Entanglement and complexity of purification in (1+1)-dimensional free conformal field theories
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Entanglement and complexity of purification in (1+1)-dimensional free conformal field theories. / Camargo, Hugo A.; Hackl, Lucas; Heller, Michal P.; Jahn, Alexander; Takayanagi, Tadashi; Windt, Bennet.
In: Physical Review Research, Vol. 3, No. 1, 013248, 17.03.2021.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - Entanglement and complexity of purification in (1+1)-dimensional free conformal field theories
AU - Camargo, Hugo A.
AU - Hackl, Lucas
AU - Heller, Michal P.
AU - Jahn, Alexander
AU - Takayanagi, Tadashi
AU - Windt, Bennet
N1 - Publisher Copyright: © 2021 authors.
PY - 2021/3/17
Y1 - 2021/3/17
N2 - Finding pure states in an enlarged Hilbert space that encode the mixed state of a quantum field theory as a partial trace is necessarily a challenging task. Nevertheless, such purifications play the key role in characterizing quantum information-theoretic properties of mixed states via entanglement and complexity of purifications. In this article, we analyze these quantities for two intervals in the vacuum of free bosonic and Ising conformal field theories using the most general Gaussian purifications. We provide a comprehensive comparison with existing results and identify universal properties. We further discuss important subtleties in our setup: the massless limit of the free bosonic theory and the corresponding behavior of the mutual information, as well as the Hilbert space structure under the Jordan-Wigner mapping in the spin chain model of the Ising conformal field theory.
AB - Finding pure states in an enlarged Hilbert space that encode the mixed state of a quantum field theory as a partial trace is necessarily a challenging task. Nevertheless, such purifications play the key role in characterizing quantum information-theoretic properties of mixed states via entanglement and complexity of purifications. In this article, we analyze these quantities for two intervals in the vacuum of free bosonic and Ising conformal field theories using the most general Gaussian purifications. We provide a comprehensive comparison with existing results and identify universal properties. We further discuss important subtleties in our setup: the massless limit of the free bosonic theory and the corresponding behavior of the mutual information, as well as the Hilbert space structure under the Jordan-Wigner mapping in the spin chain model of the Ising conformal field theory.
UR - http://www.scopus.com/inward/record.url?scp=85105257518&partnerID=8YFLogxK
U2 - 10.1103/PhysRevResearch.3.013248
DO - 10.1103/PhysRevResearch.3.013248
M3 - Journal article
AN - SCOPUS:85105257518
VL - 3
JO - Physical Review Research
JF - Physical Review Research
SN - 2643-1564
IS - 1
M1 - 013248
ER -
ID: 284295378