Bloch equation generator

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Levels = 2

Rotating wave

Wave mixing (beta)

Rabi Frequencies

|1⟩ → |2⟩

|1⟩ → |3⟩

|1⟩ → |4⟩

|1⟩ → |5⟩

|1⟩ → |6⟩

|1⟩ → |7⟩

|1⟩ → |8⟩

|1⟩ → |9⟩

|1⟩ → |10⟩

|1⟩ → |11⟩

|1⟩ → |12⟩

|1⟩ → |13⟩

|1⟩ → |14⟩

|1⟩ → |15⟩

|1⟩ → |16⟩

|1⟩ → |17⟩

|1⟩ → |18⟩

|1⟩ → |19⟩

|1⟩ → |20⟩

|1⟩ → |21⟩

|1⟩ → |22⟩

|1⟩ → |23⟩

|1⟩ → |24⟩

|1⟩ → |25⟩

|1⟩ → |26⟩

|1⟩ → |27⟩

|1⟩ → |28⟩

|1⟩ → |29⟩

|1⟩ → |30⟩

|2⟩ → |3⟩

|2⟩ → |4⟩

|2⟩ → |5⟩

|2⟩ → |6⟩

|2⟩ → |7⟩

|2⟩ → |8⟩

|2⟩ → |9⟩

|2⟩ → |10⟩

|2⟩ → |11⟩

|2⟩ → |12⟩

|2⟩ → |13⟩

|2⟩ → |14⟩

|2⟩ → |15⟩

|2⟩ → |16⟩

|2⟩ → |17⟩

|2⟩ → |18⟩

|2⟩ → |19⟩

|2⟩ → |20⟩

|2⟩ → |21⟩

|2⟩ → |22⟩

|2⟩ → |23⟩

|2⟩ → |24⟩

|2⟩ → |25⟩

|2⟩ → |26⟩

|2⟩ → |27⟩

|2⟩ → |28⟩

|2⟩ → |29⟩

|2⟩ → |30⟩

|3⟩ → |4⟩

|3⟩ → |5⟩

|3⟩ → |6⟩

|3⟩ → |7⟩

|3⟩ → |8⟩

|3⟩ → |9⟩

|3⟩ → |10⟩

|3⟩ → |11⟩

|3⟩ → |12⟩

|3⟩ → |13⟩

|3⟩ → |14⟩

|3⟩ → |15⟩

|3⟩ → |16⟩

|3⟩ → |17⟩

|3⟩ → |18⟩

|3⟩ → |19⟩

|3⟩ → |20⟩

|3⟩ → |21⟩

|3⟩ → |22⟩

|3⟩ → |23⟩

|3⟩ → |24⟩

|3⟩ → |25⟩

|3⟩ → |26⟩

|3⟩ → |27⟩

|3⟩ → |28⟩

|3⟩ → |29⟩

|3⟩ → |30⟩

|4⟩ → |5⟩

|4⟩ → |6⟩

|4⟩ → |7⟩

|4⟩ → |8⟩

|4⟩ → |9⟩

|4⟩ → |10⟩

|4⟩ → |11⟩

|4⟩ → |12⟩

|4⟩ → |13⟩

|4⟩ → |14⟩

|4⟩ → |15⟩

|4⟩ → |16⟩

|4⟩ → |17⟩

|4⟩ → |18⟩

|4⟩ → |19⟩

|4⟩ → |20⟩

|4⟩ → |21⟩

|4⟩ → |22⟩

|4⟩ → |23⟩

|4⟩ → |24⟩

|4⟩ → |25⟩

|4⟩ → |26⟩

|4⟩ → |27⟩

|4⟩ → |28⟩

|4⟩ → |29⟩

|4⟩ → |30⟩

|5⟩ → |6⟩

|5⟩ → |7⟩

|5⟩ → |8⟩

|5⟩ → |9⟩

|5⟩ → |10⟩

|5⟩ → |11⟩

|5⟩ → |12⟩

|5⟩ → |13⟩

|5⟩ → |14⟩

|5⟩ → |15⟩

