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Statistical localization: from strong fragmentation to strong edge modes
Tibor Rakovszky, Pablo Sala, Ruben Verresen +2
Certain disorder-free Hamiltonians can be non-ergodic due to a \emph{strong fragmentation} of the Hilbert space into disconnected sectors. Here, we characterize such systems by int…
Confined phases of one-dimensional spinless fermions coupled to gauge theory
Umberto Borla, Ruben Verresen, Fabian Grusdt +1
We investigate a quantum many-body lattice system of one-dimensional spinless fermions interacting with a dynamical gauge field. The gauge field mediates long-range attractio…
Gapless topological phases and symmetry-enriched quantum criticality
Ruben Verresen, Ryan Thorngren, Nick G. Jones +1
We introduce topological invariants for gapless systems and study the associated boundary phenomena. More generally, the symmetry properties of the low-energy conformal field theor…
Ergodicity-breaking arising from Hilbert space fragmentation in dipole-conserving Hamiltonians
Pablo Sala, Tibor Rakovszky, Ruben Verresen +2
We show that the combination of charge and dipole conservation---characteristic of fracton systems---leads to an extensive fragmentation of the Hilbert space, which in turn can lea…
Stable Luttinger liquids and emergent symmetry in constrained quantum chains
Ruben Verresen, Ashvin Vishwanath, Frank Pollmann
We explore the effect of local constraints on one-dimensional bosonic and fermionic ground state phases. Motivated by recent experiments on Rydberg chains, we constrain the occupat…