TY - JOUR

T1 - Hydrodynamics in long-range interacting systems with center-of-mass conservation

AU - Morningstar, Alan

AU - O'Dea, Nicholas

AU - Richter, Jonas

N1 - Funding Information: We thank Paolo Glorioso, Vedika Khemani, Tibor Rakovszky, Pablo Sala, and Alex Schuckert for helpful discussions, and Vedika Khemani and David Huse for previous collaboration on related topics. Numerical simulations were performed on Stanford Research Computing Center's Sherlock cluster. J.R. acknowledges funding from the European Union's Horizon Europe research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 101060162, and the Packard Foundation through a Packard Fellowship in Science and Engineering. N.O'D. was supported by the U.S. Department of Energy, Office of Science, Basic Energy Sciences, under Early Career Award No. DE-SC0021111. A.M. was supported by the Stanford Q-FARM Bloch Postdoctoral Fellowship in Quantum Science and Engineering and the Gordon and Betty Moore Foundation's EPiQS Initiative through Grant No. GBMF8686.

PY - 2023/7/24

Y1 - 2023/7/24

N2 - In systems with a conserved density, the additional conservation of the center of mass (dipole moment) has been shown to slow down the associated hydrodynamics. At the same time, long-range interactions generally lead to faster transport and information propagation. Here, we explore the competition of these two effects and develop a hydrodynamic theory for long-range center-of-mass-conserving systems. We demonstrate that these systems can exhibit a rich dynamical phase diagram containing subdiffusive, diffusive, and superdiffusive behaviors, with continuously varying dynamical exponents. We corroborate our theory by studying quantum lattice models whose emergent hydrodynamics exhibit these phenomena.

AB - In systems with a conserved density, the additional conservation of the center of mass (dipole moment) has been shown to slow down the associated hydrodynamics. At the same time, long-range interactions generally lead to faster transport and information propagation. Here, we explore the competition of these two effects and develop a hydrodynamic theory for long-range center-of-mass-conserving systems. We demonstrate that these systems can exhibit a rich dynamical phase diagram containing subdiffusive, diffusive, and superdiffusive behaviors, with continuously varying dynamical exponents. We corroborate our theory by studying quantum lattice models whose emergent hydrodynamics exhibit these phenomena.

UR - http://www.scopus.com/inward/record.url?scp=85166782685&partnerID=8YFLogxK

U2 - 10.48550/arXiv.2304.12354

DO - 10.48550/arXiv.2304.12354

M3 - Article

AN - SCOPUS:85166782685

VL - 108

JO - Physical Review B

JF - Physical Review B

SN - 2469-9950

IS - 2

M1 - L020304

ER -