|5⟩ → |16⟩

|5⟩ → |17⟩

|5⟩ → |18⟩

|5⟩ → |19⟩

|5⟩ → |20⟩

|5⟩ → |21⟩

|5⟩ → |22⟩

|5⟩ → |23⟩

|5⟩ → |24⟩

|5⟩ → |25⟩

|5⟩ → |26⟩

|5⟩ → |27⟩

|5⟩ → |28⟩

|5⟩ → |29⟩

|5⟩ → |30⟩

|6⟩ → |7⟩

|6⟩ → |8⟩

|6⟩ → |9⟩

|6⟩ → |10⟩

|6⟩ → |11⟩

|6⟩ → |12⟩

|6⟩ → |13⟩

|6⟩ → |14⟩

|6⟩ → |15⟩

|6⟩ → |16⟩

|6⟩ → |17⟩

|6⟩ → |18⟩

|6⟩ → |19⟩

|6⟩ → |20⟩

|6⟩ → |21⟩

|6⟩ → |22⟩

|6⟩ → |23⟩

|6⟩ → |24⟩

|6⟩ → |25⟩

|6⟩ → |26⟩

|6⟩ → |27⟩

|6⟩ → |28⟩

|6⟩ → |29⟩

|6⟩ → |30⟩

|7⟩ → |8⟩

|7⟩ → |9⟩

|7⟩ → |10⟩

|7⟩ → |11⟩

|7⟩ → |12⟩

|7⟩ → |13⟩

|7⟩ → |14⟩

|7⟩ → |15⟩

|7⟩ → |16⟩

|7⟩ → |17⟩

|7⟩ → |18⟩

|7⟩ → |19⟩

|7⟩ → |20⟩

|7⟩ → |21⟩

|7⟩ → |22⟩

|7⟩ → |23⟩

|7⟩ → |24⟩

|7⟩ → |25⟩

|7⟩ → |26⟩

|7⟩ → |27⟩

|7⟩ → |28⟩

|7⟩ → |29⟩

|7⟩ → |30⟩

|8⟩ → |9⟩

|8⟩ → |10⟩

|8⟩ → |11⟩

|8⟩ → |12⟩

|8⟩ → |13⟩

|8⟩ → |14⟩

|8⟩ → |15⟩

|8⟩ → |16⟩

|8⟩ → |17⟩

|8⟩ → |18⟩

|8⟩ → |19⟩

|8⟩ → |20⟩

|8⟩ → |21⟩

|8⟩ → |22⟩

|8⟩ → |23⟩

|8⟩ → |24⟩

|8⟩ → |25⟩

|8⟩ → |26⟩

|8⟩ → |27⟩

|8⟩ → |28⟩

|8⟩ → |29⟩

|8⟩ → |30⟩

|9⟩ → |10⟩

|9⟩ → |11⟩

|9⟩ → |12⟩

|9⟩ → |13⟩

|9⟩ → |14⟩

|9⟩ → |15⟩

|9⟩ → |16⟩

|9⟩ → |17⟩

|9⟩ → |18⟩

|9⟩ → |19⟩

|9⟩ → |20⟩

|9⟩ → |21⟩

|9⟩ → |22⟩

|9⟩ → |23⟩

|9⟩ → |24⟩

|9⟩ → |25⟩

|9⟩ → |26⟩

|9⟩ → |27⟩

|9⟩ → |28⟩

|9⟩ → |29⟩

|9⟩ → |30⟩

|10⟩ → |11⟩

|10⟩ → |12⟩

|10⟩ → |13⟩

|10⟩ → |14⟩

|10⟩ → |15⟩

|10⟩ → |16⟩

|10⟩ → |17⟩

|10⟩ → |18⟩

|10⟩ → |19⟩

|10⟩ → |20⟩

|10⟩ → |21⟩

|10⟩ → |22⟩

|10⟩ → |23⟩

|10⟩ → |24⟩

|10⟩ → |25⟩

|10⟩ → |26⟩

|10⟩ → |27⟩

|10⟩ → |28⟩

|10⟩ → |29⟩

|10⟩ → |30⟩

|11⟩ → |12⟩

|11⟩ → |13⟩

|11⟩ → |14⟩

|11⟩ → |15⟩

|11⟩ → |16⟩

|11⟩ → |17⟩

|11⟩ → |18⟩

|11⟩ → |19⟩

|11⟩ → |20⟩

|11⟩ → |21⟩

|11⟩ → |22⟩

|11⟩ → |23⟩

|11⟩ → |24⟩

|11⟩ → |25⟩

|11⟩ → |26⟩

|11⟩ → |27⟩

|11⟩ → |28⟩

|11⟩ → |29⟩

|11⟩ → |30⟩

|12⟩ → |13⟩

|12⟩ → |14⟩

|12⟩ → |15⟩

|12⟩ → |16⟩

|12⟩ → |17⟩

|12⟩ → |18⟩

|12⟩ → |19⟩

|12⟩ → |20⟩

|12⟩ → |21⟩

|12⟩ → |22⟩

|12⟩ → |23⟩

|12⟩ → |24⟩

|12⟩ → |25⟩

|12⟩ → |26⟩

|12⟩ → |27⟩

|12⟩ → |28⟩

|12⟩ → |29⟩

|12⟩ → |30⟩

|13⟩ → |14⟩

|13⟩ → |15⟩

|13⟩ → |16⟩

|13⟩ → |17⟩

|13⟩ → |18⟩

|13⟩ → |19⟩

|13⟩ → |20⟩

|13⟩ → |21⟩

|13⟩ → |22⟩

|13⟩ → |23⟩

|13⟩ → |24⟩

|13⟩ → |25⟩

|13⟩ → |26⟩

|13⟩ → |27⟩

|13⟩ → |28⟩

|13⟩ → |29⟩

|13⟩ → |30⟩

|14⟩ → |15⟩

|14⟩ → |16⟩

|14⟩ → |17⟩

|14⟩ → |18⟩

|14⟩ → |19⟩

|14⟩ → |20⟩

|14⟩ → |21⟩

|14⟩ → |22⟩

|14⟩ → |23⟩

|14⟩ → |24⟩

|14⟩ → |25⟩

|14⟩ → |26⟩

|14⟩ → |27⟩

|14⟩ → |28⟩

|14⟩ → |29⟩

|14⟩ → |30⟩

|15⟩ → |16⟩

|15⟩ → |17⟩

|15⟩ → |18⟩

|15⟩ → |19⟩

|15⟩ → |20⟩

|15⟩ → |21⟩

|15⟩ → |22⟩

|15⟩ → |23⟩

|15⟩ → |24⟩

|15⟩ → |25⟩

|15⟩ → |26⟩

|15⟩ → |27⟩

|15⟩ → |28⟩

|15⟩ → |29⟩

|15⟩ → |30⟩

|16⟩ → |17⟩

|16⟩ → |18⟩

|16⟩ → |19⟩

|16⟩ → |20⟩

|16⟩ → |21⟩

|16⟩ → |22⟩

|16⟩ → |23⟩

|16⟩ → |24⟩

|16⟩ → |25⟩

|16⟩ → |26⟩

|16⟩ → |27⟩

|16⟩ → |28⟩

|16⟩ → |29⟩

|16⟩ → |30⟩

|17⟩ → |18⟩

|17⟩ → |19⟩

|17⟩ → |20⟩

|17⟩ → |21⟩

|17⟩ → |22⟩

|17⟩ → |23⟩

|17⟩ → |24⟩

|17⟩ → |25⟩

|17⟩ → |26⟩

|17⟩ → |27⟩

|17⟩ → |28⟩

|17⟩ → |29⟩

|17⟩ → |30⟩

|18⟩ → |19⟩

|18⟩ → |20⟩

|18⟩ → |21⟩

|18⟩ → |22⟩

|18⟩ → |23⟩

|18⟩ → |24⟩

|18⟩ → |25⟩

|18⟩ → |26⟩

|18⟩ → |27⟩

