Journal
PHYSICAL REVIEW LETTERS
Volume 120, Issue 20, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.120.200602
Keywords
-
Categories
Funding
- Israel Science Foundation [227/15, 1243/13]
- German Israeli Foundation [I-1259-303.10]
- US-Israel Binational Science Foundation [2014262, 2016255]
- Israel Ministry of Science and Technology [3-12419]
Ask authors/readers for more resources
Similarly to the system Hamiltonian, a subsystem's reduced density matrix is composed of blocks characterized by symmetry quantum numbers (charge sectors). We present a geometric approach for extracting the contribution of individual charge sectors to the subsystem's entanglement measures within the replica trick method, via threading appropriate conjugate Aharonov-Bohm fluxes through a multisheet Riemann surface. Specializing to the case of 1 + 1D conformal field theory, we obtain general exact results for the entanglement entropies and spectrum, and apply them to a variety of systems, ranging from free and interacting fermions to spin and parafermion chains, and verify them numerically. We find that the total entanglement entropy, which scales as In L. is composed of root ln L contributions of individual subsystem charge sectors for interacting fermion chains, or even O(L-0) contributions when total spin conservation is also accounted for. We also explain how measurements of the contribution to the entanglement from separate charge sectors can be performed experimentally with existing techniques.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available