ePrints@IIScePrints@IISc Home | About | Browse | Latest Additions | Advanced Search | Contact | Help

Eigenstate capacity and Page curve in fermionic Gaussian states

Bhattacharjee, B (2021) Eigenstate capacity and Page curve in fermionic Gaussian states. In: Physical Review B, 104 (21).

Full text not available from this repository.
Official URL: https://doi.org/10.1103/PhysRevB.104.214306


Capacity of entanglement (CoE), an information-theoretic measure of entanglement, defined as the variance of modular Hamiltonian, is known to capture the deviation from the maximal entanglement. We derive an exact expression for the average eigenstate CoE in fermionic Gaussian states as a finite series, valid for arbitrary bi-partition of the total system. Further, we consider the complex Sachdev-Ye-Kitaev (SYK2) model in the thermodynamic limit and we obtain a closed-form expression of average CoE. In this limit, the variance of the average CoE becomes independent of the system size. Moreover, when the subsystem size is half of the total system, the leading volume-law coefficient approaches a value of �2/8�1. We identify this as a distinguishing feature between integrable and quantum-chaotic systems. We confirm our analytical results by numerical computations. © 2021 American Physical Society

Item Type: Journal Article
Publication: Physical Review B
Publisher: American Physical Society
Additional Information: The copyright for this article belongs to American Physical Society
Keywords: Information theory; Quantum entanglement, Average capacities; Closed-form expression; Eigenstates; Finite series; Gaussian state; Information theoretic measure; Modulars; Quantum chaotic systems; System size; Thermodynamic limits, Chaotic systems
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited: 20 Jan 2022 06:54
Last Modified: 20 Jan 2022 06:54
URI: http://eprints.iisc.ac.in/id/eprint/70994

Actions (login required)

View Item View Item