|18⟩ → |28⟩

|18⟩ → |29⟩

|18⟩ → |30⟩

|19⟩ → |20⟩

|19⟩ → |21⟩

|19⟩ → |22⟩

|19⟩ → |23⟩

|19⟩ → |24⟩

|19⟩ → |25⟩

|19⟩ → |26⟩

|19⟩ → |27⟩

|19⟩ → |28⟩

|19⟩ → |29⟩

|19⟩ → |30⟩

|20⟩ → |21⟩

|20⟩ → |22⟩

|20⟩ → |23⟩

|20⟩ → |24⟩

|20⟩ → |25⟩

|20⟩ → |26⟩

|20⟩ → |27⟩

|20⟩ → |28⟩

|20⟩ → |29⟩

|20⟩ → |30⟩

|21⟩ → |22⟩

|21⟩ → |23⟩

|21⟩ → |24⟩

|21⟩ → |25⟩

|21⟩ → |26⟩

|21⟩ → |27⟩

|21⟩ → |28⟩

|21⟩ → |29⟩

|21⟩ → |30⟩

|22⟩ → |23⟩

|22⟩ → |24⟩

|22⟩ → |25⟩

|22⟩ → |26⟩

|22⟩ → |27⟩

|22⟩ → |28⟩

|22⟩ → |29⟩

|22⟩ → |30⟩

|23⟩ → |24⟩

|23⟩ → |25⟩

|23⟩ → |26⟩

|23⟩ → |27⟩

|23⟩ → |28⟩

|23⟩ → |29⟩

|23⟩ → |30⟩

|24⟩ → |25⟩

|24⟩ → |26⟩

|24⟩ → |27⟩

|24⟩ → |28⟩

|24⟩ → |29⟩

|24⟩ → |30⟩

|25⟩ → |26⟩

|25⟩ → |27⟩

|25⟩ → |28⟩

|25⟩ → |29⟩

|25⟩ → |30⟩

|26⟩ → |27⟩

|26⟩ → |28⟩

|26⟩ → |29⟩

|26⟩ → |30⟩

|27⟩ → |28⟩

|27⟩ → |29⟩

|27⟩ → |30⟩

|28⟩ → |29⟩

|28⟩ → |30⟩

|29⟩ → |30⟩

Decays

|1⟩ ↔ |2⟩

|1⟩ ↔ |3⟩

|1⟩ ↔ |4⟩

|1⟩ ↔ |5⟩

|1⟩ ↔ |6⟩

|1⟩ ↔ |7⟩

|1⟩ ↔ |8⟩

|1⟩ ↔ |9⟩

|1⟩ ↔ |10⟩

|1⟩ ↔ |11⟩

|1⟩ ↔ |12⟩

|1⟩ ↔ |13⟩

|1⟩ ↔ |14⟩

|1⟩ ↔ |15⟩

|1⟩ ↔ |16⟩

|1⟩ ↔ |17⟩

|1⟩ ↔ |18⟩

|1⟩ ↔ |19⟩

|1⟩ ↔ |20⟩

|1⟩ ↔ |21⟩

|1⟩ ↔ |22⟩

|1⟩ ↔ |23⟩

|1⟩ ↔ |24⟩

|1⟩ ↔ |25⟩

|1⟩ ↔ |26⟩

|1⟩ ↔ |27⟩

|1⟩ ↔ |28⟩

|1⟩ ↔ |29⟩

|1⟩ ↔ |30⟩

|2⟩ ↔ |3⟩

|2⟩ ↔ |4⟩

|2⟩ ↔ |5⟩

|2⟩ ↔ |6⟩

|2⟩ ↔ |7⟩

|2⟩ ↔ |8⟩

|2⟩ ↔ |9⟩

|2⟩ ↔ |10⟩

|2⟩ ↔ |11⟩

|2⟩ ↔ |12⟩

|2⟩ ↔ |13⟩

|2⟩ ↔ |14⟩

|2⟩ ↔ |15⟩

|2⟩ ↔ |16⟩

|2⟩ ↔ |17⟩

|2⟩ ↔ |18⟩

|2⟩ ↔ |19⟩

|2⟩ ↔ |20⟩

|2⟩ ↔ |21⟩

|2⟩ ↔ |22⟩

|2⟩ ↔ |23⟩

|2⟩ ↔ |24⟩

|2⟩ ↔ |25⟩

|2⟩ ↔ |26⟩

|2⟩ ↔ |27⟩

|2⟩ ↔ |28⟩

