Abstract

Recently Rodriguez-Lara et al. [Opt. Express 21(10), 12888 (2013)] proposed a classical simulation of the dynamics of the nonlinear Rabi model by propagating classical light fields in a set of two photonic lattices. However, the nonlinear Rabi model has already been rigorously proven to be undefined by Lo [Quantum Semiclass. Opt. 10, L57 (1998)]. Hence, the proposed classical simulation is actually not applicable to the nonlinear Rabi model and the simulation results are completely invalid.

© 2013 Optical Society of America

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References

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  1. A. Crespi, S. Longhi, R. Osellame, “Photonic Realization of the Quantum Rabi Model,” Phys. Rev. Lett. 108, 163601 (2012).
    [CrossRef] [PubMed]
  2. R. M. Rodriguez-Lara, F. Soto-Eguibar, A. Z. Cardenas, H. M. Moya-Cessa, “A classical simulation of nonlinear Jaynes-Cummings and Rabi models in photonic lattices,” Opt. Express 21(10), 12888–12898 (2013).
    [CrossRef] [PubMed]
  3. C. F. Lo, “Nonlinear multiquantum Jaynes-Cummings model with counter-rotating terms,” Quantum Semiclass. Opt. 10L57–L61 (1998).
    [CrossRef]
  4. C. F. Lo, K. L. Liu, K. M. Ng, “The multiquantum Jaynes-Cummings model with the counter-rotating terms,” Europhys. Lett. 42(1), 1–6 (1998).
    [CrossRef]
  5. C. F. Lo, K. L. Liu, K. M. Ng, “The multiquantum intensity-dependent Jaynes-Cummings model with the counterrotating terms,” Physica A 265557–564 (1999).
    [CrossRef]
  6. C. F. Lo, K. L. Liu, “The multiquantum q-deformed Jaynes-Cummings model with the counter-rotating terms,” Physica A 271, 405–410 (1999).
    [CrossRef]
  7. K. M. Ng, C. F. Lo, K. L. Liu, “Exact eigenstates of the two-photon Jaynes-Cummings model with the counter-rotating term,” Eur. Phys. J. D 6, 119–126 (1999).
  8. K. M. Ng, C. F. Lo, K. L. Liu, “Exact eigenstates of the intensity-dependent Jaynes-Cummings model with the counter-rotating term,” Physica A 275, 463–474 (2000).
    [CrossRef]
  9. K.M. Ng, C.F. Lo, K.L. Liu, “Exact dynamics of the two-mode two-photon Jaynes-Cummings model without the rotating-wave approximation,” Proceedings of the International Conference on Frontiers in Quantum Physics (July 9–11, 1997), S.C. Lim, R. Abd-Shukor, K.H. Kwek, eds. (Springer-Verlag, Singapore, 1998) 285–290.

2013 (1)

2012 (1)

A. Crespi, S. Longhi, R. Osellame, “Photonic Realization of the Quantum Rabi Model,” Phys. Rev. Lett. 108, 163601 (2012).
[CrossRef] [PubMed]

2000 (1)

K. M. Ng, C. F. Lo, K. L. Liu, “Exact eigenstates of the intensity-dependent Jaynes-Cummings model with the counter-rotating term,” Physica A 275, 463–474 (2000).
[CrossRef]

1999 (3)

C. F. Lo, K. L. Liu, K. M. Ng, “The multiquantum intensity-dependent Jaynes-Cummings model with the counterrotating terms,” Physica A 265557–564 (1999).
[CrossRef]

C. F. Lo, K. L. Liu, “The multiquantum q-deformed Jaynes-Cummings model with the counter-rotating terms,” Physica A 271, 405–410 (1999).
[CrossRef]

K. M. Ng, C. F. Lo, K. L. Liu, “Exact eigenstates of the two-photon Jaynes-Cummings model with the counter-rotating term,” Eur. Phys. J. D 6, 119–126 (1999).

