Richter, Jonas;
Lunt, Oliver;
Pal, Arijeet;
(2023)
Transport and entanglement growth in long-range random Clifford circuits.
Physical Review Research
, 5
(1)
, Article L012031. 10.1103/PhysRevResearch.5.L012031.
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Abstract
Conservation laws can constrain entanglement dynamics in isolated quantum systems, manifest in a slowdown of higher Rényi entropies. Here, we explore this phenomenon in a class of long-range random Clifford circuits with U(1) symmetry where transport can be tuned from diffusive to superdiffusive. We unveil that the different hydrodynamic regimes reflect themselves in the asymptotic entanglement growth according to S(t)∝ t1/z where the dynamical transport exponent z depends on the probability ∝ r-α of gates spanning a distance r. For sufficiently small α, we show that the presence of hydrodynamic modes becomes irrelevant such that S(t) behaves similarly in circuits with and without conservation law. We explain our findings in terms of the inhibited operator spreading in U(1)-symmetric Clifford circuits where the emerging light cones can be understood in the context of classical Lévy flights. Our Letter sheds light on the connections between Clifford circuits and more generic many-body quantum dynamics.
| Type: | Article |
|---|---|
| Title: | Transport and entanglement growth in long-range random Clifford circuits |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1103/PhysRevResearch.5.L012031 |
| Publisher version: | http://dx.doi.org/10.1103/physrevresearch.5.l01203... |
| Language: | English |
| Additional information: | Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. |
| Keywords: | Science & Technology, Physical Sciences, Physics, Multidisciplinary, Physics, MANY-BODY LOCALIZATION, QUANTUM INFORMATION, THERMALIZATION, PROPAGATION, DYNAMICS |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Physics and Astronomy |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10190120 |
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