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Ultrastrong-coupling between two-level systems and radiation is important for both fundamental and applied quantum electrodynamics (QED).
Fine Structure of the Hydrogen Atom. III
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On the superradiant phase transition for molecules in a quantized radiation field: the dicke maser model
Hepp, K. & Lieb, E. H · 1973
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Vector Potential Versus Field Intensity
Fried, Z · 1973
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Frequency shifts near an interface: inadequacy of two-level atomic models
Barton, G · 1974
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Phase Transitions, Two-Level Atoms, and the 𝐀 2 {\bf A}^{2} -Term
Rzażewski, K., Wódkiewicz, K. & Żakowicz, W · 1975
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Optical Resonance and Two-level Atoms (Courier Corporation, 1975)
Allen, L. & Eberly, J. H · 1975
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Choice of Gauge in Two-Photon Transitions: 1 s − 2 s 1s-2s Transition in Atomic Hydrogen
Bassani, F., Forney, J. J. & Quattropani, A · 1977
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Choice of gauge in optical transitions
Forney, J. J., Quattropani, A. & Bassani, F · 1977
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Question of Gauge: Nonresonant Two-Photon Absorption
Kobe, D. H · 1978
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Gauge invariance and experimental processes— An experimentalist’s point of view
Yang, K.-H · 1982
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Unifying the 𝐩 ⋅ 𝐀 {\bf p}\cdot{\bf A} and 𝐝 ⋅ 𝐄 {\bf d}\cdot{\bf E} interactions in photodetector theory
Drummond, P. D · 1987
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The Jaynes-Cummings model thermal revivals
Arroyo-Correa, G. & Sanchez-Mondragon, J. J · 1990
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Gauge invariant QED with arbitrary mixing of 𝐩 ⋅ 𝐀 {\bf p}\cdot{\bf A} and 𝐝 ⋅ 𝐄 {\bf d}\cdot{\bf E} interactions
Baxter, C., Babiker, M. & Loudon, R · 1990
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The Jaynes-Cummings Model
Shore, B. W. & Knight, P. L · 1993
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Photons and Atoms: Introduction to Quantum Electrodynamics (Wiley-VCH, Weinheim, 1997), 1st edn
Cohen-Tannoudji, C., Dupont-Roc, J. & Grynberg, G · 1997
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Jaynes-Cummings Model and Trapping of Atoms
Li, Y., Wang, G. & Wu, Y · 1998
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Quantum Computation and Quantum Information (Cambridge University Press, Cambridge ; New York, 2000)
Nielsen, M. A. & Chuang, I. L · 2000
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Gauge invariance in non–relativistic electrodynamics
Woolley, R. G · 2000
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Lectures on Quantum Mechanics (Dover Publications Inc., Mineola, NY, 2003)
Dirac, P. A. M · 2003
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Optical Selection Rules and Phase-Dependent Adiabatic State Control in a Superconducting Quantum Circuit
Liu, Y.-x., You, J. Q., Wei, L. F., Sun, C. P. & Nori, F · 2005
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Coulomb interactions, gauge invariance, and phase transitions of the Dicke model
Keeling, J · 2007
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Fluxonium: Single Cooper-Pair Circuit Free of Charge Offsets
Manucharyan, V. E., Koch, J., Glazman, L. I. & Devoret, M. H · 2009
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Ultrastrong coupling regime of cavity QED with phase-biased flux qubits
Bourassa, J. et al · 2009
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Observation of the Bloch-Siegert Shift in a Qubit-Oscillator System in the Ultrastrong Coupling Regime
Forn-Díaz, P. et al · 2010
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Circuit quantum electrodynamics in the ultrastrong-coupling regime
Collapse and revivals in the Jaynes-Cummings model: An analysis based on the Mollow transformation
Berman, P. R. & Ooi, C. H. R · 2014
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Dynamical Casimir Effect Entangles Artificial Atoms
Felicetti, S. et al · 2014
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Elimination of the 𝐀 {\bf A} -Square Problem from Cavity QED
Vukics, A., Grießer, T. & Domokos, P · 2014
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Creation of quantum error correcting codes in the ultrastrong coupling regime
Kyaw, T. H., Herrera-Martí, D. A., Solano, E., Romero, G. & Kwek, L.-C · 2015
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Spectroscopic Evidence of the Aharonov-Casher Effect in a Cooper Pair Box
Bell, M., Zhang, W., Ioffe, L. & Gershenson, M · 2016
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Ultrastrong coupling in two-resonator circuit QED
Baust, A. et al · 2016
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Niemczyk, T. et al · 2010
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Switchable Ultrastrong Coupling in Circuit QED
Peropadre, B., Forn-Díaz, P., Solano, E. & García-Ripoll, J. J · 2010
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No-go theorem for superradiant quantum phase transitions in cavity QED and counter-example in circuit QED
Nataf, P. & Ciuti, C · 2010
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Qubit-oscillator systems in the ultrastrong-coupling regime and their potential for preparing nonclassical states
Ashhab, S. & Nori, F · 2010
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Integrability of the Rabi Model
Braak, D · 2011
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Superradiant Phase Transitions and the Standard Description of Circuit QED
Viehmann, O., von Delft, J. & Marquardt, F · 2011
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Ultrafast Quantum Gates in Circuit QED
Romero, G., Ballester, D., Wang, Y. M., Scarani, V. & Solano, E · 2012
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Entangling polaritons via dynamical Casimir effect in circuit quantum electrodynamics
Rossatto, D. Z. et al · 2016
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Superradiant Phase Transition in a Superconducting Circuit in Thermal Equilibrium
Bamba, M., Inomata, K. & Nakamura, Y · 2016
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Single-photon-driven high-order sideband transitions in an ultrastrongly coupled circuit-quantum-electrodynamics system
Chen, Z. et al · 2017
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Superconducting qubit–oscillator circuit beyond the ultrastrong-coupling regime
Yoshihara, F. et al · 2017
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Multi-mode ultra-strong coupling in circuit quantum electrodynamics
Bosman, S. J. et al · 2017
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Characteristic spectra of circuit quantum electrodynamics systems from the ultrastrong- to the deep-strong-coupling regime
Yoshihara, F. et al · 2017
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Resilience of the quantum Rabi model in circuit QED
Manucharyan, V. E., Baksic, A. & Ciuti, C · 2017
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Inversion of Qubit Energy Levels in Qubit-Oscillator Circuits in the Deep-Strong-Coupling Regime
Yoshihara, F. et al · 2018
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A master equation for strongly interacting dipoles
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Cavity quantum electrodynamics in the nonperturbative regime
De Bernardis, D., Jaako, T. & Rabl, P · 2018
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Breakdown of gauge invariance in ultrastrong-coupling cavity QED
De Bernardis, D., Pilar, P., Jaako, T., De Liberato, S. & Rabl, P · 2018
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Resolution of superluminal signalling in non-perturbative cavity quantum electrodynamics
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