Two-dimensional condensed matter is realized in increasingly diverse forms that are
accessible to experiment and of potential technological value. The properties of these …

We observe the proliferation of vortices in the Berezinskii-Kosterlitz-Thouless regime on a
two-dimensional array of Josephson-coupled Bose-Einstein condensates. As long as the …

In addition to enhancing confinement, restricting optical systems to two dimensions gives
rise to new photonic states, modified transport and distinct nonlinear effects. Here we …

Here we show, by performing ab initio classical field simulations that two distinct superfluid
phases, separated by thermal vortex-antivortex pair creation, exist in experimentally …

In this review, we give an overview of the experimental and theoretical advances in the
physics of quantised vortices in dilute atomic gas Bose–Einstein condensates in a trap** …

We simulate a trapped quasi-two-dimensional Bose gas using a classical field method. To
interpret our results we identify the uniform Berezinskii-Kosterlitz-Thouless (BKT) …

Current experiments on atomic gases in highly anisotropic traps present the opportunity to
study in detail the low temperature phases of two-dimensional inhomogeneous systems …

Numerical simulations of the full quantum properties of interacting many-body systems by
means of field-theoretic Monte Carlo techniques are often limited due to a sign problem …

The study of the Berezinskii-Kosterlitz-Thouless transition in two-dimensional| φ| 4 models
can be performed in several representations, and the amplitude-phase (AP) Madelung …

Topological phases have been a central focus of condensed-matter physics for over 50
years. Along with many experimental applications, they have provided much intellectual …