Ultra-strong coupling regime in cavity quantum electrodynamics
- S. Ashhab, F. Nori
Qubit-oscillator systems in the ultrastrong-coupling regime and their potential for preparing nonclassical states
Phys. Rev. A 81, 042311 (2010). [PDF][Link][arXiv] - X. Cao, J.Q. You, H. Zheng, A.G. Kofman, F. Nori
Dynamics and quantum Zeno effect for a qubit in either a low- or high-frequency bath beyond the rotating-wave approximation
Phys. Rev. A 82, 022119 (2010). [PDF][Link][arXiv] - X. Cao, J.Q. You, H. Zheng, F. Nori
A qubit strongly coupled to a resonant cavity: asymmetry of the spontaneous emission spectrum beyond the rotating wave approximation
New Journal of Physics 13, 073002 (2011). [PDF][Link][arXiv] -
X. Cao, Q. Ai, C.P. Sun, F. Nori
The transition from quantum Zeno to anti-Zeno effects for a qubit in a cavity by varying the cavity frequency
Phys. Lett. A 376, pp. 349-357 (2012). [PDF][Link][arXiv] -
L. Garziano, R. Stassi, V. Macri, A.F. Kockum, S. Savasta, F. Nori
Multiphoton quantum Rabi oscillations in ultrastrong cavity QED
Phys. Rev. A 92, 063830 (2015). [PDF][Link][arXiv] -
M. Cirio, S. De Liberato, N. Lambert, F. Nori
Ground State Electroluminescence
Phys. Rev. Lett. 116, 113601 (2016). [PDF][Link][arXiv][Suppl. Info.] -
L. Garziano, V. Macri, R. Stassi, O. Di Stefano, F. Nori, S. Savasta
One Photon Can Simultaneously Excite Two or More Atoms
Phys. Rev. Lett. 117, 043601 (2016). [PDF][Link][arXiv][Suppl. Info.]
Featured in Physics, Editors' Suggestion -
R. Stassi, S. Savasta, L. Garziano, B. Spagnolo, F. Nori
Output field-quadrature measurements and squeezing in ultrastrong cavity-QED
New Journal of Physics 18, 123005 (2016). [PDF][Link][arXiv] -
O. Di Stefano, R. Stassi, L. Garziano, A.F. Kockum, S. Savasta, F. Nori
Feynman-diagrams approach to the quantum Rabi model for ultrastrong cavity QED: stimulated emission and reabsorption of virtual particles dressing a physical excitation
New Journal of Physics 19, 053010 (2017). [PDF][Link][arXiv] -
A.F. Kockum, A. Miranowicz, V. Macri, S. Savasta, F. Nori
Deterministic quantum nonlinear optics with single atoms and virtual photons
Phys. Rev. A 95, 063849 (2017). [PDF][Link][arXiv] -
A.F. Kockum, V. Macri, L. Garziano, S. Savasta, F. Nori
Frequency conversion in ultrastrong cavity QED
Scientific Reports 7, 5313 (2017). [PDF][Link][arXiv][Suppl. Info.] -
Z. Chen, Y. Wang, T. Li, L. Tian, Y. Qiu, K. Inomata, F. Yoshihara, S. Han, F. Nori, J.S. Tsai, J.Q. You
Single-photon-driven high-order sideband transitions in an ultrastrongly coupled circuit-quantum-electrodynamics system
Phys. Rev. A 96, 012325 (2017). [PDF][Link][arXiv] -
M. Cirio, K. Debnath, N. Lambert, F. Nori
Amplified Optomechanical Transduction of Virtual Radiation Pressure
Phys. Rev. Lett. 119, 053601 (2017). [PDF][Link][arXiv][Suppl. Info.] -
R. Stassi, V. Macri, A.F. Kockum, O. Di Stefano, A. Miranowicz, S. Savasta, F. Nori
Quantum Nonlinear Optics without Photons
Phys. Rev. A 96, 023818 (2017). [PDF][Link][arXiv] X. Wang, A. Miranowicz, H.R. Li, F. Nori
Observing pure effects of counter-rotating terms without ultrastrong coupling: A single photon can simultaneously excite two qubits
