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 …
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
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 …
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 …
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 …
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 …
power-law interaction, J 0/r α, and random on-site potentials, ϕ i∈− W/2, W/2, in the long …
Thermalization and its breakdown for a large nonlinear spin
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 …
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 …
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 …
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
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 …
circuit. As a dynamical system of two coupled freedoms it has mixed phase space with …