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2 changes: 1 addition & 1 deletion tutorials-v4/lectures/Lecture-10-cQED-dispersive-regime.md
Original file line number Diff line number Diff line change
Expand Up @@ -51,7 +51,7 @@ In a beautiful experiment by D. I. Schuster et al., the dispersive regime was us

### References

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


## Parameters
Expand Down
2 changes: 1 addition & 1 deletion tutorials-v4/lectures/Lecture-11-Charge-Qubits.md
Original file line number Diff line number Diff line change
Expand Up @@ -40,7 +40,7 @@ where $E_C$ is the charge energy, $E_J$ is the Josephson energy, and $\left| n\r
#### References

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


### Helper functions
Expand Down
8 changes: 4 additions & 4 deletions tutorials-v4/lectures/Lecture-2B-Single-Atom-Lasing.md
Original file line number Diff line number Diff line change
Expand Up @@ -63,11 +63,11 @@ in units where $\hbar = 1$.

References:

* [Yi Mu, C.M. Savage, Phys. Rev. A 46, 5944 (1992)](http://dx.doi.org/10.1103/PhysRevA.46.5944)
* [Yi Mu, C.M. Savage, Phys. Rev. A 46, 5944 (1992)](http://doi.org/10.1103/PhysRevA.46.5944)

* [D.A. Rodrigues, J. Imbers, A.D. Armour, Phys. Rev. Lett. 98, 067204 (2007)](http://dx.doi.org/10.1103/PhysRevLett.98.067204)
* [D.A. Rodrigues, J. Imbers, A.D. Armour, Phys. Rev. Lett. 98, 067204 (2007)](http://doi.org/10.1103/PhysRevLett.98.067204)

* [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)
* [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)


### Problem parameters
Expand Down Expand Up @@ -234,7 +234,7 @@ for idx, rho_ss in enumerate(rho_ss_sublist):

References:

* [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)
* [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)

```python
def calulcate_avg_photons(N, Gamma):
Expand Down
4 changes: 2 additions & 2 deletions tutorials-v4/lectures/Lecture-3A-Dicke-model.md
Original file line number Diff line number Diff line change
Expand Up @@ -49,7 +49,7 @@ $\displaystyle J_\pm = \sum_{i=1}^N \sigma_\pm^{(i)}$

### References

* [R.H. Dicke, Phys. Rev. 93, 99–110 (1954)](http://dx.doi.org/10.1103/PhysRev.93.99)
* [R.H. Dicke, Phys. Rev. 93, 99–110 (1954)](http://doi.org/10.1103/PhysRev.93.99)


## Setup problem in QuTiP
Expand Down Expand Up @@ -198,7 +198,7 @@ fig.tight_layout()

### References

* [Lambert et al., Phys. Rev. Lett. 92, 073602 (2004)](http://dx.doi.org/10.1103/PhysRevLett.92.073602).
* [Lambert et al., Phys. Rev. Lett. 92, 073602 (2004)](http://doi.org/10.1103/PhysRevLett.92.073602).

```python
def calulcate_entropy(M, N, g_vec):
Expand Down
Original file line number Diff line number Diff line change
Expand Up @@ -51,11 +51,11 @@ The regime $g$ is large compared with all other energy scales in the Hamiltonian

References:

* [P. Nataf et al., Phys. Rev. Lett. 104, 023601 (2010)](http://dx.doi.org/10.1103/PhysRevLett.104.023601)
* [P. Nataf et al., Phys. Rev. Lett. 104, 023601 (2010)](http://doi.org/10.1103/PhysRevLett.104.023601)

* [J. Casanova et al., Phys. Rev. Lett. 105, 26360 (2010)](http://dx.doi.org/10.1103/PhysRevLett.105.263603).
* [J. Casanova et al., Phys. Rev. Lett. 105, 26360 (2010)](http://doi.org/10.1103/PhysRevLett.105.263603).

* [S. Ashhab et al., Phys. Rev. A 81, 042311 (2010)](http://dx.doi.org/10.1103/PhysRevA.81.042311)
* [S. Ashhab et al., Phys. Rev. A 81, 042311 (2010)](http://doi.org/10.1103/PhysRevA.81.042311)
<!-- #endregion -->

<!-- #region -->
Expand Down
6 changes: 3 additions & 3 deletions tutorials-v4/lectures/Lecture-4-Correlation-Functions.md
Original file line number Diff line number Diff line change
Expand Up @@ -152,8 +152,8 @@ $L(\tau) = 2\langle Q(\tau)Q(0)\rangle - \langle Q(2\tau)Q(0)\rangle \leq 1$