Phys. Rev. A 96, 063820 (2017). [PDF][Link][arXiv]V. Macri, A. Ridolfo, O. Di Stefano, A.F. Kockum, F. Nori, S. Savasta
Nonperturbative Dynamical Casimir Effect in Optomechanical Systems: Vacuum Casimir-Rabi Splittings
Phys. Rev. X 8, 011031 (2018). [PDF][Link][arXiv]W. Qin, A. Miranowicz, P.B. Li, X.Y. Lu, J.Q. You, F. Nori
Exponentially Enhanced Light-Matter Interaction, Cooperativities, and Steady-State Entanglement Using Parametric Amplification
Phys. Rev. Lett. 120, 093601 (2018). [PDF][Link][arXiv][Suppl. Info.]R. Stassi, F. Nori
Long-lasting quantum memories: Extending the coherence time of superconducting artificial atoms in the ultrastrong-coupling regime
Phys. Rev. A 97, 033823 (2018). [PDF][Link][arXiv]C.S. Munoz, F. Nori, S. De Liberato
Resolution of superluminal signalling in non-perturbative cavity quantum electrodynamics
Nature Communications 9, 1924 (2018). [PDF][Link][arXiv][Suppl. Info.][Reviewers' Comments]A. Settineri, V. Macrí, A. Ridolfo, O. Di Stefano, A.F. Kockum, F. Nori, S. Savasta
Dissipation and thermal noise in hybrid quantum systems in the ultrastrong-coupling regime
Phys. Rev. A 98, 053834 (2018). [PDF][Link][arXiv]O. Di Stefano, A.F. Kockum, A. Ridolfo, S. Savasta, F. Nori
Photodetection probability in quantum systems with arbitrarily strong light-matter interaction
Scientific Reports 8, 17825 (2018). [PDF][Link_1][Link_2][arXiv]V. Macri, F. Nori, A.F. Kockum
Simple preparation of Bell and Greenberger-Horne-Zeilinger states using ultrastrong-coupling circuit QED
Phys. Rev. A 98, 062327 (2018). [PDF][Link][arXiv]A.F. Kockum, A. Miranowicz, S. De Liberato, S. Savasta, F. Nori
Ultrastrong coupling between light and matter
Nature Reviews Physics 1, pp. 19–40 (2019). [PDF][Link][arXiv]
This is the only review (plus three technical reviews) of the first issue of this journal.O. Di Stefano, A. Settineri, V. Macri, A. Ridolfo, R. Stassi, A.F. Kockum, S. Savasta, F. Nori
Interaction of Mechanical Oscillators Mediated by the Exchange of Virtual Photon Pairs
Phys. Rev. Lett. 122, 030402 (2019). [PDF][Link][arXiv][Suppl. Info.]M. Cirio, N. Shammah, N. Lambert, S.D. Liberato, F. Nori
Multielectron Ground State Electroluminescence
Phys. Rev. Lett. 122, 190403 (2019). [PDF][Link][arXiv][Suppl. Info.]O. Di Stefano, A. Settineri, V. Macri, L. Garziano, R. Stassi, S. Savasta, F. Nori
Resolution of gauge ambiguities in ultrastrong-coupling cavity quantum electrodynamics
Nature Physics 15, pp. 803–808 (2019). [PDF][Link_1][Link_2][arXiv][Suppl. Info.]A. Settineri, V. Macri, L. Garziano, O. Di Stefano, F. Nori, S. Savasta
Conversion of mechanical noise into correlated photon pairs: Dynamical Casimir effect from an incoherent mechanical drive
Phys. Rev. A 100, 022501 (2019). [PDF][Link][arXiv]N. Lambert, S. Ahmed, M. Cirio, F. Nori
Modelling the ultra-strongly coupled spin-boson model with unphysical modes
Nature Communications 10, 3721 (2019). [PDF][Link_1][Link_2][arXiv][Suppl. Info.][Reviewers' Comments]S. Endo, Y. Matsuzaki, K. Kakuyanagi, S. Saito, N. Lambert, F. Nori
Projecting an ultra-strongly-coupled system in a non-energy-eigenbasis with a driven nonlinear resonator
Scientific Reports 10, 1751 (2020). [PDF][Link_1][Link_2][arXiv]V. Macri, F. Nori, S. Savasta, D. Zueco