|2⟩ ↔ |29⟩

|2⟩ ↔ |30⟩

|3⟩ ↔ |4⟩

|3⟩ ↔ |5⟩

|3⟩ ↔ |6⟩

|3⟩ ↔ |7⟩

|3⟩ ↔ |8⟩

|3⟩ ↔ |9⟩

|3⟩ ↔ |10⟩

|3⟩ ↔ |11⟩

|3⟩ ↔ |12⟩

|3⟩ ↔ |13⟩

|3⟩ ↔ |14⟩

|3⟩ ↔ |15⟩

|3⟩ ↔ |16⟩

|3⟩ ↔ |17⟩

|3⟩ ↔ |18⟩

|3⟩ ↔ |19⟩

|3⟩ ↔ |20⟩

|3⟩ ↔ |21⟩

|3⟩ ↔ |22⟩

|3⟩ ↔ |23⟩

|3⟩ ↔ |24⟩

|3⟩ ↔ |25⟩

|3⟩ ↔ |26⟩

|3⟩ ↔ |27⟩

|3⟩ ↔ |28⟩

|3⟩ ↔ |29⟩

|3⟩ ↔ |30⟩

|4⟩ ↔ |5⟩

|4⟩ ↔ |6⟩

|4⟩ ↔ |7⟩

|4⟩ ↔ |8⟩

|4⟩ ↔ |9⟩

|4⟩ ↔ |10⟩

|4⟩ ↔ |11⟩

|4⟩ ↔ |12⟩

|4⟩ ↔ |13⟩

|4⟩ ↔ |14⟩

|4⟩ ↔ |15⟩

|4⟩ ↔ |16⟩

|4⟩ ↔ |17⟩

|4⟩ ↔ |18⟩

|4⟩ ↔ |19⟩

|4⟩ ↔ |20⟩

|4⟩ ↔ |21⟩

|4⟩ ↔ |22⟩

|4⟩ ↔ |23⟩

|4⟩ ↔ |24⟩

|4⟩ ↔ |25⟩

|4⟩ ↔ |26⟩

|4⟩ ↔ |27⟩

|4⟩ ↔ |28⟩

|4⟩ ↔ |29⟩

|4⟩ ↔ |30⟩

|5⟩ ↔ |6⟩

|5⟩ ↔ |7⟩

|5⟩ ↔ |8⟩

|5⟩ ↔ |9⟩

|5⟩ ↔ |10⟩

|5⟩ ↔ |11⟩

|5⟩ ↔ |12⟩

|5⟩ ↔ |13⟩

|5⟩ ↔ |14⟩

|5⟩ ↔ |15⟩

|5⟩ ↔ |16⟩

|5⟩ ↔ |17⟩

|5⟩ ↔ |18⟩

|5⟩ ↔ |19⟩

|5⟩ ↔ |20⟩

|5⟩ ↔ |21⟩

|5⟩ ↔ |22⟩

|5⟩ ↔ |23⟩

|5⟩ ↔ |24⟩

|5⟩ ↔ |25⟩

|5⟩ ↔ |26⟩

|5⟩ ↔ |27⟩

|5⟩ ↔ |28⟩

|5⟩ ↔ |29⟩

|5⟩ ↔ |30⟩

|6⟩ ↔ |7⟩

|6⟩ ↔ |8⟩

|6⟩ ↔ |9⟩

|6⟩ ↔ |10⟩

|6⟩ ↔ |11⟩

|6⟩ ↔ |12⟩

|6⟩ ↔ |13⟩

|6⟩ ↔ |14⟩

|6⟩ ↔ |15⟩

|6⟩ ↔ |16⟩

|6⟩ ↔ |17⟩

|6⟩ ↔ |18⟩

|6⟩ ↔ |19⟩

|6⟩ ↔ |20⟩

|6⟩ ↔ |21⟩

|6⟩ ↔ |22⟩

|6⟩ ↔ |23⟩

|6⟩ ↔ |24⟩

|6⟩ ↔ |25⟩

|6⟩ ↔ |26⟩

|6⟩ ↔ |27⟩

|6⟩ ↔ |28⟩

|6⟩ ↔ |29⟩

|6⟩ ↔ |30⟩

|7⟩ ↔ |8⟩

|7⟩ ↔ |9⟩

|7⟩ ↔ |10⟩

|7⟩ ↔ |11⟩

|7⟩ ↔ |12⟩

|7⟩ ↔ |13⟩

|7⟩ ↔ |14⟩

|7⟩ ↔ |15⟩

|7⟩ ↔ |16⟩

|7⟩ ↔ |17⟩

|7⟩ ↔ |18⟩

|7⟩ ↔ |19⟩

|7⟩ ↔ |20⟩

|7⟩ ↔ |21⟩

|7⟩ ↔ |22⟩

|7⟩ ↔ |23⟩

|7⟩ ↔ |24⟩

|7⟩ ↔ |25⟩

|7⟩ ↔ |26⟩

|7⟩ ↔ |27⟩

|7⟩ ↔ |28⟩

|7⟩ ↔ |29⟩

|7⟩ ↔ |30⟩

|8⟩ ↔ |9⟩

|8⟩ ↔ |10⟩

|8⟩ ↔ |11⟩

|8⟩ ↔ |12⟩

