- Open Access
Excitable quantum systems: The bosonic avalanche laser
Phys. Rev. A 114, 013723 – Published 28 July, 2026
DOI: https://doi.org/10.1103/xn1v-mwvm
Abstract
We investigate the dynamics of a lasing system driven by a current of bosonic (quasi-)particles via a dissipative three-mode mixing process. A semiclassical analysis of this system predicts distinct dynamical regimes, where both the cavity mode and the gain medium can undergo lasing transitions. Of particular interest is an intermediate self-pulsing phase that exhibits the characteristics of an excitable system and converts random input signals into separated, quasi-periodic pulses at the output. By performing exact Monte Carlo simulations, we extend this analysis into the quantum regime and show that despite being dominated by huge bosonic particle number fluctuations, this effect survives even for rather low average photon numbers. Our system thus represents an intriguing model of an excitable quantum many-body system, with practical relevance for quantum detectors or autonomous quantum machines. As an illustration, we discuss the realization of this system with superconducting quantum circuits and its application as a number-resolved avalanche detector for microwave photons.
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References (37)
- H. Gang, T. Ditzinger, C. Z. Ning, and H. Haken, Stochastic resonance without external periodic force, Phys. Rev. Lett. 71, 807 (1993).
- A. S. Pikovsky and J. Kurths, Coherence resonance in a noise-driven excitable system, Phys. Rev. Lett. 78, 775 (1997).
- B. Lindner, J. Garcia-Ojalvo, A. Neiman, and L. Schimansky-Geier, Effects of noise in excitable systems, Phys. Rep. 392, 321 (2004).
- T. Wellens, V. Shatokhin, and A. Buchleitner, Stochastic resonance, Rep. Prog. Phys. 67, 45 (2004).
- R. Löfstedt and S. N. Coppersmith, Quantum stochastic resonance, Phys. Rev. Lett. 72, 1947 (1994).
- M. Grifoni and P. Hänggi, Coherent and incoherent quantum stochastic resonance, Phys. Rev. Lett. 76, 1611 (1996).
- M. Grifoni, L. Hartmann, S. Berchtold, and P. Hänggi, Quantum tunneling and stochastic resonance, Phys. Rev. E 53, 5890 (1996).
- R. S. Whitney, M. Clusel, and T. Ziman, Temperature can enhance coherent oscillations at a Landau-Zener transition, Phys. Rev. Lett. 107, 210402 (2011).
- M. Xie, B. Fan, X. He, and Q. Chen, Interference effect in optomechanical stochastic resonance, Phys. Rev. E 98, 052202 (2018).
- R. Hussein, S. Kohler, J. C. Bayer, T. Wagner, and R. J. Haug, Spectral properties of stochastic resonance in quantum transport, Phys. Rev. Lett. 125, 206801 (2020).
- Y. Kato and H. Nakao, Quantum coherence resonance, New J. Phys. 23, 043018 (2021).
- M. Hänze, G. McMurtrie, S. Baumann, L. Malavolti, S. N. Coppersmith, and S. Loth, Quantum stochastic resonance of individual Fe atoms, Sci. Adv. 7, eabg2616 (2021).
- Z.-C. Li, B. Fan, L. Zhou, and W. Zhang, Stochastic resonance of spinor condensates in optical cavity, Sci. China Phys. Mech. Astron. 67, 233011 (2024).
- S. F. Huelga and M. B. Plenio, Stochastic resonance phenomena in quantum many-body systems, Phys. Rev. Lett. 98, 170601 (2007).
- A. Rivas, N. P. Oxtoby, and S. F. Huelga, Stochastic resonance phenomena in spin chains, Eur. Phys. J. B 69, 51 (2009).
- E. Mompo, M. Ruiz-Garcia, M. Carretero, H. T. Grahn, Y. Zhang, and L. L. Bonilla, Coherence resonance and stochastic resonance in an excitable semiconductor superlattice, Phys. Rev. Lett. 121, 086805 (2018).
- L. L. Bonilla, M. Carretero, and E. Mompó, Nonlinear charge transport and excitable phenomena in semiconductor superlattices, Entropy 26, 672 (2024).
