We study a one-dimensional ladder of two coupled XXZ spin chains and identify several
distinct gapless symmetry-enriched critical phases. These have the same unbroken …

Arrays of Rydberg atoms in the blockade regime realize a wealth of strongly correlated
quantum physics, but theoretical analysis beyond the chain is rather difficult. Here we study …

Dressed Rydberg atoms in optical lattices are a promising platform for the quantum
simulation of intriguing phenomena emerging in strongly interacting systems. Relevant to …

We consider a system of interacting spinless fermions on a two-leg triangular ladder with π/2
magnetic flux per triangular plaquette. Microscopically, the system exhibits a U (1) symmetry …

A programmable quantum simulator using Rydberg-atom array provides a promising route
to demystifying quantum many-body physics in strongly correlated systems. Motivated by the …

Using the density matrix renormalization group algorithm, we map the ground-state phase
diagram of a two-leg Rydberg ladder array with lattice spacings $ a_x= 2a_y $. We identify …

In this thesis, we study many–body systems both in and out of equilibrium. Though these two
setups are fundamentally different from each other, the phenomena that emerge due to …