Nonlinear entanglement growth in inhomogeneous space-times
Entanglement has become central for the characterization of quantum matter both in and out of equilibrium. In a dynamic context, entanglement exhibits universal linear temporal growth in generic systems, which stems from the underlying linear light cones as they occur in planar geometries. Inhomogen...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2020-10-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.2.043036 |
| _version_ | 1827285991428194304 |
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| author | Arkadiusz Kosior Markus Heyl |
| author_facet | Arkadiusz Kosior Markus Heyl |
| author_sort | Arkadiusz Kosior |
| collection | DOAJ |
| description | Entanglement has become central for the characterization of quantum matter both in and out of equilibrium. In a dynamic context, entanglement exhibits universal linear temporal growth in generic systems, which stems from the underlying linear light cones as they occur in planar geometries. Inhomogeneous space-times can lead, however, to strongly bent trajectories. While such bent trajectories crucially impact correlation spreading and therefore the light-cone structure, it has remained elusive how this influences the entanglement dynamics. In this work, we investigate the real-time evolution of the entanglement entropy in one-dimensional quantum systems after quenches that change the underlying space-time background of the Hamiltonian. Concretely, we focus on the Rindler space describing the space-time in close vicinity to a black hole. As a main result, we find that entanglement grows sublinearly in a generic fashion both for interacting and noninteracting quantum matter. We further observe that the asymptotic relaxation becomes exponential, as opposed to algebraic for planar Minkowski space-times, and in the vicinity of the black hole, the relaxation time for large subsystems becomes independent of the subsystem size. We study entanglement dynamics both for the case of noninteracting fermions, allowing for exact numerical solutions, and for random unitary circuits representing a paradigmatic class of ergodic systems. |
| first_indexed | 2024-04-24T10:24:00Z |
| format | Article |
| id | doaj.art-9f0e0764366849dba0006ae519fabdbd |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:24:00Z |
| publishDate | 2020-10-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-9f0e0764366849dba0006ae519fabdbd2024-04-12T17:01:58ZengAmerican Physical SocietyPhysical Review Research2643-15642020-10-012404303610.1103/PhysRevResearch.2.043036Nonlinear entanglement growth in inhomogeneous space-timesArkadiusz KosiorMarkus HeylEntanglement has become central for the characterization of quantum matter both in and out of equilibrium. In a dynamic context, entanglement exhibits universal linear temporal growth in generic systems, which stems from the underlying linear light cones as they occur in planar geometries. Inhomogeneous space-times can lead, however, to strongly bent trajectories. While such bent trajectories crucially impact correlation spreading and therefore the light-cone structure, it has remained elusive how this influences the entanglement dynamics. In this work, we investigate the real-time evolution of the entanglement entropy in one-dimensional quantum systems after quenches that change the underlying space-time background of the Hamiltonian. Concretely, we focus on the Rindler space describing the space-time in close vicinity to a black hole. As a main result, we find that entanglement grows sublinearly in a generic fashion both for interacting and noninteracting quantum matter. We further observe that the asymptotic relaxation becomes exponential, as opposed to algebraic for planar Minkowski space-times, and in the vicinity of the black hole, the relaxation time for large subsystems becomes independent of the subsystem size. We study entanglement dynamics both for the case of noninteracting fermions, allowing for exact numerical solutions, and for random unitary circuits representing a paradigmatic class of ergodic systems.http://doi.org/10.1103/PhysRevResearch.2.043036 |
| spellingShingle | Arkadiusz Kosior Markus Heyl Nonlinear entanglement growth in inhomogeneous space-times Physical Review Research |
| title | Nonlinear entanglement growth in inhomogeneous space-times |
| title_full | Nonlinear entanglement growth in inhomogeneous space-times |
| title_fullStr | Nonlinear entanglement growth in inhomogeneous space-times |
| title_full_unstemmed | Nonlinear entanglement growth in inhomogeneous space-times |
| title_short | Nonlinear entanglement growth in inhomogeneous space-times |
| title_sort | nonlinear entanglement growth in inhomogeneous space times |
| url | http://doi.org/10.1103/PhysRevResearch.2.043036 |
| work_keys_str_mv | AT arkadiuszkosior nonlinearentanglementgrowthininhomogeneousspacetimes AT markusheyl nonlinearentanglementgrowthininhomogeneousspacetimes |