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

@article{Perrin2021TwoPO,
  title={Two particles on a chain with disordered interaction: Localization and dissociation of bound states and mapping to chaotic billiards},
  author={Hugo Perrin and J'anos K. Asb'oth and J N Fuchs and R{\'e}my Mosseri},
  journal={Physical Review B},
  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: November 12… 

Tight-binding billiards.

Recent works have established universal entanglement properties and demonstrated validity of single-particle eigenstate thermalization in quantum-chaotic quadratic Hamiltonians. However, a common

References

SHOWING 1-10 OF 48 REFERENCES

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

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

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

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

Many-body localization due to random interactions

The possibility of observing many body localization of ultracold atoms in a one dimensional optical lattice is discussed for random interactions. In the non-interacting limit, such a system reduces

Coherent Propagation of Two Interacting Particles in a Random Potential

A physical consideration is given to reinforce, interpret and generalize the result of Shepelyansky that a not too weak short-range interaction can cause correlated two-electron states to be

Quantum Localization in Rough Billiards

We study the level spacing statistics p(s) and eigenfunction properties in a billiard with a rough boundary. Quantum effects lead to localization of classical diffusion in the angular momentum space

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

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

Feshbach Resonances in Ultracold Gases

First described by Herman Feshbach in a 1958 paper, Feshbach resonances describe resonant scattering between two particles when their incoming energies are very close to those of a two-particle bound

Repulsively bound atom pairs in an optical lattice

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.

Scars in quantum chaotic wavefunctions

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