|8⟩ ↔ |13⟩

|8⟩ ↔ |14⟩

|8⟩ ↔ |15⟩

|8⟩ ↔ |16⟩

|8⟩ ↔ |17⟩

|8⟩ ↔ |18⟩

|8⟩ ↔ |19⟩

|8⟩ ↔ |20⟩

|8⟩ ↔ |21⟩

|8⟩ ↔ |22⟩

|8⟩ ↔ |23⟩

|8⟩ ↔ |24⟩

|8⟩ ↔ |25⟩

|8⟩ ↔ |26⟩

|8⟩ ↔ |27⟩

|8⟩ ↔ |28⟩

|8⟩ ↔ |29⟩

|8⟩ ↔ |30⟩

|9⟩ ↔ |10⟩

|9⟩ ↔ |11⟩

|9⟩ ↔ |12⟩

|9⟩ ↔ |13⟩

|9⟩ ↔ |14⟩

|9⟩ ↔ |15⟩

|9⟩ ↔ |16⟩

|9⟩ ↔ |17⟩

|9⟩ ↔ |18⟩

|9⟩ ↔ |19⟩

|9⟩ ↔ |20⟩

|9⟩ ↔ |21⟩

|9⟩ ↔ |22⟩

|9⟩ ↔ |23⟩

|9⟩ ↔ |24⟩

|9⟩ ↔ |25⟩

|9⟩ ↔ |26⟩

|9⟩ ↔ |27⟩

|9⟩ ↔ |28⟩

|9⟩ ↔ |29⟩

|9⟩ ↔ |30⟩

|10⟩ ↔ |11⟩

|10⟩ ↔ |12⟩

|10⟩ ↔ |13⟩

|10⟩ ↔ |14⟩

|10⟩ ↔ |15⟩

|10⟩ ↔ |16⟩

|10⟩ ↔ |17⟩

|10⟩ ↔ |18⟩

|10⟩ ↔ |19⟩

|10⟩ ↔ |20⟩

|10⟩ ↔ |21⟩

|10⟩ ↔ |22⟩

|10⟩ ↔ |23⟩

|10⟩ ↔ |24⟩

|10⟩ ↔ |25⟩

|10⟩ ↔ |26⟩

|10⟩ ↔ |27⟩

|10⟩ ↔ |28⟩

|10⟩ ↔ |29⟩

|10⟩ ↔ |30⟩

|11⟩ ↔ |12⟩

|11⟩ ↔ |13⟩

|11⟩ ↔ |14⟩

|11⟩ ↔ |15⟩

|11⟩ ↔ |16⟩

|11⟩ ↔ |17⟩

|11⟩ ↔ |18⟩

|11⟩ ↔ |19⟩

|11⟩ ↔ |20⟩

|11⟩ ↔ |21⟩

|11⟩ ↔ |22⟩

|11⟩ ↔ |23⟩

|11⟩ ↔ |24⟩

|11⟩ ↔ |25⟩

|11⟩ ↔ |26⟩

|11⟩ ↔ |27⟩

|11⟩ ↔ |28⟩

|11⟩ ↔ |29⟩

|11⟩ ↔ |30⟩

|12⟩ ↔ |13⟩

|12⟩ ↔ |14⟩

|12⟩ ↔ |15⟩

|12⟩ ↔ |16⟩

|12⟩ ↔ |17⟩

|12⟩ ↔ |18⟩

|12⟩ ↔ |19⟩

|12⟩ ↔ |20⟩

|12⟩ ↔ |21⟩

|12⟩ ↔ |22⟩

|12⟩ ↔ |23⟩

|12⟩ ↔ |24⟩

|12⟩ ↔ |25⟩

|12⟩ ↔ |26⟩

|12⟩ ↔ |27⟩

|12⟩ ↔ |28⟩

|12⟩ ↔ |29⟩

|12⟩ ↔ |30⟩

|13⟩ ↔ |14⟩

|13⟩ ↔ |15⟩

|13⟩ ↔ |16⟩

|13⟩ ↔ |17⟩

|13⟩ ↔ |18⟩

|13⟩ ↔ |19⟩

|13⟩ ↔ |20⟩

|13⟩ ↔ |21⟩

|13⟩ ↔ |22⟩

|13⟩ ↔ |23⟩

|13⟩ ↔ |24⟩

|13⟩ ↔ |25⟩

|13⟩ ↔ |26⟩

|13⟩ ↔ |27⟩

|13⟩ ↔ |28⟩

|13⟩ ↔ |29⟩

|13⟩ ↔ |30⟩

|14⟩ ↔ |15⟩

|14⟩ ↔ |16⟩

|14⟩ ↔ |17⟩

|14⟩ ↔ |18⟩

|14⟩ ↔ |19⟩

|14⟩ ↔ |20⟩

|14⟩ ↔ |21⟩

|14⟩ ↔ |22⟩

|14⟩ ↔ |23⟩

