Volume-law entanglement entropy of typical pure quantum states

E Bianchi, L Hackl, M Kieburg, M Rigol, L Vidmar - PRX Quantum, 2022 - APS
The entanglement entropy of subsystems of typical eigenstates of quantum many-body
Hamiltonians has recently been conjectured to be a diagnostic of quantum chaos and …

A smooth transition towards a Tracy–Widom distribution for the largest eigenvalue of interacting k-body fermionic embedded Gaussian ensembles

E Carro, L Benet, IP Castillo - Journal of Statistical Mechanics …, 2023 - iopscience.iop.org
In spite of its simplicity, the central limit theorem captures one of the most outstanding
phenomena in mathematical physics, that of universality. While this classical result is well …

Average-fluctuation separation in energy levels in many-particle quantum systems with k-body interactions using q-Hermite polynomials

ND Chavda - Pramana, 2022 - Springer
Separation between average and fluctuation parts in state density in many-particle quantum
systems with k-body interactions, modelled by the k-body embedded Gaussian orthogonal …

Bivariate moments of the two-point correlation function for embedded Gaussian unitary ensemble with -body interactions

VKB Kota - Physical Review E, 2023 - APS
Embedded random matrix ensembles with k-body interactions are well established to be
appropriate for many quantum systems. For these ensembles the two point correlation …

Two-species k-body embedded Gaussian unitary ensembles: q-normal form of the eigenvalue density

M Vyas, VKB Kota - Journal of Statistical Mechanics: Theory and …, 2023 - iopscience.iop.org
The eigenvalue density generated by an embedded Gaussian unitary ensemble with k-body
interactions for two-species (say π and ν) fermion systems is investigated by deriving …

[HTML][HTML] Structure of wavefunction for interacting bosons in mean-field with random k-body interactions

P Rao, ND Chavda - Physics Letters A, 2021 - Elsevier
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 …

Statistical nuclear spectroscopy with q-normal and bivariate q-normal distributions and q-Hermite polynomials

VKB Kota, M Vyas - Annals of Physics, 2022 - Elsevier
Statistical nuclear spectroscopy (also called spectral distribution method), introduced by JB
French in late 60's and developed in detail in the later years by his group and many other …

Bivariate q-normal distribution for transition matrix elements in quantum many-body systems

M Vyas, VKB Kota - Journal of Statistical Mechanics: Theory and …, 2020 - iopscience.iop.org
Recently, it was established, via lower order moments, that the univariate q-normal
distribution, which is the weighting function for q-Hermite polynomials, describes the …

Wavefunction structure in quantum many-fermion systems with k-body interactions: conditional q-normal form of strength functions

VKB Kota, M Vyas - Journal of Statistical Mechanics: Theory and …, 2021 - iopscience.iop.org
For finite quantum many-particle systems modeled with say m fermions in N single particle
states and interacting with k-body interactions (k⩽ m), the wavefunction structure is studied …

Thermalization in many-fermion quantum systems with one-plus random k-body interactions

P Rao, ND Chavda - Journal of Statistical Mechanics: Theory and …, 2023 - iopscience.iop.org
We study the mechanism of thermalization in finite many-fermion systems with random k-
body interactions in the presence of a mean-field. The system Hamiltonian H, for m fermions …