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Virtual photons in the ground state of a dissipative system
Open accessAbstract
Much of the novel physics predicted to be observable in the ultrastrong light–matter coupling regime rests on the hybridisation between states with different numbers of excitations, leading to a population of virtual photons in the system’s ground state. In this article, exploiting an exact diagonalisation approach, we derive both analytical and numerical results for the population of virtual photons in presence of arbitrary losses. Specialising our results to the case of Lorentzian resonances we then show that the virtual photon population is only quantitatively affected by losses, even when those become the dominant energy scale. Our results demonstrate most of the ultrastrong-coupling phenomenology can be observed in loss-dominated systems which are not even in the standard strong coupling regime. We thus open the possibility to investigate ultrastrong-coupling physics to platforms that were previously considered unsuitable due to their large losses.
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A spinning particle is not perfectly pointlike; in particular, its center of charge and center of mass do not coincide.
“We can add that a spinning particle is not perfectly pointlike. In particular, its center of charge and center of mass do not coincide [91-96].”
From Zitterbewegung of massless particles (2022) · cites this paper as [94]
The Introduction discusses virtual photons in ultrastrongly coupled light–matter systems, and the Methods section calculates their population; neither addresses whether a spinning particle is pointlike or whether its centers of charge and mass coincide. Searches for those centers and for electron spin, displacement, and finite size found no relevant passage in our copy (page numbers unavailable). (LLM, conf=0.76)
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Circuit quantum electrodynamics in the ultrastrong-coupling regime
Niemczyk, T., Deppe, F., Huebl, H., Menzel, E. P., Hocke, F., Schwarz, M. J., Garcia-Ripoll, J. J., Zueco, D., Hümmer, T., Solano, E., et al. (2010) · Nature Physics · doi:10.1038/nphys1730 · Cited by 1,324
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Research works printed but not linked: 69
- Ciuti, C., Bastard, G. & Carusotto, I. Quantum vacuum properties of the intersubband cavity polariton field. Phys. Rev. B 72, 115303 (2005). · DOI
- Anappara, A. A. et al. Signatures of the ultrastrong light-matter coupling regime. Phys. Rev. B 79, 201303 (2009). · DOI
- Baust, A. et al. Ultrastrong coupling in two-resonator circuit QED. Phys. Rev. B 93, 214501 (2016). · DOI
- Muravev, V. M., Andreev, I. V., Kukushkin, I. V., Schmult, S. & Dietsche, W. Observation of hybrid plasmon-photon modes in microwave transmission of coplanar microresonators. Phys. Rev. B 83, 075309 (2011). · DOI
- Scalari, G. et al. Ultrastrong coupling of the cyclotron transition of a 2D electron gas in a THz metamaterial. Science 335, 1323–1326 (2012). · DOI
- Geiser, M. et al. Ultrastrong coupling regime and plasmon polaritons in parabolic semiconductor quantum wells. Phys. Rev. Lett. 108, 106402 (2012). · DOI
- Schwartz, T., Hutchison, J. A., Genet, C. & Ebbesen, T. W. Reversible switching of ultrastrong light-molecule coupling. Phys. Rev. Lett. 106, 196405 (2011). · DOI
- Porer, M. et al. Nonadiabatic switching of a photonic band structure: ultrastrong light-matter coupling and slow-down of light. Phys. Rev. B 85, 081302 (2012). · DOI
- Askenazi, B. et al. Ultra-strong lightmatter coupling for designer reststrahlen band. New. J. Phys. 16, 043029 (2014). · DOI
- Gubbin, C. R., Maier, S. A. & Kéna-Cohen, S. Low-voltage polariton electroluminescence from an ultrastrongly coupled organic light-emitting diode. App. Phys. Lett. 104, 233302 (2014). · DOI
- Gambino, S. et al. Exploring light matter interaction phenomena under ultrastrong coupling regime. ACS Photonics 1, 1042–1048 (2014). · DOI
