Master equations and the theory of stochastic path integrals
This review provides a pedagogic and self-contained introduction to master equations and
to their representation by path integrals. Since the 1930s, master equations have served as …
to their representation by path integrals. Since the 1930s, master equations have served as …
Generalized Bose-Einstein condensation into multiple states in driven-dissipative systems
Bose-Einstein condensation, the macroscopic occupation of a single quantum state,
appears in equilibrium quantum statistical mechanics and persists also in the hydrodynamic …
appears in equilibrium quantum statistical mechanics and persists also in the hydrodynamic …
Duality for stochastic models of transport
We study three classes of continuous time Markov processes (inclusion process, exclusion
process, independent walkers) and a family of interacting diffusions (Brownian energy …
process, independent walkers) and a family of interacting diffusions (Brownian energy …
Arrhenius law for interacting diffusive systems
Finding the mean time it takes for a particle to escape from a metastable state due to thermal
fluctuations is a fundamental problem in physics, chemistry, and biology. Here, we consider …
fluctuations is a fundamental problem in physics, chemistry, and biology. Here, we consider …
The bosonic skin effect: Boundary condensation in asymmetric transport
We study the incoherent transport of bosonic particles through a one dimensional lattice with
different left and right hop** rates, as modelled by the asymmetric simple inclusion …
different left and right hop** rates, as modelled by the asymmetric simple inclusion …
Condensation and metastable behavior of non-reversible inclusion processes
In this article, we perform quantitative analyses of metastable behavior of an interacting
particle system known as the inclusion process. For inclusion processes, it is widely …
particle system known as the inclusion process. For inclusion processes, it is widely …
Transport in quantum chains under strong monitoring
We study the transport properties of quantum 1D systems under strong monitoring. The
quantum Zeno effect inhibits transport and induces localization. Beyond the Zeno freezing …
quantum Zeno effect inhibits transport and induces localization. Beyond the Zeno freezing …
Metastability in the reversible inclusion process
We study the condensation regime of the finite reversible inclusion process, ie, the inclusion
process on a finite graph S with an underlying random walk that admits a reversible …
process on a finite graph S with an underlying random walk that admits a reversible …
Hierarchical structure of metastability in the reversible inclusion process: third time scale and complete characterization
S Kim - arxiv preprint arxiv:2308.13842, 2023 - arxiv.org
In this article, we study the hierarchical structure of metastability in the reversible inclusion
process. We fully characterize the third time scale of metastability subject to any underlying …
process. We fully characterize the third time scale of metastability subject to any underlying …