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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
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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 …
1
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0
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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 …
2
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0
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175
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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 …
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1
answer
106
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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 …
0
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0
answers
65
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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\ …
2
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0
answers
65
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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 …
2
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1
answer
107
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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 …
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0
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117
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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 …
-1
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1
answer
133
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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 …
1
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1
answer
344
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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 …
0
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2
answers
122
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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^+, …
2
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1
answer
730
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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.
2
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3
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367
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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 …