Current browse context:
cond-mat.stat-mech
Change to browse by:
References & Citations
Condensed Matter > Statistical Mechanics
Title: Structure of wavefunction for interacting bosons in mean-field with random $k$-body interactions
(Submitted on 29 Nov 2020 (v1), last revised 13 Mar 2021 (this version, v2))
Abstract: 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.
Submission history
From: N. D. Chavda [view email][v1] Sun, 29 Nov 2020 07:57:18 GMT (1603kb)
[v2] Sat, 13 Mar 2021 10:22:50 GMT (1637kb)
Link back to: arXiv, form interface, contact.