Spin squeezing by one-photon–two-atom excitation processes in atomic ensembles
Phys. Rev. A 101, 053818 (2020). [PDF][Link][arXiv]R. Stassi, M. Cirio, F. Nori
Scalable quantum computer with superconducting circuits in the ultrastrong coupling regime
npj Quantum Information 6, 67 (2020). [PDF][Link_1][Link_2][arXiv]L. Garziano, A. Settineri, O. Di Stefano, S. Savasta, F. Nori
Gauge invariance of the Dicke and Hopfield models
Phys. Rev. A 102, 023718 (2020). [PDF][Link][arXiv]C.S. Munoz, A.F. Kockum, A. Miranowicz, F. Nori
Simulating ultrastrong-coupling processes breaking parity conservation in Jaynes-Cummings systems
Phys. Rev. A 102, 033716 (2020). [PDF][Link][arXiv]W. Qin, Y.H. Chen, X. Wang, A. Miranowicz, F. Nori
Strong spin squeezing induced by weak squeezing of light inside a cavity
Nanophotonics 9, pp. 4853–4868 (2020). [PDF][Link][arXiv]S. Savasta, O. Di Stefano, F. Nori
Thomas–Reiche–Kuhn (TRK) sum rule for interacting photons
Nanophotonics 10, pp. 465–476 (2020). [PDF][Link][arXiv]L. Garziano, A. Ridolfo, A. Miranowicz, G. Falci, S. Savasta, F. Nori
Atoms in separated resonators can jointly absorb a single photon
Scientific Reports 10, 21660 (2020). [PDF][Link_1][Link_2][arXiv]Y.H. Chen, W. Qin, X. Wang, A. Miranowicz, F. Nori
Shortcuts to Adiabaticity for the Quantum Rabi Model: Efficient Generation of Giant Entangled Cat States via Parametric Amplification
Phys. Rev. Lett. 126, 023602 (2021). [PDF][Link][arXiv][Suppl. Info.]A. Settineri, O. Di Stefano, D. Zueco, S. Hughes, S. Savasta, F. Nori
Gauge freedom, quantum measurements, and time-dependent interactions in cavity QED
Phys. Rev. Research 3, 023079 (2021). [PDF][Link][arXiv]F. Minganti, V. Macri, A. Settineri, S. Savasta, F. Nori
Dissipative state transfer and Maxwell's demon in single quantum trajectories: Excitation transfer between two noninteracting qubits via unbalanced dissipation rates
Phys. Rev. A 103, 052201 (2021). [PDF][Link][arXiv]S. Savasta, O. Di Stefano, A. Settineri, D. Zueco, S. Hughes, F. Nori
Gauge principle and gauge invariance in two-level systems
Phys. Rev. A 103, 053703 (2021). [PDF][Link][arXiv]X.L. Dong, P.B. Li, T. Liu, F. Nori
Unconventional Quantum Sound-Matter Interactions in Spin-Optomechanical-Crystal Hybrid Systems
Phys. Rev. Lett. 126, 203601 (2021). [PDF][Link][arXiv][Suppl. Info.]I.I. Arkhipov, F. Minganti, A. Miranowicz, F. Nori
Generating high-order quantum exceptional points in synthetic dimensions
Phys. Rev. A 104, 012205 (2021). [PDF][Link][arXiv]S. Hughes, A. Settineri, S. Savasta, F. Nori
Resonant Raman scattering of single molecules under simultaneous strong cavity coupling and ultrastrong optomechanical coupling in plasmonic resonators: Phonon-dressed polaritons
Phys. Rev. B 104, 045431 (2021). [PDF][Link][arXiv]W. Qin, A. Miranowicz, H. Jing, F. Nori
Generating Long-Lived Macroscopically Distinct Superposition States in Atomic Ensembles
Phys. Rev. Lett. 127, 093602 (2021). [PDF][Link][arXiv][Suppl. Info.]Y.H. Chen, W. Qin, R. Stassi, X. Wang, F. Nori
Fast binomial-code holonomic quantum computation with ultrastrong light-matter coupling
Phys. Rev. Research 3, 033275 (2021). [PDF][Link][arXiv]V. Macri, F. Minganti, A.F. Kockum, A. Ridolfo, S. Savasta, F. Nori
