Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Structure of wavefunction for interacting bosons in mean-field with
  random $k$-body interactions   Wavefunction structure is analyzed for dense interacting many-boson systems
using Hamiltonian $H$, which is a sum of one-body $h(1)$ and an embedded GOE of
$k$-body interaction $V(k)$ with strength $\lambda$. In the first analysis, a
complete analytical description of the variance of the strength function as a
function of $\lambda$ and $k$ is derived and the marker $\lambda_t$ defining
thermalization region is obtained. In the strong coupling limit ($\lambda >
\lambda_t$), the conditional $q$-normal density describes Gaussian to
semi-circle transition in strength functions as body rank $k$ of the
interaction increases. In the second analysis, this interpolating form of the
strength function is utilized to describe the fidelity decay after $k$-body
interaction quench and also to obtain the smooth form for the number of
principal components, a measure of chaos in finite interacting many-particle
systems. The smooth form very well describes embedded ensemble results for all
$k$ values.

31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys