Complex Operator Growth in Dissipative Quantum Systems
Hikaru Wakaura, Taiki Tanimae · 2026
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Description
Wakaura and Tanimae study how operator growth changes when a quantum system leaks into its surroundings. In closed chaotic systems, growth rates are thought to rise in a straight line. Coupling to a steady environment makes the math non-Hermitian and breaks that picture.
Using the Arnoldi method on the open-system generator, they define two complex growth rates. For dephasing-type baths, they prove one rate tracks how fast the operator gains weight in loss channels. A second result holds under a symmetry condition on the setup. They test the claims on a one-qubit model that breaks a commonly assumed symmetry.
Catalog record
| CREATOR | Hikaru Wakaura, Taiki Tanimae |
|---|---|
| YEAR | 2026 |
| COLLECTION | PAPERS |
| FORMAT | TXT |
| FILE SIZE | 18 KB |
| VERSION | 1.0 |
| LICENSE | CC BY 4.0 |
| RIGHTS | CC BY |
| SOURCE | Europe PMC |