Revealing higher-order light and matter energy exchanges using quantum trajectories in ultrastrong coupling
Phys. Rev. A 105, 023720 (2022). [PDF][Link][arXiv]W. Salmon, C. Gustin, A. Settineri, O. Di Stefano, D. Zueco, S. Savasta, F. Nori, S. Hughes
Gauge-independent emission spectra and quantum correlations in the ultrastrong coupling regime of open system cavity-QED
Nanophotonics 11, pp. 1573-1590 (2022). [PDF][Link][arXiv][Erratum]A. Mercurio, V. Macri, C. Gustin, S. Hughes, S. Savasta, F. Nori
Regimes of cavity QED under incoherent excitation: From weak to deep strong coupling
Phys. Rev. Research 4, 023048 (2022). [PDF][Link][arXiv]Y.H. Chen, A. Miranowicz, X. Chen, Y. Xia, F. Nori
Enhanced-Fidelity Ultrafast Geometric Quantum Computation Using Strong Classical Drives
Phys. Rev. Applied 18, 064059 (2022). [PDF][Link][arXiv]S. Terradas-Brianso, C.A. Gonzalez-Gutierrez, F. Nori, L. Martín-Moreno, D. Zueco
Ultrastrong waveguide QED with giant atoms
Phys. Rev. A 106, 063717 (2022). [PDF][Link][arXiv]V. Macri, A. Mercurio, F. Nori, S. Savasta, C.S. Munoz
Spontaneous Scattering of Raman Photons from Cavity-QED Systems in the Ultrastrong Coupling Regime
Phys. Rev. Lett. 129, 273602 (2022). [PDF][Link][arXiv][Suppl. Info.]L.B. Fan, C.C. Shu, D. Dong, J. He, N.E. Henriksen, F. Nori
Quantum Coherent Control of a Single Molecular-Polariton Rotation
Phys. Rev. Lett. 130, 043604 (2023). [PDF][Link][arXiv][Suppl. Info.]B. Wang, J.M. Hu, V. Macri, Z.L. Xiang, F. Nori
Coherent resonant coupling between atoms and a mechanical oscillator mediated by cavity-vacuum fluctuations
Phys. Rev. Research 5, 013075 (2023). [PDF][Link][arXiv]E. Russo, A. Mercurio, F. Mauceri, R.L. Franco, F. Nori, S. Savasta, V. Macri
Optomechanical two-photon hopping
Phys. Rev. Research 5, 013221 (2023). [PDF][Link][arXiv]K. Akbari, W. Salmon, F. Nori, S. Hughes
Generalized Dicke model and gauge-invariant master equations for two atoms in ultrastrongly-coupled cavity quantum electrodynamics
Phys. Rev. Research 5, 033002 (2023). [PDF][Link][arXiv]X.L. Dong, P.B. Li, J.Q. Chen, F.L. Li, F. Nori
Exotic quantum light-matter interactions in bilayer square lattices
Phys. Rev. B 108, 045407 (2023). [PDF][Link][arXiv]S.P. Wang, A. Ridolfo, T. Li, S. Savasta, F. Nori, Y. Nakamura, J.Q. You
Probing the symmetry breaking of a light–matter system by an ancillary qubit
Nature Communications 14, 4397 (2023). [PDF][Link][arXiv][Suppl. Info.][Reviewers' Comments]F. Nori
Squeezed quantum hybrid system: Giant enhancement of magnon-phonon-spin interactions
Science China: Physics, Mechanics & Astronomy 66, 110331 (2023). [PDF][Link]R. Stassi, M. Cirio, K. Funo, J. Puebla, N. Lambert, F. Nori
Unveiling and veiling an entangled light-matter quantum state from the vacuum
Phys. Rev. Research 5, 043095 (2023). [PDF][Link][arXiv]P.C. Kuo, N. Lambert, M. Cirio, Y.T. Huang, F. Nori, Y.N. Chen
Kondo QED: The Kondo effect and photon trapping in a two-impurity Anderson model ultrastrongly coupled to light
Phys. Rev. Research 5, 043177 (2023). [PDF][Link][arXiv]O. Di Stefano, A. Settineri, V. Macri, L. Garziano, R. Stassi, S. Savasta, F. Nori
Gauge non-invariance due to material truncation in ultrastrong-coupling quantum electrodynamics
