New answers tagged research-level
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There are lots of questions here! I think I can answer at least some...
First of all, you are aware that the fields in $W$ and $K$ are superfields? These contain the entire supermultiplet, so they must be complex in general. This is a short entry but it links to others: http://en.wikipedia.org/wiki/Superfield
As mentioned by Jose in his comment, the ...
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The chiral-fermion/chiral-gauge-theory problem is solved: any anomaly-free chiral gauge theories can be put on lattice by simply turning on a proper interaction. See my new papers http://arxiv.org/abs/1305.1045 and http://arxiv.org/abs/1303.1803
As a result, the string-net theory can also produce the coupling between the SU(2) gauge boson and the chiral ...
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So, out of lack an already established name, I called it excitation states in:
P. Migdał, J. Rodriguez-Laguna, M. Lewenstein,
Entanglement classes of permutation-symmetric qudit states: symmetric operations suffice, arXiv:1305.1506.
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Thank you to Ben Cromwell for jogging my mind in the right direction: here's a (rather) partial answer.
Consider the charge density $\rho=\left[d_z z + Q_{zz}(x^2+y^2-2z^2)\right]e^{-r^2/2\sigma^2}$, which is a superposition of dipole and quadrupole gaussians. The system is neutral with a nonvanishing dipole moment, so the leading term will remain, but no ...
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Local quasiparticle excitations and topological quasiparticle
excitations
To understand and classify anyonic quasiparticles in topologically ordered states, such as FQH states, it is important to
understand the notions of local quasiparticle excitations and topological
quasiparticle excitations. First let us define the notion of ``particle-like''
...
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The notion of fractional charge is not well defined in 1D Luttinger liquid (despite many papers say that the charge is fractionalized in 1D Luttinger liquid).
For gapped states, fractional charge in 1D is due to translation symmetry breaking, while fractional charge in 2D and higher is due to topological order
(ie long-range entanglement). See A physical ...
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I remember attending a seminar by Unruh a few months ago and the same question arised. As far as I remember, he enfasized that in these hydrodynamic analogs of black holes, the flow is not quantized, it is a classical fluid, and everything is classical and that the dumb hole behaves like a quantum amplifier emitting quantum noise from the Horizon. ...
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Fractional excitations are understood to be generic in 1D. An example with a "symmetry presreved" state (whatever that is supposed to mean in 1D) is the simple Luttinger liquid. The Luttinger liquid exhibits charge-fractionalization in to spin charge separation. This was first shown here, I believe.
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Computation of the $S_z$ probability distribution for each of the
manifolds of equal entanglement:
Remark: Notations and references from Kuś and Žyczkowski are used.
Case 1: The separable case: The state vector is parametrized as (equation: 24)
$w = \begin{bmatrix} \cos \alpha \cos \beta e^{i \chi_1},& \cos \alpha \sin\beta e^{i \chi_2}, &\sin ...
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Edited to add the second part
Edited again, for part 3 and 4
$\newcommand\ket[1]{\left|#1\right>} \newcommand\bra[1]{\left<#1\right|} $
1. Absence of Quantum Loophole
You can easily see that there is no "quantum loophole" in your argument by writing explicitly any pure separable state. With your notations, we have :
$$
...
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