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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.

2 votes
1 answer
440 views

About normal mode splitting

I have two questions about normal mode splitting in cavity. Is this splitting available when an atom in the cavity is in the ground state? I've seen many text books but their initial condition is th …
William's user avatar
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1 vote
0 answers
57 views

Question about Vacuum Rabi Splitting [duplicate]

I'm studying cavity QED and I'm confused about Vacuum Rabi Splitting. Mostly, Vacuum Rabi Splitting has been described when the two-level atom are in the excited state at the beginning with no photon …
William's user avatar
  • 183
2 votes
0 answers
175 views

How to get this hamiltonian?

I'm trying to follow the paper (https://journals.aps.org/prl/pdf/10.1103/PhysRevLett.78.3221) where cavity qed is used for quantum network. In this paper, they made a hamiltonian like \begin{equatio …
William's user avatar
  • 183
1 vote
1 answer
106 views

Why are these quantization forms different?

I'm confused about the form of the quantized electromagnetic field. Sometimes, one writes the quantized electric field as $$\hat E = \vec E_0(\hat a + \hat a^†)$$ , which can been seen the website …
William's user avatar
  • 183
0 votes
0 answers
65 views

Hyper entanglement vs Maximally entangled bipartite state

Let's suppose we have hyper entanglement of two photons such as $$|ψ\rangle = \frac{1}{\sqrt{2}}(|HH\rangle_{ab}+|VV\rangle_{ab})\otimes\frac{1}{\sqrt{2}}(|SS\rangle_{ab}+|FF\rangle_{ab})$$ where $|H\ …
William's user avatar
  • 183
2 votes
0 answers
65 views

What's the definition of the EPR limit?

I am reading this paper, nature.com/articles/s41567-018-0347-x, which is about the generation of high-dimensional entanglement using two non-commuting variables, frequency-bin and time-bin. On page 7 …
William's user avatar
  • 183
2 votes
1 answer
107 views

Shor's algorithm entanglement verification

I would like to ask whether the entanglement verification is necessary in Shor's algorithm In the paper, Nature Photon 6, 773–776 (2012), they mentioned that they tried to factorize 21 to avoid the en …
William's user avatar
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0 votes
0 answers
117 views

How to obtain the operator in time domain using multi-mode Hamiltonian of the optical cavity...

I'm trying to get the average photon number of each mode in the optical cavity system with the hamiltonians: $\hat H_{Free\ optical\ wave} = \hbar w \hat a_i^† \hat a_i$ $\hat H_{Free\ cavity} = \hb …
William's user avatar
  • 183
-1 votes
1 answer
133 views

What is the advantage of neutral atom quantum network advantage?

I'm interested in quantum network system using neutral atom for my interest of atomic physics. But I'm curious about what the advantage of the neutral-atom-based quantum network instead of other plat …
William's user avatar
  • 183
1 vote
1 answer
344 views

Number of qubits required in Shor's algorithm

People say that the number of qubits required in Shor's algorithm for factorizing $N$ should be $2\log N$ for control register and $\log N$ for target register. What is the reason why these numbers of …
William's user avatar
  • 183
0 votes
2 answers
122 views

How can we get this identity?

I would like to know how we can get this identity: $$\vec{S}_1·\vec{S}_2 = S_1^zS_2^z + \frac{1}{2}(S_1^+S_2^-+S_1^-S_2^+).$$ The $S_1, S_2$ is the spin operator of the electrons, 1 and 2, and $S^+, …
William's user avatar
  • 183
2 votes
1 answer
730 views

What is the meaning of rotating the frame in quantum mechanics?

I want to ask about the meaning of rotating the frame in quantum mechanics. Many papers write the rotating frame and I'm not sure what the meaning of it.
William's user avatar
  • 183
2 votes
3 answers
367 views

Is high-dimensional Pauli decomposition impossible?

I've been trying to decompose a $3 \times 3$ density matrix with 3-dimensional Pauli matrices but it doesn't work for all matrices. For example, the density matrix of the state $|0\rangle + |1\rangle …
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