We consider the Aharonov-Bohm effect on entanglement entropy for one interval in ( $1+1$ ) dimensional conformal field theory on a one dimensional ring. The magnetic field is confined inside the ring, i.e., there is a Wilson loop on the ring. The Aharonov-Bohm phase factor which is proportional to the Wilson loop is represented as insertion of twist operators. We compute exactly the R\'enyi entropy from a four point function of twist operators in a free charged scalar field.We consider the Aharonov-Bohm effect on entanglement entropy for one interval in ($1+1$) dimensional conformal field theory on a one dimensional ring. The magnetic field is confined inside the ring, i.e., there is a Wilson loop on the ring. The Aharonov-Bohm phase factor which is proportional to the Wilson loop is represented as insertion of twist operators. We compute exactly the R\'enyi entropy from a four point function of twist operators in a free charged scalar field.

arXiv:1701.00688Physical review. D/Physical review. D.Sep 22, 20179 citations

The mathematics of quantum information theory

Guillaume Aubrun, Stanisław Szarek

Mathematical surveys and monographsAug 30, 20170 citations

Complementarity in a Closed-Loop Aharonov-Bohm Interferometer

Gyong Luck Khym, Kicheon Kang, Dong-In Chang +2 more

We study complementarity in a two-terminal closed-loop Aharonov-Bohm interferometer with a quantum dot embedded in an arm of the ring and a nearby charge detector capacitively coupled to the quantum dot. We show that perfect charge detection does riot give full information of the electronic path, so it does not completely suppress the interference. We propose that this property can be verified even in the limit of weak charge detection by investigating the dephasing of the first and the second harmonics of the Aharonov-Bohm oscillation. The first harmonic of the AB oscillation is reduced monotonically as a function of the charge detection strength. In contrast, the second harmonic interference remains unaffected due to the fact that charge detection is not able to detect the electronic path responsible for the second harmonic. Our theory confirms that the particle-like behavior of an electron emerges from the path information itself rather than from the disturbance.We study complementarity in a two-terminal closed-loop Aharonov-Bohm interferometer with a quantum dot embedded in an arm of the ring and a nearby charge detector capacitively coupled to the quantum dot. We show that perfect charge detection does riot give full information of the electronic path, so it does not completely suppress the interference. We propose that this property can be verified even in the limit of weak charge detection by investigating the dephasing of the first and the second harmonics of the Aharonov-Bohm oscillation. The first harmonic of the AB oscillation is reduced monotonically as a function of the charge detection strength. In contrast, the second harmonic interference remains unaffected due to the fact that charge detection is not able to detect the electronic path responsible for the second harmonic. Our theory confirms that the particle-like behavior of an electron emerges from the path information itself rather than from the disturbance.

Journal of the Korean Physical SocietyDec 15, 20080 citations

Algebraic Quantum Information Theory

Keye Martin

Oct 30, 20170 citations

We consider the Aharonov-Bohm effect on entanglement entropy for one interval in (

1+1

) dimensional conformal field theory on a one dimensional ring. The magnetic field is confined inside the ring, i.e., there is a Wilson loop on the ring. The Aharonov-Bohm phase factor which is proportional to the Wilson loop is represented as insertion of twist operators. We compute exactly the R\'enyi entropy from a four point function of twist operators in a free charged scalar field.