Hierarchical generalization of dual unitarity

XH Yu, Z Wang, P Kos - Quantum, 2024 - quantum-journal.org
Quantum dynamics with local interactions in lattice models display rich physics, but is
notoriously hard to study. Dual-unitary circuits allow for exact answers to interesting physical …

Localized dynamics in the Floquet quantum East model

B Bertini, P Kos, T Prosen - Physical review letters, 2024 - APS
We introduce and study the discrete-time version of the quantum East model, an interacting
quantum spin chain inspired by simple kinetically constrained models of classical glasses …

Exact results on the dynamics of the stochastic Floquet-East model

C De Fazio, JP Garrahan, K Klobas - Journal of Physics A …, 2024 - iopscience.iop.org
We introduce a stochastic generalisation of the classical deterministic Floquet-East model, a
discrete circuit with the same kinetic constraint as the East model of glasses. We prove …

State-dependent mobility edge in kinetically constrained models

M Badbaria, N Pancotti, R Singh, J Marino… - arXiv preprint arXiv …, 2024 - arxiv.org
In this work, we show that the kinetically constrained quantum East model lies between a
quantum scarred and a many-body localized system featuring an unconventional type of …

Cellular automata in dimensions and ground states of spin models in dimensions

K Sfairopoulos, L Causer, JF Mair… - arXiv preprint arXiv …, 2023 - arxiv.org
We show how the trajectories of $ d $-dimensional cellular automata (CA) can be used to
determine the ground states of $(d+ 1) $-dimensional classical spin models, and we …

Reply to “Comment on 'Exact large deviation statistics and trajectory phase transition of a deterministic boundary driven cellular automaton'”

B Buča, JP Garrahan, T Prosen, M Vanicat - Physical Review E, 2023 - APS
We reply to Whitelam's Comment [Phys. Rev. E 108, 036105 (2023) 2470-0045
10.1103/PhysRevE. 108.036105] on our paper [Phys. Rev. E 100, 020103 (R)(2019) 2470 …

Operator dynamics and entanglement in space-time dual Hadamard lattices

PW Claeys, A Lamacraft - arXiv preprint arXiv:2406.03781, 2024 - arxiv.org
Many-body quantum dynamics defined on a spatial lattice and in discrete time--either as
stroboscopic Floquet systems or quantum circuits--has been an active area of research for …

Geometric constructions of generalized dual-unitary circuits from biunitarity

MA Rampp, SA Rather, PW Claeys - arXiv preprint arXiv:2411.07783, 2024 - arxiv.org
We present a general framework for constructing solvable lattice models of chaotic many-
body quantum dynamics with multiple unitary directions using biunitary connections. We …

[PDF][PDF] Disorder-free non-ergodic quantum dynamics in Noisy Intermediate Scale Quantum devices

RJV Tortora - inspirehep.net
Disorder-free non-ergodic quantum dynamics in Noisy Intermediate Scale Quantum devices
Page 1 Disorder-free non-ergodic quantum dynamics in Noisy Intermediate Scale Quantum …