Nature Physics 20, pp. 379–380 (2023). [PDF][Link]Y.H. Chen, Y. Qiu, A. Miranowicz, N. Lambert, W. Qin, R. Stassi, Y. Xia, S.B. Zheng, F. Nori
Sudden change of the photon output field marks phase transitions in the quantum Rabi model
Communications Physics 7, 5 (2024). [PDF][Link][arXiv][Suppl. Info.]B. Wang, F. Nori, Z.L. Xiang
Quantum Phase Transitions in Optomechanical Systems
Phys. Rev. Lett. 132, 053601 (2024). [PDF][Link][arXiv][Suppl. Info.]S. Hughes, C. Gustin, F. Nori
Reconciling quantum and classical spectral theories of ultrastrong coupling: role of cavity bath coupling and gauge corrections
Optica Quantum 2, pp. 133-139 (2024). [PDF][Link][arXiv][Suppl. Info.][Erratum]
Editors' SuggestionW. Qin, A.F. Kockum, C.S. Munoz, A. Miranowicz, F. Nori
Quantum amplification and simulation of strong and ultrastrong coupling of light and matter
Physics Reports 1078, pp. 1-59 (2024). [PDF][Link][arXiv] (published online May 23, 2024)W. Qin, A. Miranowicz, F. Nori
Exponentially Improved Dispersive Qubit Readout with Squeezed Light
Phys. Rev. Lett. 133, 233605 (2024). [PDF][Link][arXiv][Suppl. Info.]K. Akbari, F. Nori, S. Hughes
Floquet Engineering the Quantum Rabi Model in the Ultrastrong Coupling Regime
Phys. Rev. Lett. 134, 063602 (2025). [PDF][Link][arXiv][Suppl. Info.]P.C. Kuo, S.L. Yang, N. Lambert, J.D. Lin, Y.T. Huang, F. Nori, Y.N. Chen
Non-Markovian skin effect
Phys. Rev. Research 7, L012068 (2025). [PDF][Link][arXiv][Suppl. Info.]D. Lamberto, O. Di Stefano, S. Hughes, F. Nori, S. Savasta
Quantum phase transitions in many-dipole light-matter systems
Phys. Rev. Research 7, 013271 (2025). [PDF][Link][arXiv]A. Tomonaga, R. Stassi, H. Mukai, F. Nori, F. Yoshihara, J.S. Tsai
Spectral properties of two superconducting artificial atoms coupled to a resonator in the ultrastrong coupling regime
Nature Communications 16, 5294 (2025). [PDF][Link][arXiv][Suppl. Info. PDF, PDF, CSV, PDF][Reviewers' Comments]Q. Bin, Y. Wu, J.H. Gao, A. Chen, F. Nori, X.Y. Lu
Cavity QED Based on Strongly Localized Modes: Exponentially Enhancing Single-Atom Cooperativity
Phys. Rev. Lett. 135, 103602 (2025). [PDF][Link][Suppl. Info.]S.P. Wang, A. Mercurio, A. Ridolfo, Y. Wang, M. Chen, W. Wang, Y. Liu, H. Sun, T. Li, F. Nori, S. Savasta, J.Q. You
Strong coupling between a single-photon and a two-photon Fock state
Nature Communications 16, 8730 (2025). [PDF][Link][arXiv][Suppl. Info.][Reviewers' Comments]
QIQT-2022
June 2022 pedagogical presentation to over 150 students at QIQT-2022: The “Summer School on Quantum Information and Quantum Technology – 2022”. URL: qiqt2022.org
Title: Quantum nonlinear optics with virtual and real photons in the ultrastrong coupling regime of cavity QED.
The pedagogical talk is about one hour and six minutes, plus 20 minutes for the Q&A period.
The video of the talk is available on YouTube at: https://youtu.be/T7Xa8qlvbIo/
Publications on this topic are available online here: https://dml.riken.jp/pub/
MP4 presentations on “Virtual photons in ultra-strongly coupled systems or Quantum Nonlinear Optics without Photons”:
PDF files of two brief talks on: virtual photons and the ultrastrong coupling between light and matter.