We consider quantum statistical physics of many-body equilibrium fluctuations in an
interacting Bose-Einstein-condensed (BEC) gas. We find a universal analytic formula for a …

We propose a multi-qubit Bose–Einstein-condensate (BEC) trap as a platform for studies of
quantum statistical phenomena in many-body interacting systems. In particular, it could …

We provide a (strong) inductive proof of Borchardt's theorem for calculating the permanent of
a Cauchy matrix via the determinants of auxiliary matrices. This result has implications for …

This study presents some results on the permanents of k-tridiagonal matrices with the
Toeplitz structure. Our investigation establishes significant connections between the …

We suggest a new platform for examination of quantum statistical phenomena in many-body
interacting systems–a multi-qubit Bose-Einstein-condensate (BEC) trap. Ideally, it is suitable …

In this study, we focus on reanalyzing and reducing a recursive formula that generates the
permanents of a family of matrices called-tridiagonal Toeplitz. This recursive formula is …

The permanent function is not as stable as the determinant function under the elementary
row operations. For example, adding a non-zero scalar multiple of a row to another row does …

Abstract− The permanent function is not as stable as the determinant function under the
elementary row operations. For example, adding a non-zero scalar multiple of a row to …