Hot answers tagged research-level
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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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I) Here we discuss the problem of defining a connection on a conformal manifold $M$. We start with a conformal class $[g_{\mu\nu}]$ of globally$^{1}$ defined metrics
$$\tag{1} g^{\prime}_{\mu\nu}~=~\Omega^2 g_{\mu\nu}$$
given by Weyl transformations/rescalings. Under mild assumption about the manifold $M$ (para-compactness), we may assume that there ...
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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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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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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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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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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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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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I found this question by chance yesterday while looking for articles on Werhl entropy. I may have found a possible answer after reviewing properties of the Wigner quasiprobability distribution on http://en.wikipedia.org/wiki/Wigner_quasiprobability_distribution#The_Wigner.E2.80.93Weyl_transformation.
Consider property 7 under the section "Mathematical ...
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