### References

* [A. J. Leggett and A. Garg, Phys. Rev. Lett. 54, 857 (1985)](http://dx.doi.org/10.1103/PhysRevLett.54.857)
* [A. J. Leggett, J. Phys. Condens. Matter 14, R415 (2002)](http://dx.doi.org/10.1088/0953-8984/14/15/201)
* [A. J. Leggett and A. Garg, Phys. Rev. Lett. 54, 857 (1985)](http://doi.org/10.1103/PhysRevLett.54.857)
* [A. J. Leggett, J. Phys. Condens. Matter 14, R415 (2002)](http://doi.org/10.1088/0953-8984/14/15/201)
<!-- #endregion -->

```python
Expand Down Expand Up @@ -186,7 +186,7 @@ def leggett_garg(c_mat):

References:

* [N. Lambert, J.R. Johansson, F. Nori, Phys. Rev. B 82, 245421 (2011)](http://dx.doi.org/10.1103/PhysRevB.84.245421).
* [N. Lambert, J.R. Johansson, F. Nori, Phys. Rev. B 82, 245421 (2011)](http://doi.org/10.1103/PhysRevB.84.245421).
<!-- #endregion -->

```python
Expand Down
2 changes: 1 addition & 1 deletion tutorials-v4/time-evolution/006_photon_birth_death.md
Original file line number Diff line number Diff line change
Expand Up @@ -27,7 +27,7 @@ We aim to reproduce the experimental results from:



> 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).
> 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).


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.
Expand Down
2 changes: 1 addition & 1 deletion tutorials-v4/visualization/qubism-and-schmidt-plots.md
Original file line number Diff line number Diff line change
Expand Up @@ -21,7 +21,7 @@ For more information about QuTiP see http://qutip.org.

For more information about Qubism see:
* J. Rodriguez-Laguna, P. Migdał, M. Ibanez Berganza, M. Lewenstein, G. Sierra,
[Qubism: self-similar visualization of many-body wavefunctions](http://dx.doi.org/10.1088/1367-2630/14/5/053028), New J. Phys. 14 053028 (2012), [arXiv:1112.3560](http://arxiv.org/abs/1112.3560),
[Qubism: self-similar visualization of many-body wavefunctions](http://doi.org/10.1088/1367-2630/14/5/053028), New J. Phys. 14 053028 (2012), [arXiv:1112.3560](http://arxiv.org/abs/1112.3560),
* [its video abstract](https://www.youtube.com/watch?v=8fPAzOziTZo),
* [C++ and Mathematica code on GitHub](https://github.com/stared/qubism).

Expand Down
2 changes: 1 addition & 1 deletion tutorials-v5/lectures/Lecture-10-cQED-dispersive-regime.md
Original file line number Diff line number Diff line change
Expand Up @@ -51,7 +51,7 @@ In a beautiful experiment by D. I. Schuster et al., the dispersive regime was us

### References

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


## Parameters
Expand Down
2 changes: 1 addition & 1 deletion tutorials-v5/lectures/Lecture-11-Charge-Qubits.md
Original file line number Diff line number Diff line change
Expand Up @@ -40,7 +40,7 @@ where $E_C$ is the charge energy, $E_J$ is the Josephson energy, and $\left| n\r
#### References

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


### Helper functions
Expand Down
8 changes: 4 additions & 4 deletions tutorials-v5/lectures/Lecture-2B-Single-Atom-Lasing.md
Original file line number Diff line number Diff line change
Expand Up @@ -63,11 +63,11 @@ in units where $\hbar = 1$.

References:

* [Yi Mu, C.M. Savage, Phys. Rev. A 46, 5944 (1992)](http://dx.doi.org/10.1103/PhysRevA.46.5944)
* [Yi Mu, C.M. Savage, Phys. Rev. A 46, 5944 (1992)](http://doi.org/10.1103/PhysRevA.46.5944)

* [D.A. Rodrigues, J. Imbers, A.D. Armour, Phys. Rev. Lett. 98, 067204 (2007)](http://dx.doi.org/10.1103/PhysRevLett.98.067204)
* [D.A. Rodrigues, J. Imbers, A.D. Armour, Phys. Rev. Lett. 98, 067204 (2007)](http://doi.org/10.1103/PhysRevLett.98.067204)

* [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)
* [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)


### Problem parameters
Expand Down Expand Up @@ -234,7 +234,7 @@ for idx, rho_ss in enumerate(rho_ss_sublist):

References:

* [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)
* [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)

```python
def calulcate_avg_photons(N, Gamma):
Expand Down
4 changes: 2 additions & 2 deletions tutorials-v5/lectures/Lecture-3A-Dicke-model.md
Original file line number Diff line number Diff line change
Expand Up @@ -49,7 +49,7 @@ $\displaystyle J_\pm = \sum_{i=1}^N \sigma_\pm^{(i)}$

### References

* [R.H. Dicke, Phys. Rev. 93, 99–110 (1954)](http://dx.doi.org/10.1103/PhysRev.93.99)
* [R.H. Dicke, Phys. Rev. 93, 99–110 (1954)](http://doi.org/10.1103/PhysRev.93.99)


## Setup problem in QuTiP
Expand Down Expand Up @@ -198,7 +198,7 @@ fig.tight_layout()

### References

* [Lambert et al., Phys. Rev. Lett. 92, 073602 (2004)](http://dx.doi.org/10.1103/PhysRevLett.92.073602).
* [Lambert et al., Phys. Rev. Lett. 92, 073602 (2004)](http://doi.org/10.1103/PhysRevLett.92.073602).

