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2012

Momentum-space entanglement for interacting fermions at finite density

Hsu, Ting-Chen Leo, McDermott, Michael B., Van Raamsdonk, Mark

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We investigate the entanglement between individual field theory modes in finite-density systems of interacting relativistic and non-relativistic fermions in one spatial dimension.

We calculate the entanglement entropy for a single field theory mode and the mutual information between any two modes.
The calculation is perturbative in the four-fermion (two-body) coupling, with the leading contribution at order lambda^2 log(lambda^2).
At this leading order, the perturbative expression for the entanglement entropy of a mode diverges logarithmically as the momentum of the mode approaches the Fermi surface from above or below.

Momentum-space entanglement for interacting fermions at finite density · Around

Built on

R. Shankar, “Renormalization group approach to interacting fermions,” Rev. Mod. Phys. 66
1994
Earlier work this paper cites.
Nielsen, Michael A. and Chuang, Isaac L., “Quantum computation and quantum information,” Cambridge University Press (2000)
2000
Earlier work this paper cites.
P. Calabrese, J. L. Cardy, “Entanglement entropy and quantum field theory,” J. Stat. Mech. 0406
2004
Earlier work this paper cites.

Similar

H. Casini, M. Huerta, “A Finite entanglement entropy and the c-theorem,” Phys. Lett. B600
2004
Cited alongside, same era.
Y. Shi, “Entanglement in Relativistic Quantum Field Theory,” Phys. Rev. D 70
2004
Cited alongside, same era.

Then

A. Kitaev and J. Preskill, “Topological entanglement entropy,” Phys. Rev. Lett. 96
2006
Later among the works it cites.
V. Balasubramanian, M. B. McDermott and M. Van Raamsdonk, “Momentum-space entanglement and renormalization in quantum field theory,” Phys. Rev. D 86
Original
2012
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