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.Abstract
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 |
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