Theory of quantum systems

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Kaleidoscopes of Hofstadter Butterflies and Aharonov-Bohm caging from $2^n$-root topology in decorated square lattices

(2022)

Authors:

AM Marques, J Mögerle, G Pelegrí, S Flannigan, RG Dias, AJ Daley
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Constrained Dynamics and Directed Percolation.

Physical review letters 129:19 (2022) 190601

Authors:

Aydin Deger, Achilleas Lazarides, Sthitadhi Roy

Abstract:

In a recent work [A. Deger et al., Phys. Rev. Lett. 129, 160601 (2022).PRLTAO0031-900710.1103/PhysRevLett.129.160601] we have shown that kinetic constraints can completely arrest many-body chaos in the dynamics of a classical, deterministic, translationally invariant spin system with the strength of the constraint driving a dynamical phase transition. Using extensive numerical simulations and scaling analyses we demonstrate here that this constraint-induced phase transition lies in the directed percolation universality class in both one and two spatial dimensions.
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High-fidelity multiqubit Rydberg gates via two-photon adiabatic rapid passage

Quantum Science and Technology IOP Publishing 7:4 (2022) 045020

Authors:

G Pelegrí, AJ Daley, JD Pritchard
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Propagation of errors and quantitative quantum simulation with quantum advantage

Quantum Science and Technology IOP Publishing 7:4 (2022) 045025

Authors:

S Flannigan, N Pearson, GH Low, A Buyskikh, I Bloch, P Zoller, M Troyer, AJ Daley
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Arresting Classical Many-Body Chaos by Kinetic Constraints.

Physical review letters 129:16 (2022) 160601

Authors:

Aydin Deger, Sthitadhi Roy, Achilleas Lazarides

Abstract:

We investigate the effect of kinetic constraints on classical many-body chaos in a translationally invariant Heisenberg spin chain using a classical counterpart of the out-of-time-ordered correlator (OTOC). The strength of the constraint drives a "dynamical phase transition" separating a delocalized phase, where the classical OTOC propagates ballistically, from a localized phase, where the OTOC does not propagate at all and the entire system freezes. This is unexpected given that all spin configurations are dynamically connected to each other. We show that localization arises due to the dynamical formation of frozen islands, contiguous segments of spins immobile due to the constraints, dominating over the melting of such islands.
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