Localization in a random XY model with long-range interactions: Intermediate case between single-particle and many-body problems

AL Burin - Physical Review B, 2015 - APS
Many-body localization in an XY model with a long-range interaction is investigated. We
show that in the regime of a high strength of disordering compared to the interaction an off …

Interacting bosons in a triple well: Preface of many-body quantum chaos

K Wittmann W, ER Castro, A Foerster, LF Santos - Physical Review E, 2022 - APS
Systems of interacting bosons in triple-well potentials are of significant theoretical and
experimental interest. They are explored in contexts that range from quantum phase …

[HTML][HTML] Ballistic and diffusive vibrational energy transport in molecules

IV Rubtsov, AL Burin - The Journal of chemical physics, 2019 - pubs.aip.org
Energy transport in molecules is essential for many areas of science and technology. Strong
covalent bonds of a molecular backbone can facilitate the involvement of the molecule's …

Molecules and the eigenstate thermalization hypothesis

DM Leitner - Entropy, 2018 - mdpi.com
We review a theory that predicts the onset of thermalization in a quantum mechanical
coupled non-linear oscillator system, which models the vibrational degrees of freedom of a …

Many-body localization in spin chains with long-range transverse interactions: Scaling of critical disorder with system size

AO Maksymov, AL Burin - Physical Review B, 2020 - APS
We investigate many-body localization in the chain of interacting spins with a transverse
power-law interaction, J 0/r α, and random on-site potentials, ϕ i∈− W/2, W/2, in the long …

Adiabatic passage through chaos

A Dey, D Cohen, A Vardi - Physical Review Letters, 2018 - APS
We study the process of nonlinear stimulated Raman adiabatic passage within a classical
mean-field framework. Depending on the sign of interaction, the breakdown of adiabaticity in …

Thermalization and its breakdown for a large nonlinear spin

SP Kelly, E Timmermans, SW Tsai - Physical Review A, 2020 - APS
By developing a semiclassical analysis based on the eigenstate thermalization hypothesis,
we determine the long time behavior of a large spin evolving with a nonlinear Hamiltonian …

Localization and chaos in a quantum spin glass model in random longitudinal fields: Mapping to the localization problem in a Bethe lattice with a correlated disorder

A Burin - Annalen der Physik, 2017 - Wiley Online Library
The analytical solution of a many‐body localization problem in a quantum Sherrington‐
Kirkpatrick spin glass model in a random longitudinal field is proposed matching the …

Statistics of the stochastically forced Lorenz attractor by the Fokker-Planck equation and cumulant expansions

A Allawala, JB Marston - Physical Review E, 2016 - APS
We investigate the Fokker-Planck description of the equal-time statistics of the three-
dimensional Lorenz attractor with additive white noise. The invariant measure is found by …

Triangular Bose-Hubbard trimer as a minimal model for a superfluid circuit

G Arwas, A Vardi, D Cohen - Physical Review A, 2014 - APS
The triangular Bose-Hubbard trimer is topologically the minimal model for a BEC superfluid
circuit. As a dynamical system of two coupled freedoms it has mixed phase space with …