# Two particles on a chain with disordered interaction: Localization and dissociation of bound states and mapping to chaotic billiards

@inproceedings{Perrin2021TwoPO, title={Two particles on a chain with disordered interaction: Localization and dissociation of bound states and mapping to chaotic billiards}, author={H. Perrin and J. Asb'oth and J. Fuchs and R. Mosseri}, year={2021} }

Hugo Perrin, ∗ János K. Asbóth, 3, † Jean-Noël Fuchs, ‡ and Rémy Mosseri § Sorbonne Université, CNRS, Laboratoire de Physique Théorique de la Matière Condensée, LPTMC, 75005 Paris, France Department of Theoretical Physics and MTA-BME Exotic Quantum Phases ”Momentum” Research Group, Budapest University of Technology and Economics, H-1111 Budapest, Hungary Institute for Solid State Physics and Optics, Wigner Research Centre for Physics, H-1525 Budapest P.O. Box 49, Hungary (Dated: June 18, 2021)

#### Figures from this paper

#### References

SHOWING 1-10 OF 34 REFERENCES

Two-body physics in the Su-Schrieffer-Heeger model

- Physics
- 2016

We consider two interacting bosons in a dimerized Su-Schrieffer-Heeger (SSH) lattice. We identify a rich variety of two-body states. In particular, for open boundary conditions and moderate… Expand

Disorder-induced two-body localised state in interacting quantum walks

- Physics
- 2019

We observe the onset of non-ergodicity from ballistic propagation of a two-body bound state in an interacting discrete-time quantum walk (DTQW) due to time-dependent disorder in the interaction. The… Expand

Model of Quantum Chaotic Billiards: Spectral Statistics and Wave Functions in Two Dimensions.

- Physics, Medicine
- Physical review letters
- 1996

Results for the square lattice indicate that the energy spectrum shows a complex behavior with regions that obey the Wigner-Dyson statistics and localized and quasi-ideal states distributed according to Poisson statistics. Expand

The beauty of impurities: Two revivals of Friedel's virtual bound-state concept

- Physics
- 2016

Abstract Jacques Friedel pioneered the theoretical study of impurities and magnetic impurities in metals. He discovered Friedel oscillations, introduced the concept of virtual bound-state, and… Expand

Observation of pair tunneling and coherent destruction of tunneling in arrays of optical waveguides

- Physics
- 2016

We report on the experimental realization of a photonic system that simulates the one-dimensional two-particle Hubbard model. This analogy is realized by means of two-dimensional arrays of coupled… Expand

Time-resolved observation of coherent multi-body interactions in quantum phase revivals

- Physics, Medicine
- Nature
- 2010

This work demonstrates the presence of effective multi-body interactions in a system of ultracold bosonic atoms in a three-dimensional optical lattice, emerging through virtual transitions of particles from the lowest energy band to higher energy bands, using an atom interferometric technique. Expand

Repulsively bound atom pairs in an optical lattice

- Physics, Medicine
- Nature
- 2006

These results exemplify the strong correspondence between the optical lattice physics of ultracold bosonic atoms and the Bose–Hubbard model—a link that is vital for future applications of these systems to the study of strongly correlated condensed matter and to quantum information. Expand

Scars in quantum chaotic wavefunctions

- Physics
- 1999

We review recent progress in attaining a quantitative understanding of the scarring phenomenon, the non-random behaviour of quantum wavefunctions near unstable periodic orbits of a classically… Expand

HUBBARD MODEL ON D-DIMENSIONAL HYPERCUBES : EXACT SOLUTION FOR THE TWO-ELECTRON CASE

- Physics
- 1997

The Hubbard model is exactly solved for two particles with opposite spins on d-dimensional hypercubes. It is shown that the spectrum can be separated into two parts: a trivial (U-independent) part… Expand

Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms

- Physics, Medicine
- Nature
- 2002

This work observes a quantum phase transition in a Bose–Einstein condensate with repulsive interactions, held in a three-dimensional optical lattice potential, and can induce reversible changes between the two ground states of the system. Expand