Target space entanglement entropy

Author:

Mazenc Edward A.,Ranard Daniel

Abstract

Abstract We define a notion of target space entanglement entropy. Rather than partitioning the base space on which the theory is defined, we consider partitions of the target space. This is the physical case of interest for first-quantized theories, such as worldsheet string theory. We associate to each subregion of the target space a suitably chosen subalgebra of observables $$ \mathcal{A} $$ A . The entanglement entropy is calculated as the entropy of the density matrix restricted to $$ \mathcal{A} $$ A . As an example, we illustrate our framework by computing spatial entanglement in first-quantized many-body quantum mechanics. The algebra $$ \mathcal{A} $$ A is chosen to reproduce the entanglement entropy obtained by embedding the state in the fixed particle sub-sector of the second-quantized Hilbert space. We then generalize our construction to the quantum field-theoretical setting.

Publisher

Springer Science and Business Media LLC

Subject

Nuclear and High Energy Physics

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Operators in the internal space and locality;Journal of High Energy Physics;2024-08-02

2. Ensemble averaging in JT gravity from entanglement in Matrix Quantum Mechanics;Journal of High Energy Physics;2023-07-13

3. Emergent area laws from entangled matrices;Journal of High Energy Physics;2023-05-10

4. Entanglement entropy in internal spaces and Ryu-Takayanagi surfaces;Journal of High Energy Physics;2023-04-28

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