Nonequilibrium steady states and critical slowing down in the dissipative Bose-Hubbard model

R Ceulemans, M Wouters - Physical Review A, 2023 - APS
Motivated by recent experiments, we study the properties of large Bose-Hubbard chains with
single-particle losses at one site using classical field methods. We construct and validate a …

Ballistic transport of interacting Bose particles in a tight-binding chain

PS Muraev, DN Maksimov, AR Kolovsky - Physical Review E, 2022 - APS
It is known that the quantum transport of noninteracting Bose particles across a tight-binding
chain is ballistic in the sense that the current does not depend on the chain length. We …

On the quantum origin of limit cycles, fixed points, and critical slowing down

S Dutta, S Zhang, M Haque - arXiv preprint arXiv:2405.08866, 2024 - arxiv.org
Among the most iconic features of classical dissipative dynamics are persistent limit-cycle
oscillations and critical slowing down at the onset of such oscillations, where the system …

Quantum Manifestation of the Classical Bifurcation in the Driven Dissipative Bose–Hubbard Dimer

P Muraev, D Maksimov, A Kolovsky - Entropy, 2023 - mdpi.com
We analyze the classical and quantum dynamics of the driven dissipative Bose–Hubbard
dimer. Under variation of the driving frequency, the classical system is shown to exhibit a …

Josephson oscillation in the open two-site Bose-Hubbard system

AR Kolovsky - Europhysics Letters, 2022 - iopscience.iop.org
We analyze Josephson's oscillation of Bose particles in the open two-site Bose-Hubbard
system. First, we excite the system from the vacuum state into a state suitable for observing …

[HTML][HTML] Special issue on current trends in computational and experimental techniques in nonlinear dynamics

P Panayotaros, CL Pando Lambruschini - The European Physical Journal …, 2022 - Springer
We present an introduction and review for the EPJ ST Special Issue on Current Trends in
Computational and Experimental Techniques in nonlinear dynamics. This volume consists …

Josephson oscillation in the dissipative Bose-Hubbard dimer

AR Kolovsky - arXiv preprint arXiv:2202.03035, 2022 - arxiv.org
We analyze Josephson's oscillation of Bose particles in the open (dissipative) Bose-
Hubbard dimer. First, we excite the dimer from the vacuum state into a state suitable for …