```python
def calulcate_entropy(M, N, g_vec):
Expand Down
Original file line number Diff line number Diff line change
Expand Up @@ -51,11 +51,11 @@ The regime $g$ is large compared with all other energy scales in the Hamiltonian

References:

* [P. Nataf et al., Phys. Rev. Lett. 104, 023601 (2010)](http://dx.doi.org/10.1103/PhysRevLett.104.023601)
* [P. Nataf et al., Phys. Rev. Lett. 104, 023601 (2010)](http://doi.org/10.1103/PhysRevLett.104.023601)

* [J. Casanova et al., Phys. Rev. Lett. 105, 26360 (2010)](http://dx.doi.org/10.1103/PhysRevLett.105.263603).
* [J. Casanova et al., Phys. Rev. Lett. 105, 26360 (2010)](http://doi.org/10.1103/PhysRevLett.105.263603).

* [S. Ashhab et al., Phys. Rev. A 81, 042311 (2010)](http://dx.doi.org/10.1103/PhysRevA.81.042311)
* [S. Ashhab et al., Phys. Rev. A 81, 042311 (2010)](http://doi.org/10.1103/PhysRevA.81.042311)
<!-- #endregion -->

<!-- #region -->
Expand Down
6 changes: 3 additions & 3 deletions tutorials-v5/lectures/Lecture-4-Correlation-Functions.md
Original file line number Diff line number Diff line change
Expand Up @@ -157,8 +157,8 @@ $L(\tau) = 2\langle Q(\tau)Q(0)\rangle - \langle Q(2\tau)Q(0)\rangle \leq 1$

### References

* [A. J. Leggett and A. Garg, Phys. Rev. Lett. 54, 857 (1985)](http://dx.doi.org/10.1103/PhysRevLett.54.857)
* [A. J. Leggett, J. Phys. Condens. Matter 14, R415 (2002)](http://dx.doi.org/10.1088/0953-8984/14/15/201)
* [A. J. Leggett and A. Garg, Phys. Rev. Lett. 54, 857 (1985)](http://doi.org/10.1103/PhysRevLett.54.857)
* [A. J. Leggett, J. Phys. Condens. Matter 14, R415 (2002)](http://doi.org/10.1088/0953-8984/14/15/201)
<!-- #endregion -->

```python
Expand Down Expand Up @@ -191,7 +191,7 @@ def leggett_garg(c_mat):

References:

* [N. Lambert, J.R. Johansson, F. Nori, Phys. Rev. B 82, 245421 (2011)](http://dx.doi.org/10.1103/PhysRevB.84.245421).
* [N. Lambert, J.R. Johansson, F. Nori, Phys. Rev. B 82, 245421 (2011)](http://doi.org/10.1103/PhysRevB.84.245421).
<!-- #endregion -->

```python
Expand Down
2 changes: 1 addition & 1 deletion tutorials-v5/time-evolution/006_photon_birth_death.md
Original file line number Diff line number Diff line change
Expand Up @@ -27,7 +27,7 @@ We aim to reproduce the experimental results from:



> 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).
> 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).


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.
Expand Down
2 changes: 1 addition & 1 deletion tutorials-v5/visualization/qubism-and-schmidt-plots.md
Original file line number Diff line number Diff line change
Expand Up @@ -21,7 +21,7 @@ For more information about QuTiP see http://qutip.org.

For more information about Qubism see:
* J. Rodriguez-Laguna, P. Migdał, M. Ibanez Berganza, M. Lewenstein, G. Sierra,
[Qubism: self-similar visualization of many-body wavefunctions](http://dx.doi.org/10.1088/1367-2630/14/5/053028), New J. Phys. 14 053028 (2012), [arXiv:1112.3560](http://arxiv.org/abs/1112.3560),
[Qubism: self-similar visualization of many-body wavefunctions](http://doi.org/10.1088/1367-2630/14/5/053028), New J. Phys. 14 053028 (2012), [arXiv:1112.3560](http://arxiv.org/abs/1112.3560),
* [its video abstract](https://www.youtube.com/watch?v=8fPAzOziTZo),
* [C++ and Mathematica code on GitHub](https://github.com/stared/qubism).

Expand Down
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