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We propose the analog-digital quantum simulation of the quantum Rabi and Dicke models using circuit quantum electrodynamics (QED).
On the Process of Space Quantization
Rabi, I. I · 1936
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Coherence in Spontaneous Radiation Processes
Dicke, R. H · 1954
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Comparison of quantum and semiclassical radiation theories with application to the beam maser
Jaynes, E. T. & Cummings, F. W · 1963
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Exact Solution for an N N -Molecule-Radiation-Field Hamiltonian
Tavis, M. & Cummings, F. W · 1968
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On the superradiant phase transition for molecules in a quantized radiation field: the Dicke maser model
Hepp, K. and Lieb, E. H · 1973
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Phase Transition in the Dicke Model of Superradiance
Wang, Y. K. & Hioe, F. T · 1973
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Higher order corrections to the Dicke superradiant phase transition
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Universal quantum simulators
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Cavity quantum electrodynamics for superconducting electrical circuits: An architecture for quantum computation
Blais, A., Huang, R.-S., Wallraff, A., Girvin, S. M. & Schoelkopf, R. J · 2004
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Charge insensitive qubit design derived from the Cooper pair box
Koch, J. et al · 2007
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Quantum information processing with circuit quantum electrodynamics
Blais, A. et al · 2007
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Berry, D. W., Ahokas, G., Cleve, R. & Sanders, B. C · 2007
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Lamata, L., León, J., Schätz, T. & Solano, E · 2007
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Sub-cycle switch-on of ultrastrong light-matter interaction
Günter, A. et al · 2009
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Niemczyk, T. et al · 2010
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Quantum Simulation of the Ultrastrong-Coupling Dynamics in Circuit Quantum Electrodynamics
Ballester, D., Romero, G., García-Ripoll, J. J., Deppe, F. & Solano, E · 2012
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Bloch, I., Dalibard, J. & Nascimbène, S · 2012
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Blatt, R. & Roos, C. F · 2012
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Photonic quantum simulators
Aspuru-Guzik, A. & Walther, P · 2012
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Quantum Simulation of Interacting Fermion Lattice Models in Trapped Ions
Casanova, J., Mezzacapo, A., Lamata, L. & Solano, E · 2012
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Digital Quantum Simulation of the Holstein Model in Trapped Ions
Mezzacapo, A., Casanova, J., Lamata, L. & Solano, E · 2012
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Quantum simulation of the Dirac equation
Gerritsma, R. et al · 2010
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Braak, D · 2011
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Wiebe, N., Berry, D. W., Høyer, P. & Sanders, B. C · 2011
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Crespi, A., Longhi, S. & Osellame, R · 2012
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Solution of the Dicke model for N=3
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Quantum Simulations of Relativistic Quantum Physics in Circuit QED
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Georgescu, I. M., Ashhab, S. & Nori, F · 2014
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