- T. C. H. Liew, M. M. Glazov, K. V. Kavokin, I. A. Shelykh, M. A. Kaliteevski, and A. V. Kavokin, Proposal for a bosonic cascade laser, Phys. Rev. Lett. 110, 047402 (2013).
- M. A. Kaliteevskii and K. A. Ivanov, Double-boson stimulated terahertz emission in a polariton cascade laser, Tech. Phys. Lett. 39, 91 (2013).
- M. A. Kaliteevski, K. A. Ivanov, G. Pozina, and A. J. Gallant, Single and double bosonic stimulation of THz emission in polaritonic systems, Sci. Rep. 4, 5444 (2014).
- A. Kavokin, T. C. H. Liew, C. Schneider, and S. Höfling, Bosonic lasers: The state of the art (review article), Low Temp. Phys. 42, 323 (2016).
- T. C. H. Liew, Y. G. Rubo, A. S. Sheremet, S. D. Liberato, I. A. Shelykh, F. P. Laussy, and A. V. Kavokin, Quantum statistics of bosonic cascades, New J. Phys. 18, 023041 (2016).
- L. Garbe, Y. Minoguchi, J. Huber, and P. Rabl, The bosonic skin effect: Boundary condensation in asymmetric transport, SciPost Phys. 16, 029 (2024).
- Y. Minoguchi, J. Huber, L. Garbe, A. Gambassi, and P. Rabl, Unified interface model for dissipative transport of bosons and fermions, Phys. Rev. Lett. 134, 207102 (2025).
- More precisely, the probability that an injection takes place in the interval obeys a Gaussian distribution: . In the limit , particles are injected exactly at times , thereby realizing a deterministic injection at a rate . In practice, we found that values of were enough to achieve convergence.
- At the Lindbladian level, this would be realized by a jump operator: .
- L. Frunzio, A. Wallraff, D. Schuster, J. Majer, and R. Schoelkopf, Fabrication and characterization of superconducting circuit QED devices for quantum computation, IEEE Trans. Appl. Supercond. 15, 860 (2005).
- M. Reagor, H. Paik, G. Catelani, L. Sun, C. Axline, E. Holland, I. M. Pop, N. A. Masluk, T. Brecht, L. Frunzio, M. H. Devoret, L. Glazman, and R. J. Schoelkopf, Reaching 10 ms single photon lifetimes for superconducting aluminum cavities, Appl. Phys. Lett. 102, 192604 (2013).
- A. Somoroff, Q. Ficheux, R. A. Mencia, H. Xiong, R. Kuzmin, and V. E. Manucharyan, Millisecond coherence in a superconducting qubit, Phys. Rev. Lett. 130, 267001 (2023).
- N. E. Frattini, U. Vool, S. Shankar, A. Narla, K. M. Sliwa, and M. H. Devoret, 3-wave mixing Josephson dipole element, Appl. Phys. Lett. 110, 222603 (2017).
- A. Mari, A. Farace, and V. Giovannetti, Quantum optomechanical piston engines powered by heat, J. Phys. B: At. Mol. Opt. Phys. 48, 175501 (2015).
- M. Serra-Garcia, A. Foehr, M. Molerón, J. Lydon, C. Chong, and C. Daraio, Mechanical autonomous stochastic heat engine, Phys. Rev. Lett. 117, 010602 (2016).
- F. Carollo, K. Brandner, and I. Lesanovsky, Nonequilibrium many-body quantum engine driven by time-translation symmetry breaking, Phys. Rev. Lett. 125, 240602 (2020).
- J. Antonio Marín Guzmán, P. Erker, S. Gasparinetti, M. Huber, and N. Yunger Halpern, Key issues review: Useful autonomous quantum machines, Rep. Prog. Phys. 87, 122001 (2024).
- L. Garbe and P. Rabl, Dataset for ‘Excitable quantum systems: the bosonic avalanche laser’ [Data set], Zenodo, 2025, https://doi.org/10.5281/zenodo.19256239.
- D. Gillespie, Exact stochastic simulation of coupled chemical reactions, J. Phys. Chem. 81, 2340 (1977).
- C. Gardiner and P. Zoller, Quantum Noise (Springer, New York, 2004).