- Maissen, C. et al. Ultrastrong coupling in the near field of complementary split-ring resonators. Phys. Rev. B 90, 205309 (2014). · DOI
- Zhang, X., Zou, C.-L., Jiang, L. & Tang, H. X. Strongly coupled magnons and cavity microwave photons. Phys. Rev. Lett. 113, 156401 (2014). · DOI
- Goryachev, M. et al. High-cooperativity cavity QED with magnons at microwave frequencies. Phys. Rev. Appl. 2, 054002 (2014). · DOI
- Hagenmüller, D. & Ciuti, C. Cavity QED of the graphene cyclotron transition. Phys. Rev. Lett. 109, 267403 (2012). · DOI
- De Liberato, S. Perspectives for gapped bilayer graphene polaritonics. Phys. Rev. B 92, 125433 (2015). · DOI
- Lambert, N., Emary, C. & Brandes, T. Entanglement and the phase transition in single-mode superradiance. Phys. Rev. Lett. 92, 073602 (2004). · DOI
- Ashhab, S. Superradiance transition in a system with a single qubit and a single oscillator. Phys. Rev. A 87, 013826 (2013). · DOI
- Vukics, A., Grießer, T. & Domokos, P. Elimination of the -square problem from cavity QED. Phys. Rev. Lett. 112, 073601 (2014). · DOI
- Feist, J. & Garcia-Vidal, F. J. Extraordinary exciton conductance induced by strong coupling. Phys. Rev. Lett. 114, 196402 (2015). · DOI
- Orgiu, E. et al. Conductivity in organic semiconductors hybridized with the vacuum field. Nature 14, 1123–1129 (2015). · DOI
- De Liberato, S. Light-matter decoupling in the deep strong coupling regime: The breakdown of the purcell effect. Phys. Rev. Lett. 112, 016401 (2014). · DOI
- García-Ripoll, J. J., Peropadre, B. & De Liberato, S. Light-matter decoupling and A 2 term detection in superconducting circuits. Sci. Rep. 5, 125433 (2015). · DOI
- Bamba, M. & Ogawa, T. Laser under ultrastrong electromagnetic interaction with matter. Phys. Rev. A 93, 033811 (2016). · DOI
- Kockum, A. F., Miranowicz, A., Macrí, V., Savasta, S. & Nori, F. Deterministic quantum nonlinear optics with single atoms and virtual photons. Phys. Rev. A 95, 063849 (2017). · DOI
- Garziano, L., Ridolfo, A., De Liberato, S. & Savasta, S. Cavity QED in the ultrastrong coupling regime: photon bunching from the emission of individual dressed qubits. ACS Photonics 4, 2345–2351 (2017). · DOI
- Hutchison, J. A., Schwartz, T., Genet, C., Devaux, E. & Ebbesen, T. W. Modifying chemical landscapes by coupling to vacuum fields. Angew. Chem. 124, 1592–1596 (2012). · DOI
- Hutchison, J. A. et al. Tuning the work-function via strong coupling. Adv. Mater. 25, 2481–2485 (2013). · DOI
- Galego, J., Garcia-Vidal, F. J. & Feist, J. Cavity-induced modifications of molecular structure in the strong coupling regime. Phys. Rev. X 5, 041022 (2015).
- Cwik, J. A., Kirton, P., De Liberato, S. & Keeling, J. Self-consistent molecular adaptation induced by strong coupling. Phys. Rev. A. 93, 033840 (2016). · DOI
- Cortese, E., Lagoudakis, P. G. & De Liberato, S. Collective optomechanical effects in cavity quantum electrodynamics. Phys. Rev. Lett. 119, 043604 (2017). · DOI
- Yoshihara, F. et al. Superconducting qubit-oscillator circuit beyond the ultrastrong-coupling regime. Nat. Phys. 13, 44–47 (2017). · DOI
- Cirio, M., De Liberato, S., Lambert, N. & Nori, F. Ground state electroluminescence. Phys. Rev. Lett. 116, 113601 (2016). · DOI
- Hagenmüller, D. All-optical dynamical casimir effect in a three-dimensional terahertz photonic band gap. Phys. Rev. B 93, 235309 (2016). · DOI
- Dodonov, V. V. & Dodonov, A. V. QED effects in a cavity with a time-dependent thin semiconductor slab excited by laser pulses. J. Phys. B 39, 749–766 (2006). · DOI
- De Liberato, S., Ciuti, C. & Carusotto, I. Quantum vacuum radiation spectra from a semiconductor microcavity with a Time-modulated vacuum rabi frequency. Phys. Rev. Lett. 98, 103602 (2007). · DOI
- De Liberato, S., Gerace, D., Carusotto, I. & Ciuti, C. Extracavity quantum vacuum radiation from a single qubit. Phys. Rev. A. 80, 053810 (2009). · DOI
- Agnesi, A. et al. MIR: an experiment for the measurement of the dynamical Casimir effect. J. Phys. Conf. 161, 012028 (2009). · DOI
- Faccio, D. & Carusotto, I. Dynamical Casimir effect in optically modulated cavities. Europ. Phys. Lett. 96, 24006 (2011).
