Journal
PHYSICAL REVIEW B
Volume 100, Issue 23, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.100.235146
Keywords
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Funding
- Israel Science Foundation [227/15]
- German Israeli Foundation [I-1259-303.10]
- U.S.-Israel Binational Science Foundation [2016224]
- Israel Ministry of Science and Technology [3-12419]
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Quantum entanglement and its main quantitative measures, the entanglement entropy and entanglement negativity, play a central role in many-body physics. An interesting twist arises when the system considered has symmetries leading to conserved quantities: Recent studies introduced a way to define, represent in field theory, calculate for 1+1D conformal systems, and measure, the contribution of individual charge sectors to the entanglement measures between different parts of a system in its ground state. In this paper, we apply these ideas to the time evolution of the charge-resolved contributions to the entanglement entropy and negativity after a local quantum quench. We employ conformal field-theory techniques and find that the known dependence of the total entanglement on time after a quench S-A similar to ln(t), results from similar to root ln(t ) significant charge sectors, each of which contributes similar to root ln(t ) to the entropy. We compare our calculations to numerical results obtained by the time-dependent density matrix renormalization-group algorithm and exact solution in the noninteracting limit, finding good agreement between all these methods.
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