Emergent tracer dynamics in constrained quantum systems
نویسندگان
چکیده
We show how the tracer motion of tagged, distinguishable particles can effectively describe transport in various homogeneous quantum many-body systems with constraints. consider spinful on a one-dimensional lattice subjected to constrained spin interactions, such that some or even all multipole moments effective pattern formed by are conserved. On one hand, when - and thus entire conserved, dynamical correlations reduce identically, generically yielding subdiffusive exponent $z=4$. This provides common framework understand dynamics several models, including models XNOR $tJ_z$ random unitary circuit conserved use picture obtain exact expressions for their late-time correlations. Our results also be extended integrable feature but whose is insensitive pattern, which includes example folded XXZ chain. other only finite number described convolution internal hydrodynamics distribution function. As consequence, we find universality robust generic if at least quadrupole moment remains In cases where total magnetization dipole constant, uncover an intriguing coexistence two processes equal different scaling functions, relate phase first order transition.
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ژورنال
عنوان ژورنال: Physical review
سال: 2022
ISSN: ['0556-2813', '1538-4497', '1089-490X']
DOI: https://doi.org/10.1103/physrevb.106.094303