Details
| Original language | English |
|---|---|
| Article number | L012031 |
| Number of pages | 8 |
| Journal | Physical Review Research |
| Volume | 5 |
| Issue number | 1 |
| Publication status | Published - 3 Mar 2023 |
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.
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In: Physical Review Research, Vol. 5, No. 1, L012031, 03.03.2023.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Transport and entanglement growth in long-range random Clifford circuits
AU - Richter, Jonas
AU - Lunt, Oliver
AU - Pal, Arijeet
N1 - Funding Information: Acknowledgments. We sincerely thank L. Masanes for a helpful comment. This work was funded by the European Research Council (ERC) under the European Union's Horizon 2020 Research and Innovation Programme (Grant Agreement No. 853368). J.R. also received funding from the European Union's Horizon Europe Programme under the Marie Skłodowska-Curie Grant Agreement No. 101060162. O.L. acknowledges support by UK Research and Innovation (UKRI) (Grant No. MR/T040947/1).
PY - 2023/3/3
Y1 - 2023/3/3
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85151364457&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2205.06309
DO - 10.48550/arXiv.2205.06309
M3 - Article
AN - SCOPUS:85151364457
VL - 5
JO - Physical Review Research
JF - Physical Review Research
SN - 2643-1564
IS - 1
M1 - L012031
ER -