%0 Generic %1 dadras2020perturbative %A Dadras, Pouria %A Kitaev, Alexei %D 2020 %K arxiv %T Perturbative calculations of entanglement entropy %U http://arxiv.org/abs/2011.09622 %X This paper is an attempt to extend the recent understanding of the Page curve for evaporating black holes to more general systems coupled to a heat bath. Although calculating the von Neumann entropy by the replica trick is usually a challenge, we have identified two solvable cases. For the initial section of the Page curve, we sum up the perturbation series in the system-bath coupling $\kappa$; the most interesting contribution is of order $2s$, where $s$ is the number of replicas. For the saturated regime, we consider the effect of an external impulse on the entropy at a later time and relate it to OTOCs. A significant simplification occurs in the maximal chaos case such that the effect may be interpreted in terms of an intermediate object, analogous to the branching surface of a replica wormhole.

@misc{dadras2020perturbative, abstract = {This paper is an attempt to extend the recent understanding of the Page curve for evaporating black holes to more general systems coupled to a heat bath. Although calculating the von Neumann entropy by the replica trick is usually a challenge, we have identified two solvable cases. For the initial section of the Page curve, we sum up the perturbation series in the system-bath coupling $\kappa$; the most interesting contribution is of order $2s$, where $s$ is the number of replicas. For the saturated regime, we consider the effect of an external impulse on the entropy at a later time and relate it to OTOCs. A significant simplification occurs in the maximal chaos case such that the effect may be interpreted in terms of an intermediate object, analogous to the branching surface of a replica wormhole.}, added-at = {2020-11-20T03:46:36.000+0100}, author = {Dadras, Pouria and Kitaev, Alexei}, biburl = {https://www.bibsonomy.org/bibtex/200cf41446cb795032289c09bd55bf9d9/nimaaj}, description = {Perturbative calculations of entanglement entropy}, interhash = {a37dfb8bf19ca7f4df88fea0c40c53a0}, intrahash = {00cf41446cb795032289c09bd55bf9d9}, keywords = {arxiv}, note = {cite arxiv:2011.09622Comment: 17 pages, 7 figures}, timestamp = {2020-11-20T03:46:36.000+0100}, title = {Perturbative calculations of entanglement entropy}, url = {http://arxiv.org/abs/2011.09622}, year = 2020 }