activity
20182026
most citedSpontaneous breaking of multipole symmetries

68 citations · 155 across the 15 of their papers we have counts for

collaborators

15 papers

cond-mat.stat-mech2026

Long-lived memory in sliding spin chains

Charles Stahl, Ethan Lake

We study a system of two ferromagnetic one-dimensional Ising chains coupled to a thermal bath, which are driven out of equilibrium by being moved past one another at a constant spe…

quant-ph2026

Kinetics of sliding-window quantum error correction

Adithya Sriram, Charles Stahl, Aleksander Kubica +1

Practical implementations of quantum error correction (QEC) require rapid measurement and continuous processing of the syndrome information in order to prevent a backlog of unproce…

cond-mat.stat-mech2026

Brownian ratchets and pumps universally simulate many-body active dynamics

Charles Stahl, Ethan Lake, Vedika Khemani

Active systems can exhibit a broad range of phenomena forbidden in equilibrium. Their dynamics are often specified by abstract local update rules, and it is generally unclear when…

cond-mat.stat-mech2026

Slow mixing and emergent one-form symmetries in three-dimensional gauge theory

Charles Stahl, Benedikt Placke, Vedika Khemani +1

Symmetry-breaking order at low temperatures is often accompanied by slow relaxation dynamics, due to diverging free-energy barriers arising from interfaces between different ordere…

cond-mat.stat-mech2025★ 4 cited

Strong Hilbert space fragmentation and fractons from subsystem and higher-form symmetries

Charles Stahl, Oliver Hart, Alexey Khudorozhkov +1

We introduce a new route to Hilbert space fragmentation in high dimensions leveraging the group-word formalism. We show that taking strongly fragmented models in one dimension and…

cond-mat.str-el2025

Fractonic Fractional Quantum Hall Effect

Justin Schirmann, Peru d'Ornellas, Charles Stahl +1

In non-interacting systems, disorder can drive a trivial phase into a topological one. However little is known how to construct a fractional quantum Hall ground-state, a paradigmat…

cond-mat.stat-mech2024★ 6 cited

Towards absolutely stable ergodicity breaking in two and three dimensions

Charles Stahl, Oliver Hart, Rahul Nandkishore

We propose new physically reasonable systems capable of avoiding ergodicity at infinite time in the thermodynamic limit, even with generic perturbations and when coupled to a heat…

cond-mat.stat-mech2024★ 5 cited

Robust Hilbert space fragmentation in group-valued loop models

Alexey Khudorozhkov, Charles Stahl, Oliver Hart +1

We introduce a large class of models exhibiting robust ergodicity breaking in quantum dynamics. Our work is inspired by recent discussions of "topologically robust Hilbert space fr…

quant-ph2023★ 7 cited

Single-Shot Quantum Error Correction in Intertwined Toric Codes

Charles Stahl

We construct a new subsystem code in three dimensions that exhibits single-shot error correction in a user-friendly and transparent way. As this code is a subsystem version of coup…

cond-mat.stat-mech2023★ 15 cited

Topologically stable ergodicity breaking from emergent higher-form symmetries in generalized quantum loop models

Charles Stahl, Rahul Nandkishore, Oliver Hart

We present a set of generalized quantum loop models which provably exhibit topologically stable ergodicity breaking. These results hold for both periodic and open boundary conditio…

cond-mat.stat-mech2023★ 22 cited

Fracton superfluid hydrodynamics

Charles Stahl, Marvin Qi, Paolo Glorioso +2

We examine the hydrodynamics of systems with spontaneously broken multipolar symmetries using a systematic effective field theory. We focus on the simplest non-trivial setting: a s…

quant-ph2022★ 4 cited

Self-correction from higher-form symmetry protection on a boundary

Charles Stahl

Recent work has shown that a self-correcting memory can exist in 3 spatial dimensions, provided it is protected by a 1-form symmetry. Requiring that a system's dynamics obey this t…

cond-mat.stat-mech2021★ 68 cited

Spontaneous breaking of multipole symmetries

Charles Stahl, Ethan Lake, Rahul Nandkishore

Multipole symmetries are of interest both as a window on fracton physics and as a crucial ingredient in realizing new universality classes for quantum dynamics. Here we address the…

quant-ph2021★ 15 cited

Symmetry protected self correcting quantum memory in three space dimensions

Charles Stahl, Rahul Nandkishore

Whether self correcting quantum memories can exist at non-zero temperature in a physically reasonable setting remains a great open problem. It has recently been argued [1] that sym…

cond-mat.stat-mech2018★ 9 cited

Asymmetric butterfly velocities in Hamiltonian and circuit models

Charles Stahl, Vedika Khemani, David A. Huse

The butterfly velocity has been proposed as a characteristic velocity for information propagation in local systems. It can be measured by the ballistic spreading of local ope…