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Quantum mechanics describes the microscopic properties of nature in a regime where classical mechanics no longer applies. It explains phenomena such as the wave-particle duality, quantization of energy, and the uncertainty principle and is generally used in single-body systems. Use the quantum-field-theory tag for the theory of many-body quantum-mechanical systems.

3 votes
0 answers
117 views

How do we write the state of a continuous-wave laser beam?

Many of us are probably familiar with the notion that the output of a laser is a coherent state $|\alpha\rangle$. But this simplistic description falls short in many respects. For instance, how can I …
Ziofil's user avatar
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4 votes
Accepted

truncation before matrix exponential: how to do it right?

I found the answer, at least for some of the cases that I thought were intractable, including my examples. The main tool is the disentangling theorem for the relevant group. Example 1: the transforma …
Ziofil's user avatar
  • 258
6 votes
3 answers
556 views

truncation before matrix exponential: how to do it right?

I'm trying to compute (numerically) the matrices of some simple quantum optical operations, which in principle are unitary. However, in my case they are unitary in an infinite-dimensional space, so I …
Ziofil's user avatar
  • 258