2023/02/27 by Xin Jiang, Peng Wang, Jiang, Xin +5
Computer Science · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum many-body systems
paper · pdf · doi:10.48550/arxiv.2302.13872
openalex publication_date 2023/02/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
In a previous work arXiv:1811.07758 about the TT deformed CFT2, from the consistency requirement of the entanglement entropy theory, we found that in addition to the usual spacelike entanglement entropy, a timelike entanglement entropy must be introduced and treated equally. Inspired by the recent explicit constructions of the timelike entanglement entropy and its bulk dual, we provide a comprehensive analysis of the timelike and spacelike entanglement entropies in the TT deformed finite size system and finite temperature system. The results confirm our prediction that in the finite size system only the timelike entanglement entropy receives a correction, while in the finite temperature system only the usual spacelike entanglement entropy gets a correction. These findings affirm the necessity of a complete measure including both spacelike and timelike entanglement entropies.