期刊
出版社
NATL ACAD SCIENCES
DOI: 10.1073/pnas.2122599119
关键词
universality; spin dynamics; self-similarity; nonequilibrium
资金
- Gordon and Betty Moore Foundation's Emergent Phenomena in Quantum Systems (EPiQS) Initiative [GBMF4302, GBMF8686]
- NSF [NSF PHY-1748958]
- Kavli Institute for Theoretical Physics (KITP) program Spin and Heat Transport in Quantum and Topological Materials
- State of Rhineland Palatinate
We characterize the universal far-from-equilibrium dynamics of a two-dimensional quantum Heisenberg magnet isolated from its environment. We find a long-lived universal prethermal regime characterized by self-similar behavior of spin-spin correlations. The scaling exponents are insensitive to the choice of initial conditions and exhibit qualitatively distinct behavior from other nonequilibrium systems.
We characterize the universal far-from-equilibrium dynamics of the two-dimensional quantum Heisenberg magnet isolated from its environment. For a broad range of initial conditions, we find a long-lived universal prethermal regime characterized by self-similar behavior of spin-spin correlations. We analytically derive the spatial-temporal scaling exponents and find excellent agreement with numerics using phase space methods. The scaling exponents are insensitive to the choice of initial conditions, which include coherent and incoherent spin states with values of total magnetization and energy in a wide range. Compared to previously studied self-similar dynamics in nonequilibrium O(n) field theories and Bose gases, we find qualitatively distinct scaling behavior originating from the presence of spin modes that remain gapless at long times and are protected by the global SU(2) symmetry. Our predictions, which suggest a distinct nonequilibrium universality class from Bose gases and O(n) theories, are readily testable in ultracold atoms simulators of Heisenberg magnets.
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