# Wave Function Structure in Two-Body Random Matrix Ensembles

## Abstract

We study the structure of eigenstates in two-body interaction random matrix ensembles and find significant deviations from random matrix theory expectations. The deviations are most prominent in the tails of the spectral density and indicate localization of the eigenstates in Fock space. Using ideas related to scar theory we derive an analytical formula that relates fluctuations in wave function intensities to fluctuations of the two-body interaction matrix elements. Numerical results for many-body fermion systems agree well with the theoretical predictions. (c) 2000 The American Physical Society.

- Authors:

- Publication Date:

- OSTI Identifier:
- 20216587

- Resource Type:
- Journal Article

- Journal Name:
- Physical Review Letters

- Additional Journal Information:
- Journal Volume: 84; Journal Issue: 20; Other Information: PBD: 15 May 2000; Journal ID: ISSN 0031-9007

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; TWO-BODY PROBLEM; WAVE FUNCTIONS; MATRICES; EIGENSTATES; FOCK REPRESENTATION; FLUCTUATIONS; MATRIX ELEMENTS; THEORETICAL DATA

### Citation Formats

```
Kaplan, Lev, and Papenbrock, Thomas.
```*Wave Function Structure in Two-Body Random Matrix Ensembles*. United States: N. p., 2000.
Web. doi:10.1103/PhysRevLett.84.4553.

```
Kaplan, Lev, & Papenbrock, Thomas.
```*Wave Function Structure in Two-Body Random Matrix Ensembles*. United States. doi:10.1103/PhysRevLett.84.4553.

```
Kaplan, Lev, and Papenbrock, Thomas. Mon .
"Wave Function Structure in Two-Body Random Matrix Ensembles". United States. doi:10.1103/PhysRevLett.84.4553.
```

```
@article{osti_20216587,
```

title = {Wave Function Structure in Two-Body Random Matrix Ensembles},

author = {Kaplan, Lev and Papenbrock, Thomas},

abstractNote = {We study the structure of eigenstates in two-body interaction random matrix ensembles and find significant deviations from random matrix theory expectations. The deviations are most prominent in the tails of the spectral density and indicate localization of the eigenstates in Fock space. Using ideas related to scar theory we derive an analytical formula that relates fluctuations in wave function intensities to fluctuations of the two-body interaction matrix elements. Numerical results for many-body fermion systems agree well with the theoretical predictions. (c) 2000 The American Physical Society.},

doi = {10.1103/PhysRevLett.84.4553},

journal = {Physical Review Letters},

issn = {0031-9007},

number = 20,

volume = 84,

place = {United States},

year = {2000},

month = {5}

}

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