|14⟩ ↔ |24⟩

|14⟩ ↔ |25⟩

|14⟩ ↔ |26⟩

|14⟩ ↔ |27⟩

|14⟩ ↔ |28⟩

|14⟩ ↔ |29⟩

|14⟩ ↔ |30⟩

|15⟩ ↔ |16⟩

|15⟩ ↔ |17⟩

|15⟩ ↔ |18⟩

|15⟩ ↔ |19⟩

|15⟩ ↔ |20⟩

|15⟩ ↔ |21⟩

|15⟩ ↔ |22⟩

|15⟩ ↔ |23⟩

|15⟩ ↔ |24⟩

|15⟩ ↔ |25⟩

|15⟩ ↔ |26⟩

|15⟩ ↔ |27⟩

|15⟩ ↔ |28⟩

|15⟩ ↔ |29⟩

|15⟩ ↔ |30⟩

|16⟩ ↔ |17⟩

|16⟩ ↔ |18⟩

|16⟩ ↔ |19⟩

|16⟩ ↔ |20⟩

|16⟩ ↔ |21⟩

|16⟩ ↔ |22⟩

|16⟩ ↔ |23⟩

|16⟩ ↔ |24⟩

|16⟩ ↔ |25⟩

|16⟩ ↔ |26⟩

|16⟩ ↔ |27⟩

|16⟩ ↔ |28⟩

|16⟩ ↔ |29⟩

|16⟩ ↔ |30⟩

|17⟩ ↔ |18⟩

|17⟩ ↔ |19⟩

|17⟩ ↔ |20⟩

|17⟩ ↔ |21⟩

|17⟩ ↔ |22⟩

|17⟩ ↔ |23⟩

|17⟩ ↔ |24⟩

|17⟩ ↔ |25⟩

|17⟩ ↔ |26⟩

|17⟩ ↔ |27⟩

|17⟩ ↔ |28⟩

|17⟩ ↔ |29⟩

|17⟩ ↔ |30⟩

|18⟩ ↔ |19⟩

|18⟩ ↔ |20⟩

|18⟩ ↔ |21⟩

|18⟩ ↔ |22⟩

|18⟩ ↔ |23⟩

|18⟩ ↔ |24⟩

|18⟩ ↔ |25⟩

|18⟩ ↔ |26⟩

|18⟩ ↔ |27⟩

|18⟩ ↔ |28⟩

|18⟩ ↔ |29⟩

|18⟩ ↔ |30⟩

|19⟩ ↔ |20⟩

|19⟩ ↔ |21⟩

|19⟩ ↔ |22⟩

|19⟩ ↔ |23⟩

|19⟩ ↔ |24⟩

|19⟩ ↔ |25⟩

|19⟩ ↔ |26⟩

|19⟩ ↔ |27⟩

|19⟩ ↔ |28⟩

|19⟩ ↔ |29⟩

|19⟩ ↔ |30⟩

|20⟩ ↔ |21⟩

|20⟩ ↔ |22⟩

|20⟩ ↔ |23⟩

|20⟩ ↔ |24⟩

|20⟩ ↔ |25⟩

|20⟩ ↔ |26⟩

|20⟩ ↔ |27⟩

|20⟩ ↔ |28⟩

|20⟩ ↔ |29⟩

|20⟩ ↔ |30⟩

|21⟩ ↔ |22⟩

|21⟩ ↔ |23⟩

|21⟩ ↔ |24⟩

|21⟩ ↔ |25⟩

|21⟩ ↔ |26⟩

|21⟩ ↔ |27⟩

|21⟩ ↔ |28⟩

|21⟩ ↔ |29⟩

|21⟩ ↔ |30⟩

|22⟩ ↔ |23⟩

|22⟩ ↔ |24⟩

|22⟩ ↔ |25⟩

|22⟩ ↔ |26⟩

|22⟩ ↔ |27⟩

|22⟩ ↔ |28⟩

|22⟩ ↔ |29⟩

|22⟩ ↔ |30⟩

|23⟩ ↔ |24⟩

|23⟩ ↔ |25⟩

|23⟩ ↔ |26⟩

|23⟩ ↔ |27⟩

|23⟩ ↔ |28⟩

|23⟩ ↔ |29⟩

|23⟩ ↔ |30⟩

|24⟩ ↔ |25⟩

|24⟩ ↔ |26⟩

|24⟩ ↔ |27⟩

|24⟩ ↔ |28⟩

|24⟩ ↔ |29⟩

|24⟩ ↔ |30⟩

|25⟩ ↔ |26⟩

|25⟩ ↔ |27⟩

|25⟩ ↔ |28⟩

|25⟩ ↔ |29⟩

|25⟩ ↔ |30⟩

|26⟩ ↔ |27⟩

|26⟩ ↔ |28⟩