- Carusotto, I., De Liberato, S., Gerace, D. & Ciuti, C. Back-reaction effects of quantum vacuum in cavity quantum electrodynamics. Phys. Rev. A 85, 023805 (2012). · DOI
- Auer, A. & Burkard, G. Entangled photons from the polariton vacuum in a switchable optical cavity. Phys. Rev. B 85, 235140 (2012). · DOI
- Fedortchenko, S. et al. Output squeezed radiation from dispersive ultrastrong light-matter coupling. Phys. Rev. A 94, 013821 (2016). · DOI
- Stassi, R., Ridolfo, A., Di Stefano, O., Hartmann, M. J. & Savasta, S. Spontaneous conversion from virtual to real photons in the ultrastrong-coupling regime. Phys. Rev. Lett. 110, 243601 (2013). · DOI
- Garziano, L., Ridolfo, A., Stassi, R., Di Stefano, O. & Savasta, S. Switching on and off of ultrastrong light-matter interaction: Photon statistics of quantum vacuum radiation. Phys. Rev. A 88, 063829 (2013). · DOI
- Lambrecht, A., Jaekel, M.-T. & Reynaud, S. Motion induced radiation from a vibrating cavity. Phys. Rev. Lett. 77, 615–618 (1996). · DOI
- Johansson, J. R., Johansson, G., Wilson, C. M. & Nori, F. Dynamical casimir effect in a superconducting coplanar waveguide. Phys. Rev. Lett. 103, 147003 (2009). · DOI
- Nation, P. D., Johansson, J. R., Blencowe, M. P. & Nori, F. Stimulating uncertainty: Amplifying the quantum vacuum with superconducting circuits. Rev. Mod. Phys. 84, 1–24 (2012). · DOI
- Felicetti, S. et al. Dynamical Casimir effect entangles artificial atoms. Phys. Rev. Lett. 113, 093602 (2014). · DOI
- Stassi, R., De Liberato, S., Garziano, L., Spagnolo, B. & Savasta, S. Quantum control and long-range quantum correlations in dynamical Casimir arrays. Phys. Rev. A 92, 013830 (2015). · DOI
- Finazzi, S. & Carusotto, I. Quantum vacuum emission in a nonlinear optical medium illuminated by a strong laser pulse. Phys. Rev. A 87, 023803 (2013). · DOI
- Jacquet, M. & König, F. Quantum vacuum emission from a refractive-index front. Phys. Rev. A. 92, 023851 (2015). · DOI
- Steinhauser, J. Observation of quantum Hawking radiation and its entanglement in an analogue black hole. Nat. Phys. 12, 959–965 (2016). · DOI
- Günter, G. et al. Sub-cycle switch-on of ultrastrong light-matter interaction. Nature 458, 178–181 (2009). · DOI
- Peropadre, B., Forn-Diaz, P., Solano, E. & Garcia-Ripoll, J. J. Switchable ultrastrong coupling in circuit QED. Phys. Rev. Lett. 105, 023601 (2010). · DOI
- Wilson, C. M. et al. Observation of the dynamical Casimir effect in a superconducting circuit. Nature 479, 376–379 (2011). · DOI · Paper page
- Scalari, G. et al. Superconducting complementary metasurfaces for THz ultrastrong light-matter coupling. New J. Phys. 16, 033005 (2014).
