All Questions
Tagged with quantum-entanglement fermions
10
questions
2
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answers
50
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Is it possible that a macroscopic object tends to a separable state without the need for objective collapse?
For a multi-particle system, superposition is in some sense equivalent to entanglement; with the Dirac field being treated as classical under second quantization, for example, we could at least argue ...
- 2,475
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1
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What's the relationship between wavefunction (anti-)symmetrization and entanglement? [duplicate]
Wavefunction symmetrization for bosons, or antisymmetrization for fermions, renders the wavefunction no longer a simple tensor product, i.e. it is no longer separable. This is the same thing that ...
- 2,475
4
votes
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Entanglement entropy in states with particle content
I am studying entanglement and its measurements in the context of a lattice model of the Dirac theory. The idea is that one has two bands, symmetric with respect to $E=0$, and the groundstate is ...
- 503
3
votes
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212
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Confusion about the tensor product structure of a multi-fermion Hilbert space
I often see people study entanglement in fermionic systems. The setup is often like this. Suppose we have a 1d lattice of $2L $ sites, which is divided into a left part and a right part, each with $L ...
- 1,957
24
votes
4
answers
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Why is every electron in the universe not entangled with every other electron?
According to the principles of identical particles, the wavefunction of a collection of fermions must be antisymmetric and such a state is entangled. Doesn't this mean that any given electron in the ...
- 11.8k
6
votes
3
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335
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Are combined fermion wavefunctions still antisymmetric after wavefunction collapse?
If we have two electrons in a state $|\psi\rangle=\frac{1}{\sqrt2}[|\uparrow\downarrow\rangle+|\downarrow\uparrow\rangle]$ and we measure the spin of the first electron to be up, does the wavefunction ...
- 2,604
5
votes
2
answers
526
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Entangled states and separable states
B
Two electrons in the same orbital is clearly an entangled quantum state since it is not a tensor product:
$$|\psi\rangle=\frac{1}{\sqrt{2}}(|\uparrow\rangle \otimes|\downarrow\rangle-|\downarrow\...
- 51
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Will more than one composite boson can stay in the same energy state if constituent fermions has moderate entanglement?
Let say we consider two distinguishable fermions(bi-fermions) in compact form. The case when both fermions are existing as free fermions, they will obey Pauli exclusion principle. In other case if ...
- 781
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2
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115
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Entangled electrons seem impossible
Two fermions cannot share the same quantum state.
But two electrons can be entangled. Entangled electrons share the same quantum state.
Thus a contradiction.
Where is my error?
- 375
6
votes
1
answer
970
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Entanglement entropy of 1D chiral Fermion
I was told that the entanglement entropy $S_E$ on the ground state of a (1+1)D conformal field theory (CFT) follows the logarithmic behavior $S_E=\frac{c}{12}\ln L$ where $L$ is the length scale ...
- 11.9k