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Entanglement Hamiltonian of Many-Body Dynamics in Strongly Correlated Systems.
- Source :
-
Physical Review Letters . 3/13/2020, Vol. 124 Issue 10, p1-1. 1p. - Publication Year :
- 2020
-
Abstract
- A powerful perspective in understanding nonequilibrium quantum dynamics is through the time evolution of its entanglement content. Yet apart from a few guiding principles for the entanglement entropy, to date, much less is known about the refined characteristics of entanglement propagation. Here, we unveil signatures of the entanglement evolving and information propagating out of equilibrium, from the view of the entanglement Hamiltonian. We investigate quantum quench dynamics of prototypical Bose-Hubbard model using state-of-the-art numerical technique combined with conformal field theory. Before reaching equilibrium, it is found that a current operator emerges in the entanglement Hamiltonian, implying that entanglement spreading is carried by particle flow. In the long-time limit the subsystem enters a steady phase, evidenced by the dynamic convergence of the entanglement Hamiltonian to the expectation of a thermal ensemble. Importantly, the entanglement temperature in steady state is spatially independent, which provides an intuitive trait of equilibrium. These findings not only provide crucial information on how equilibrium statistical mechanics emerges in many-body dynamics, but also add a tool to exploring quantum dynamics from the perspective of the entanglement Hamiltonian. [ABSTRACT FROM AUTHOR]
- Subjects :
- *QUANTUM theory
*HAMILTONIAN systems
*STATISTICAL equilibrium
*GRANULAR flow
Subjects
Details
- Language :
- English
- ISSN :
- 00319007
- Volume :
- 124
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- Physical Review Letters
- Publication Type :
- Academic Journal
- Accession number :
- 142263346
- Full Text :
- https://doi.org/10.1103/PhysRevLett.124.100605