Pal, A;
Lee, K;
Changlani, H;
(2021)
Frustration-induced Emergent Hilbert Space Fragmentation.
Physical Review B
, 103
(23)
, Article 235133. 10.1103/PhysRevB.103.23513.
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Abstract
Although most quantum systems thermalize locally on short timescales independent of initial conditions, recent developments have shown this is not always the case. Lattice geometry and quantum mechanics can conspire to produce constrained quantum dynamics and associated glassy behavior, a phenomenon that falls outside the rubric of the eigenstate thermalization hypothesis. Constraints “fragment” the many-body Hilbert space due to which some states remain insulated from others and the system fails to attain thermal equilibrium. Such fragmentation is a hallmark of geometrically frustrated magnets with low-energy “icelike manifolds” exhibiting a broad range of relaxation times for different initial states. Focusing on the highly frustrated kagome lattice, we demonstrate these phenomena in the Balents-Fisher-Girvin Hamiltonian (easy-axis regime), and a three-coloring model (easy-plane regime), both with constrained Hilbert spaces. We study their level statistics and relaxation dynamics to develop a coherent picture of fragmentation in various limits of the XXZ model on the kagome lattice.
| Type: | Article |
|---|---|
| Title: | Frustration-induced Emergent Hilbert Space Fragmentation |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1103/PhysRevB.103.23513 |
| Publisher version: | https://doi.org/10.1103/PhysRevB.103.23513 |
| Language: | English |
| Additional information: | This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions. |
| 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.ucl.ac.uk/id/eprint/10117346 |
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