Long-range prethermal phases of nonequilibrium matter

F Machado, DV Else, GD Kahanamoku-Meyer… - Physical Review X, 2020 - APS
We prove the existence of nonequilibrium phases of matter in the prethermal regime of
periodically driven, long-range interacting systems, with power-law exponent α> d, where d …

Strong zero modes in integrable quantum circuits

E Vernier, HC Yeh, L Piroli, A Mitra - Physical Review Letters, 2024 - APS
It is a classic result that certain interacting integrable spin chains host robust edge modes
known as strong zero modes (SZMs). In this Letter, we extend this result to the Floquet …

Gapless topological phases and symmetry-enriched quantum criticality

R Verresen, R Thorngren, NG Jones, F Pollmann - Physical Review X, 2021 - APS
We introduce topological invariants for gapless systems and study the associated boundary
phenomena. More generally, the symmetry properties of the low-energy conformal field …

Strong and almost strong modes of Floquet spin chains in Krylov subspaces

DJ Yates, A Mitra - Physical Review B, 2021 - APS
Integrable Floquet spin chains are known to host strong zero and π modes which are
boundary operators that respectively commute and anticommute with the Floquet unitary …

Pivot Hamiltonians as generators of symmetry and entanglement

N Tantivasadakarn, R Thorngren, A Vishwanath… - SciPost Physics, 2023 - scipost.org
It is well-known that symmetry-protected topological (SPT) phases can be obtained from the
trivial phase by an entangler, a finite-depth unitary operator $ U $. Here, we consider …

Dynamics of almost strong edge modes in spin chains away from integrability

DJ Yates, AG Abanov, A Mitra - Physical Review B, 2020 - APS
Results are presented for the dynamics of an almost strong edge mode which is the
quasistable Majorana edge mode occurring in nonintegrable spin chains. The dynamics of …

Decorated defect construction of gapless-spt states

L Li, M Oshikawa, Y Zheng - SciPost Physics, 2024 - scipost.org
Symmetry protected topological (SPT) phases are one of the simplest, yet nontrivial, gapped
systems that go beyond the Landau paradigm. In this work, we study an extension of the …

Gapless topological behaviors in a long-range quantum spin chain

S Yang, HQ Lin, XJ Yu - Communications Physics, 2025 - nature.com
Topology is a fascinating phenomena in condensed-matter physics typically associated with
a bulk gap. However, recent research shifts focus to quantum critical points or phases that …

Lifetime of almost strong edge-mode operators in one-dimensional, interacting, symmetry protected topological phases

DJ Yates, AG Abanov, A Mitra - Physical Review Letters, 2020 - APS
Almost strong edge-mode operators arising at the boundaries of certain interacting one-
dimensional symmetry protected topological phases with Z 2 symmetry have infinite …

Long-lived period-doubled edge modes of interacting and disorder-free Floquet spin chains

DJ Yates, AG Abanov, A Mitra - Communications Physics, 2022 - nature.com
Floquet spin chains have been a venue for understanding topological states of matter that
are qualitatively different from their static counterparts by, for example, hosting π edge …