|26⟩ ↔ |29⟩

|26⟩ ↔ |30⟩

|27⟩ ↔ |28⟩

|27⟩ ↔ |29⟩

|27⟩ ↔ |30⟩

|28⟩ ↔ |29⟩

|28⟩ ↔ |30⟩

|29⟩ ↔ |30⟩

Bloch equations

Source code download (C language):

Integration time = 1 μs

Spectrum width = 200 MHz

Temporal integration step = 5 ps

Detuning step = 1 MHz

Options to run the source code in C:

Bloodsheed C++ (Windows)
Online C compiler

Information

This program generates the optical Bloch equations for a system of N levels, as well as the source code in C language for the numerical solution of equations via the Runge-Kutta method fourth order.

How to use:

Choose the number of levels (N) of the system.
Configure the system by defining the positions of the states (click and drag the states).
Choose non-zero Rabi frequencies and allowed decays.
Click "Generate Bloch equations".

Version: 1.4.3 (03/06/2025)

How to quote this software?

Marco P. M. de Souza, Bloch equation generator - SimuFísica. Accessed at 09/11/2025 [Online]. Available at: https://simufisica.com/en/tools/bloch-equation-generator/?x1=470.25&y1=735.4199999999998&x2=470.25&y2=535.4199999999998&N=2&tempoIntegracao=1&passoTemporal=5&larguraEspectro=200&passoDessintonia=1&ondaGirante=true&FR12=true&TP12=true&FR23=true&TP23=true&N=2&tempoIntegracao=1&passoTemporal=5&larguraEspectro=200&passoDessintonia=1&ondaGirante=true&FR12=true&TP12=true&FR23=true&TP23=true.

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Bloch Eq.

Examples

Two-level
Λ-type three-level
Cascade-type three-level
V-type three-level

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