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Ergodicity Breaking Arising from Hilbert Space Fragmentation in Dipole-Conserving Hamiltonians

- P. Sala, Tibor Rakovszky, R. Verresen, M. Knap, F. Pollmann
- Mathematics, PhysicsPhysical Review X
- 8 April 2019

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 lead to a breakdown of… Expand

One-dimensional symmetry protected topological phases and their transitions

- R. Verresen, R. Moessner, F. Pollmann
- Physics
- 18 July 2017

We present a unified perspective on symmetry protected topological (SPT) phases in one dimension and address the open question of what characterizes their phase transitions. In the first part of this… Expand

Gapless Topological Phases and Symmetry-Enriched Quantum Criticality

- R. Verresen, Ryan Thorngren, N. G. Jones, F. Pollmann
- PhysicsPhysical Review X
- 16 May 2019

We introduce topological invariants for critical bosonic and fermionic chains. More generally, the symmetry properties of operators in the low-energy conformal field theory (CFT) provide discrete… Expand

Confined Phases of One-Dimensional Spinless Fermions Coupled to Z_{2} Gauge Theory.

- Umberto Borla, R. Verresen, F. Grusdt, S. Moroz
- PhysicsPhysical review letters
- 17 September 2019

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Prediction of Toric Code Topological Order from Rydberg Blockade

- R. Verresen, M. Lukin, A. Vishwanath
- PhysicsPhysical Review X
- 24 November 2020

The physical realization of $\mathbb Z_2$ topological order as encountered in the paradigmatic toric code has proven to be an elusive goal. We show that this phase of matter can be created in a… Expand

Intrinsically gapless topological phases

- Ryan Thorngren, A. Vishwanath, R. Verresen
- PhysicsPhysical Review B
- 15 August 2020

Topology in quantum matter is typically associated with gapped phases. For example, in symmetry protected topological (SPT) phases, the bulk energy gap localizes edge modes near the boundary. In this… Expand

Topology and edge states survive quantum criticality between topological insulators

- R. Verresen
- Physics
- 11 March 2020

It is often thought that emergent phenomena in topological phases of matter are destroyed when tuning to a critical point. In particular, topologically protected edge states supposedly delocalize… Expand

Dynamics of the Kitaev-Heisenberg Model.

- M. Gohlke, R. Verresen, R. Moessner, F. Pollmann
- PhysicsPhysical review letters
- 17 January 2017

TLDR

Statistical localization: From strong fragmentation to strong edge modes

- Tibor Rakovszky, P. Sala, R. Verresen, M. Knap, F. Pollmann
- PhysicsPhysical Review B
- 15 October 2019

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 introducing the notion… Expand

Topology and Edge Modes in Quantum Critical Chains.

- R. Verresen, N. G. Jones, F. Pollmann
- PhysicsPhysical review letters
- 11 September 2017

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