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tutorials-v4/time-evolution/006_photon_birth_death.md

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> Gleyzes et al., "Quantum jumps of light recording the birth and death of a photon in a cavity", [Nature **446**,297 (2007)](http://dx.doi.org/10.1038/nature05589).
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> Gleyzes et al., "Quantum jumps of light recording the birth and death of a photon in a cavity", [Nature **446**,297 (2007)](http://doi.org/10.1038/nature05589).
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In particular, we will simulate the creation and annihilation of photons inside an optical cavity due to the thermal environment when the initial cavity is a single-photon Fock state $ |1\rangle$, as presented in Fig. 3 from the article.

tutorials-v5/lectures/Lecture-10-cQED-dispersive-regime.md

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### References
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* [D. I. Schuster et al., Resolving photon number states in a superconducting circuit, Nature 445, 515 (2007)](http://dx.doi.org/10.1038/nature05461)
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* [D. I. Schuster et al., Resolving photon number states in a superconducting circuit, Nature 445, 515 (2007)](http://doi.org/10.1038/nature05461)
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## Parameters

tutorials-v5/lectures/Lecture-11-Charge-Qubits.md

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#### References
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* [J. Koch et al, Phys. Rec. A 76, 042319 (2007)](http://link.aps.org/doi/10.1103/PhysRevA.76.042319)
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* [Y.A. Pashkin et al, Quantum Inf Process 8, 55 (2009)](http://dx.doi.org/10.1007/s11128-009-0101-5)
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* [Y.A. Pashkin et al, Quantum Inf Process 8, 55 (2009)](http://doi.org/10.1007/s11128-009-0101-5)
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### Helper functions

tutorials-v5/lectures/Lecture-2B-Single-Atom-Lasing.md

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References:
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* [Yi Mu, C.M. Savage, Phys. Rev. A 46, 5944 (1992)](http://dx.doi.org/10.1103/PhysRevA.46.5944)
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* [Yi Mu, C.M. Savage, Phys. Rev. A 46, 5944 (1992)](http://doi.org/10.1103/PhysRevA.46.5944)
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* [D.A. Rodrigues, J. Imbers, A.D. Armour, Phys. Rev. Lett. 98, 067204 (2007)](http://dx.doi.org/10.1103/PhysRevLett.98.067204)
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* [D.A. Rodrigues, J. Imbers, A.D. Armour, Phys. Rev. Lett. 98, 067204 (2007)](http://doi.org/10.1103/PhysRevLett.98.067204)
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* [S. Ashhab, J.R. Johansson, A.M. Zagoskin, F. Nori, New J. Phys. 11, 023030 (2009)](http://dx.doi.org/10.1088/1367-2630/11/2/023030)
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* [S. Ashhab, J.R. Johansson, A.M. Zagoskin, F. Nori, New J. Phys. 11, 023030 (2009)](http://doi.org/10.1088/1367-2630/11/2/023030)
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### Problem parameters
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* [S. Ashhab, J.R. Johansson, A.M. Zagoskin, F. Nori, New J. Phys. 11, 023030 (2009)](http://dx.doi.org/10.1088/1367-2630/11/2/023030)
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* [S. Ashhab, J.R. Johansson, A.M. Zagoskin, F. Nori, New J. Phys. 11, 023030 (2009)](http://doi.org/10.1088/1367-2630/11/2/023030)
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```python
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def calulcate_avg_photons(N, Gamma):

tutorials-v5/lectures/Lecture-3A-Dicke-model.md

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### References
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* [R.H. Dicke, Phys. Rev. 93, 99–110 (1954)](http://dx.doi.org/10.1103/PhysRev.93.99)
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* [R.H. Dicke, Phys. Rev. 93, 99–110 (1954)](http://doi.org/10.1103/PhysRev.93.99)
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## Setup problem in QuTiP
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### References
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* [Lambert et al., Phys. Rev. Lett. 92, 073602 (2004)](http://dx.doi.org/10.1103/PhysRevLett.92.073602).
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* [Lambert et al., Phys. Rev. Lett. 92, 073602 (2004)](http://doi.org/10.1103/PhysRevLett.92.073602).
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```python
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def calulcate_entropy(M, N, g_vec):

tutorials-v5/lectures/Lecture-3B-Jaynes-Cumming-model-with-ultrastrong-coupling.md

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References:
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* [P. Nataf et al., Phys. Rev. Lett. 104, 023601 (2010)](http://dx.doi.org/10.1103/PhysRevLett.104.023601)
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* [P. Nataf et al., Phys. Rev. Lett. 104, 023601 (2010)](http://doi.org/10.1103/PhysRevLett.104.023601)
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* [J. Casanova et al., Phys. Rev. Lett. 105, 26360 (2010)](http://dx.doi.org/10.1103/PhysRevLett.105.263603).
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* [J. Casanova et al., Phys. Rev. Lett. 105, 26360 (2010)](http://doi.org/10.1103/PhysRevLett.105.263603).
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* [S. Ashhab et al., Phys. Rev. A 81, 042311 (2010)](http://dx.doi.org/10.1103/PhysRevA.81.042311)
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* [S. Ashhab et al., Phys. Rev. A 81, 042311 (2010)](http://doi.org/10.1103/PhysRevA.81.042311)
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<!-- #endregion -->
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<!-- #region -->

tutorials-v5/lectures/Lecture-4-Correlation-Functions.md

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### References
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* [A. J. Leggett and A. Garg, Phys. Rev. Lett. 54, 857 (1985)](http://dx.doi.org/10.1103/PhysRevLett.54.857)
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* [A. J. Leggett, J. Phys. Condens. Matter 14, R415 (2002)](http://dx.doi.org/10.1088/0953-8984/14/15/201)
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* [A. J. Leggett and A. Garg, Phys. Rev. Lett. 54, 857 (1985)](http://doi.org/10.1103/PhysRevLett.54.857)
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* [A. J. Leggett, J. Phys. Condens. Matter 14, R415 (2002)](http://doi.org/10.1088/0953-8984/14/15/201)
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```python
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* [N. Lambert, J.R. Johansson, F. Nori, Phys. Rev. B 82, 245421 (2011)](http://dx.doi.org/10.1103/PhysRevB.84.245421).
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* [N. Lambert, J.R. Johansson, F. Nori, Phys. Rev. B 82, 245421 (2011)](http://doi.org/10.1103/PhysRevB.84.245421).
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```python

tutorials-v5/time-evolution/006_photon_birth_death.md

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> Gleyzes et al., "Quantum jumps of light recording the birth and death of a photon in a cavity", [Nature **446**,297 (2007)](http://dx.doi.org/10.1038/nature05589).
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> Gleyzes et al., "Quantum jumps of light recording the birth and death of a photon in a cavity", [Nature **446**,297 (2007)](http://doi.org/10.1038/nature05589).
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In particular, we will simulate the creation and annihilation of photons inside an optical cavity due to the thermal environment when the initial cavity is a single-photon Fock state $ |1\rangle$, as presented in Fig. 3 from the article.

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