1998 (2)

C. F. Lo, “Nonlinear multiquantum Jaynes-Cummings model with counter-rotating terms,” Quantum Semiclass. Opt. 10L57–L61 (1998).
[CrossRef]

C. F. Lo, K. L. Liu, K. M. Ng, “The multiquantum Jaynes-Cummings model with the counter-rotating terms,” Europhys. Lett. 42(1), 1–6 (1998).
[CrossRef]

Cardenas, A. Z.

Crespi, A.

A. Crespi, S. Longhi, R. Osellame, “Photonic Realization of the Quantum Rabi Model,” Phys. Rev. Lett. 108, 163601 (2012).
[CrossRef] [PubMed]

Liu, K. L.

K. M. Ng, C. F. Lo, K. L. Liu, “Exact eigenstates of the intensity-dependent Jaynes-Cummings model with the counter-rotating term,” Physica A 275, 463–474 (2000).
[CrossRef]

K. M. Ng, C. F. Lo, K. L. Liu, “Exact eigenstates of the two-photon Jaynes-Cummings model with the counter-rotating term,” Eur. Phys. J. D 6, 119–126 (1999).

C. F. Lo, K. L. Liu, K. M. Ng, “The multiquantum intensity-dependent Jaynes-Cummings model with the counterrotating terms,” Physica A 265557–564 (1999).
[CrossRef]

C. F. Lo, K. L. Liu, “The multiquantum q-deformed Jaynes-Cummings model with the counter-rotating terms,” Physica A 271, 405–410 (1999).
[CrossRef]

C. F. Lo, K. L. Liu, K. M. Ng, “The multiquantum Jaynes-Cummings model with the counter-rotating terms,” Europhys. Lett. 42(1), 1–6 (1998).
[CrossRef]

Liu, K.L.

K.M. Ng, C.F. Lo, K.L. Liu, “Exact dynamics of the two-mode two-photon Jaynes-Cummings model without the rotating-wave approximation,” Proceedings of the International Conference on Frontiers in Quantum Physics (July 9–11, 1997), S.C. Lim, R. Abd-Shukor, K.H. Kwek, eds. (Springer-Verlag, Singapore, 1998) 285–290.

Lo, C. F.

K. M. Ng, C. F. Lo, K. L. Liu, “Exact eigenstates of the intensity-dependent Jaynes-Cummings model with the counter-rotating term,” Physica A 275, 463–474 (2000).
[CrossRef]

K. M. Ng, C. F. Lo, K. L. Liu, “Exact eigenstates of the two-photon Jaynes-Cummings model with the counter-rotating term,” Eur. Phys. J. D 6, 119–126 (1999).

C. F. Lo, K. L. Liu, K. M. Ng, “The multiquantum intensity-dependent Jaynes-Cummings model with the counterrotating terms,” Physica A 265557–564 (1999).
[CrossRef]

C. F. Lo, K. L. Liu, “The multiquantum q-deformed Jaynes-Cummings model with the counter-rotating terms,” Physica A 271, 405–410 (1999).
[CrossRef]

C. F. Lo, “Nonlinear multiquantum Jaynes-Cummings model with counter-rotating terms,” Quantum Semiclass. Opt. 10L57–L61 (1998).
[CrossRef]

C. F. Lo, K. L. Liu, K. M. Ng, “The multiquantum Jaynes-Cummings model with the counter-rotating terms,” Europhys. Lett. 42(1), 1–6 (1998).
[CrossRef]

Lo, C.F.

K.M. Ng, C.F. Lo, K.L. Liu, “Exact dynamics of the two-mode two-photon Jaynes-Cummings model without the rotating-wave approximation,” Proceedings of the International Conference on Frontiers in Quantum Physics (July 9–11, 1997), S.C. Lim, R. Abd-Shukor, K.H. Kwek, eds. (Springer-Verlag, Singapore, 1998) 285–290.

Longhi, S.

A. Crespi, S. Longhi, R. Osellame, “Photonic Realization of the Quantum Rabi Model,” Phys. Rev. Lett. 108, 163601 (2012).
[CrossRef] [PubMed]

Moya-Cessa, H. M.