- Beaudoin, F., Gambetta, J. M. & Blais, A. Dissipation and ultrastrong coupling in circuit QED. Phys. Rev. A 84, 043832 (2011). · DOI
- Mamba, M. & Ogawa, T. System-environment coupling derived by Maxwell’s boundary conditions from the weak to the ultrastrong light-matter-coupling regime. Phys. Rev. A 88, 013814 (2013). · DOI
- Mamba, M. & Ogawa, T. Recipe for the Hamiltonian of system-environment coupling applicable to the ultrastrong-light-matter-interaction regime. Phys. Rev. A 89, 023817 (2014). · DOI
- Mi, X., Cady, J., Zajac, D. M., Deelman, P. W. & Petta, J. R. Strong coupling of a single electron in silicon to a microwave photon. Science 355, 156–158 (2017). · DOI
- Toida, H., Nakajima, T. & Komiyama, S. Vacuum rabi splitting in a semiconductor circuit QED system. Phys. Rev. Lett. 110, 066802 (2013). · DOI
- Wallraff, A., Stockklauser, A., Ihn, T., Petta, J. R. & Blais, A. Comment on vacuum rabi splitting in a semiconductor circuit QED system. Phys. Rev. Lett. 111, 249701 (2013). · DOI
- Merlin, R. Orthogonality catastrophes in quantum electrodynamics. Phys. Rev. A 95, 023802 (2017). · DOI
- Huttner, B. & Barnett, S. M. Quantization of the electromagnetic field in dielectrics. Phys. Rev. A 46, 4306–4322 (1992). · DOI
- Hopfield, J. J. Theory of the contribution of excitons to the complex dielectric constant of crystals. Phys. Rev. 112, 1555–1567 (1958). · DOI
- Gubbin, C. R., Maier, S. A. & De Liberato, S. Real-space Hopfield diagonalization of inhomogeneous dispersive media. Phys. Rev. B 94, 205301 (2016). · DOI
- Fano, U. Effects of configuration interaction on intensities and phase shifts. Phys. Rev. 124, 1866–1878 (1956). · DOI
- Rzazewski, K., Wodkiewicz, K. & Zacowicz, W. Phase transitions, two-level atoms, and the A 2 term. Phys. Rev. Lett. 35, 432–434 (1975). · DOI
- Bamba, M. & Ogawa, T. Stability of polarizable materials against superradiant phase transition. Phys. Rev. A 90, 063825 (2014). · DOI
Cited by
Sorted by citations
Zitterbewegung of massless particles
Silenko, A. J. (2022) · Physical Review A · doi:10.1103/physreva.105.062211 · Cited by 11
Metadata
- Authors
- De Liberato, S.
- ORCID
- De Liberato, Simone
- Venue
- Nature Communications
- Published
- 2017-11-13
- Volume
- 8
- Issue
- 1
- Pages
- 1465-1465
- ISSN
- 2041-1723 (ISSN-L)
- PMC
- PMC5684391
- OpenAlex
- W2757021171
- Cited by
- 108
- References
- 1
- Citations by year
- 2026: 9 · 2025: 12 · 2024: 6 · 2023: 12 · 2022: 15 · 2021: 14 · 2020: 13 · 2019: 12 · 2018: 13 · 2017: 2
- FWCI
- 5.36
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Locations
- Nature Communications (publishedVersion, cc-by)
- Europe PMC (PubMed Central) (publishedVersion, cc-by)
- PubMed Central (publishedVersion, cc-by)
- PubMed (publishedVersion)
- ePrints Soton (University of Southampton) (acceptedVersion)
- arXiv (Cornell University) (submittedVersion)
- RePEc: Research Papers in Economics (submittedVersion)
- DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
- DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion)
- arXiv (Cornell University)
- Funders
- Royal Society
- Engineering and Physical Sciences Research Council (EP/M003183/1)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Strong Light-Matter Interactions
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Mechanical and Optical Resonators
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Plasmonic and Surface Plasmon Research
- Keywords
- virtual photons, ultrastrong coupling, dissipative systems, ground state, loss, Lorentzian resonance, exact diagonalization, strong coupling
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