Localization and Symmetry Breaking in the Quantum Quasiperiodic Ising Glass
Quasiperiodic modulation can prevent isolated quantum systems from equilibrating by localizing their degrees of freedom. In this article, we show that such systems can exhibit dynamically stable long-range orders forbidden in equilibrium. Specifically, we show that the interplay of symmetry breaking...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2017-09-01
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| Series: | Physical Review X |
| Online Access: | http://doi.org/10.1103/PhysRevX.7.031061 |
| _version_ | 1818900712259584000 |
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| author | A. Chandran C. R. Laumann |
| author_facet | A. Chandran C. R. Laumann |
| author_sort | A. Chandran |
| collection | DOAJ |
| description | Quasiperiodic modulation can prevent isolated quantum systems from equilibrating by localizing their degrees of freedom. In this article, we show that such systems can exhibit dynamically stable long-range orders forbidden in equilibrium. Specifically, we show that the interplay of symmetry breaking and localization in the quasiperiodic quantum Ising chain produces a quasiperiodic Ising glass stable at all energy densities. The glass order parameter vanishes with an essential singularity at the melting transition with no signatures in the equilibrium properties. The zero-temperature phase diagram is also surprisingly rich, consisting of paramagnetic, ferromagnetic, and quasiperiodically alternating ground-state phases with extended, localized, and critically delocalized low-energy excitations. The system exhibits an unusual quantum Ising transition whose properties are intermediate between those of the clean and infinite randomness Ising transitions. Many of these results follow from a geometric generalization of the Aubry-André duality that we develop. The quasiperiodic Ising glass may be realized in near-term quantum optical experiments. |
| first_indexed | 2024-12-19T20:08:13Z |
| format | Article |
| id | doaj.art-565b339f878b4d65a2a0655153a5af76 |
| institution | Directory Open Access Journal |
| issn | 2160-3308 |
| language | English |
| last_indexed | 2024-12-19T20:08:13Z |
| publishDate | 2017-09-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review X |
| spelling | doaj.art-565b339f878b4d65a2a0655153a5af762022-12-21T20:07:23ZengAmerican Physical SocietyPhysical Review X2160-33082017-09-017303106110.1103/PhysRevX.7.031061Localization and Symmetry Breaking in the Quantum Quasiperiodic Ising GlassA. ChandranC. R. LaumannQuasiperiodic modulation can prevent isolated quantum systems from equilibrating by localizing their degrees of freedom. In this article, we show that such systems can exhibit dynamically stable long-range orders forbidden in equilibrium. Specifically, we show that the interplay of symmetry breaking and localization in the quasiperiodic quantum Ising chain produces a quasiperiodic Ising glass stable at all energy densities. The glass order parameter vanishes with an essential singularity at the melting transition with no signatures in the equilibrium properties. The zero-temperature phase diagram is also surprisingly rich, consisting of paramagnetic, ferromagnetic, and quasiperiodically alternating ground-state phases with extended, localized, and critically delocalized low-energy excitations. The system exhibits an unusual quantum Ising transition whose properties are intermediate between those of the clean and infinite randomness Ising transitions. Many of these results follow from a geometric generalization of the Aubry-André duality that we develop. The quasiperiodic Ising glass may be realized in near-term quantum optical experiments.http://doi.org/10.1103/PhysRevX.7.031061 |
| spellingShingle | A. Chandran C. R. Laumann Localization and Symmetry Breaking in the Quantum Quasiperiodic Ising Glass Physical Review X |
| title | Localization and Symmetry Breaking in the Quantum Quasiperiodic Ising Glass |
| title_full | Localization and Symmetry Breaking in the Quantum Quasiperiodic Ising Glass |
| title_fullStr | Localization and Symmetry Breaking in the Quantum Quasiperiodic Ising Glass |
| title_full_unstemmed | Localization and Symmetry Breaking in the Quantum Quasiperiodic Ising Glass |
| title_short | Localization and Symmetry Breaking in the Quantum Quasiperiodic Ising Glass |
| title_sort | localization and symmetry breaking in the quantum quasiperiodic ising glass |
| url | http://doi.org/10.1103/PhysRevX.7.031061 |
| work_keys_str_mv | AT achandran localizationandsymmetrybreakinginthequantumquasiperiodicisingglass AT crlaumann localizationandsymmetrybreakinginthequantumquasiperiodicisingglass |