Complexity for charged thermofield double states
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Publication:2185324
DOI10.1007/JHEP01(2020)120zbMATH Open1434.81100arXiv1910.08806WikidataQ126300058 ScholiaQ126300058MaRDI QIDQ2185324
Author name not available (Why is that?)
Publication date: 4 June 2020
Published in: (Search for Journal in Brave)
Abstract: We study Nielsen's circuit complexity for a charged thermofield double state (cTFD) of free complex scalar quantum field theory in the presence of background electric field. We show that the ratio of the complexity of formation for cTFD state to the thermodynamic entropy is finite and it depends just on the temperature and chemical potential. Moreover, this ratio smoothly approaches the value for real scalar theory. We compare our field theory calculations with holographic complexity of charged black holes and confirm that the same cost function which is used for neutral case continues to work in presence of background field. For , the complexity of cTFD state evolves in time and contrasts with holographic results, it saturates after a time of the order of inverse temperature. This discrepancy can be understood by the fact that holographic QFTs are actually strong interacting theories, not free ones.
Full work available at URL: https://arxiv.org/abs/1910.08806
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