, C. Eichler, L. Steffen, J. Fink, M. J. Woolley, A. Blais, and A. Wallraff, Correlations, indistinguishability and entanglement in Hong–Ou–Mandel experiments at microwave frequencies, Nat. Phys. 9, 345 (2013).
- C. Lang, Quantum Microwave Radiation and Its Interference Characterized by Correlation Function Measurements in Circuit Quantum Electrodynamics, Ph.D. thesis, ETH Zurich, 2014.
- A. Opremcak, C. H. Liu, C. Wilen, K. Okubo, B. G. Christensen, D. Sank, T. C. White, A. Vainsencher, M. Giustina, A. Megrant, B. Burkett, B. L. T. Plourde, and R. McDermott, High-fidelity measurement of a superconducting qubit using an on-chip microwave photon counter, Phys. Rev. X 11, 011027 (2021).
- K. Vodenkova and H. Pichler, Continuous coherent quantum feedback with time delays: Tensor network solution, Phys. Rev. X 14, 031043 (2024).
- Astronaut-7: Astronaut-7/Correlation-Functions-and-Photon-Photon-Interactions-Controlled-by-a-Giant-Atom, GitHub, 2026, https://github.com/Astronaut-7/Correlation-Functions-and-Photon-Photon-Interactions-Controlled-by-a-Giant-Atom
- K. Lalumière, B. C. Sanders, A. F. van Loo, A. Fedorov, A. Wallraff, and A. Blais, Input-output theory for waveguide QED with an ensemble of inhomogeneous atoms, Phys. Rev. A 88, 043806 (2013).
- V. Paulisch, H. J. Kimble, and A. González-Tudela, Universal quantum computation in waveguide QED using decoherence free subspaces, New J. Phys. 18, 043041 (2016).
- H. Zheng, D. J. Gauthier, and H. U. Baranger, Waveguide QED: Many-body bound-state effects in coherent and Fock-state scattering from a two-level system, Phys. Rev. A 82, 063816 (2010).