Ng, K. M.

K. M. Ng, C. F. Lo, K. L. Liu, “Exact eigenstates of the intensity-dependent Jaynes-Cummings model with the counter-rotating term,” Physica A 275, 463–474 (2000).
[CrossRef]

K. M. Ng, C. F. Lo, K. L. Liu, “Exact eigenstates of the two-photon Jaynes-Cummings model with the counter-rotating term,” Eur. Phys. J. D 6, 119–126 (1999).

C. F. Lo, K. L. Liu, K. M. Ng, “The multiquantum intensity-dependent Jaynes-Cummings model with the counterrotating terms,” Physica A 265557–564 (1999).
[CrossRef]

C. F. Lo, K. L. Liu, K. M. Ng, “The multiquantum Jaynes-Cummings model with the counter-rotating terms,” Europhys. Lett. 42(1), 1–6 (1998).
[CrossRef]

Ng, K.M.

K.M. Ng, C.F. Lo, K.L. Liu, “Exact dynamics of the two-mode two-photon Jaynes-Cummings model without the rotating-wave approximation,” Proceedings of the International Conference on Frontiers in Quantum Physics (July 9–11, 1997), S.C. Lim, R. Abd-Shukor, K.H. Kwek, eds. (Springer-Verlag, Singapore, 1998) 285–290.

Osellame, R.

A. Crespi, S. Longhi, R. Osellame, “Photonic Realization of the Quantum Rabi Model,” Phys. Rev. Lett. 108, 163601 (2012).
[CrossRef] [PubMed]

Rodriguez-Lara, R. M.

Soto-Eguibar, F.

Eur. Phys. J. D (1)

K. M. Ng, C. F. Lo, K. L. Liu, “Exact eigenstates of the two-photon Jaynes-Cummings model with the counter-rotating term,” Eur. Phys. J. D 6, 119–126 (1999).

Europhys. Lett. (1)

C. F. Lo, K. L. Liu, K. M. Ng, “The multiquantum Jaynes-Cummings model with the counter-rotating terms,” Europhys. Lett. 42(1), 1–6 (1998).
[CrossRef]

Opt. Express (1)

Phys. Rev. Lett. (1)

A. Crespi, S. Longhi, R. Osellame, “Photonic Realization of the Quantum Rabi Model,” Phys. Rev. Lett. 108, 163601 (2012).
[CrossRef] [PubMed]

Physica A (3)

K. M. Ng, C. F. Lo, K. L. Liu, “Exact eigenstates of the intensity-dependent Jaynes-Cummings model with the counter-rotating term,” Physica A 275, 463–474 (2000).
[CrossRef]

C. F. Lo, K. L. Liu, K. M. Ng, “The multiquantum intensity-dependent Jaynes-Cummings model with the counterrotating terms,” Physica A 265557–564 (1999).
[CrossRef]

C. F. Lo, K. L. Liu, “The multiquantum q-deformed Jaynes-Cummings model with the counter-rotating terms,” Physica A 271, 405–410 (1999).
[CrossRef]

Quantum Semiclass. Opt. (1)

C. F. Lo, “Nonlinear multiquantum Jaynes-Cummings model with counter-rotating terms,” Quantum Semiclass. Opt. 10L57–L61 (1998).
[CrossRef]

Other (1)

K.M. Ng, C.F. Lo, K.L. Liu, “Exact dynamics of the two-mode two-photon Jaynes-Cummings model without the rotating-wave approximation,” Proceedings of the International Conference on Frontiers in Quantum Physics (July 9–11, 1997), S.C. Lim, R. Abd-Shukor, K.H. Kwek, eds. (Springer-Verlag, Singapore, 1998) 285–290.

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H ^ = 1 2 ω 0 σ ^ z + ω a ^ a ^ + g ( a ^ a ^ a + a ^ a ^ a ^ ) σ ^ x ,

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