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Open Quantum Systems Decoherence

ETH-monotonicity in two-dimensional systems

arXiv
Authors: Nilakash Sorokhaibam, Anjan Daimari

Year

2025

Paper ID

17905

Status

Preprint

Abstract Read

~2 min

Abstract Words

101

Citations

N/A

Abstract

We study a recently discovered property of many-body quantum chaotic systems called ETH-monotonicity in two-dimensional systems. Our new results further support ETH-monotonicity in these higher dimensional systems. We show that the flattening rate of the f-function is directly proportional to the number of degrees of freedom in the system, so as L2 where L is the linear size of the system, and in general, expected to be Ld where d is the spatial dimension of the system. We also show that the flattening rate is directly proportional to the particle (or hole) number for systems of same spatial size.

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  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
  • It adds a 2025 reference point for readers tracking recent quantum research.
  • We study a recently discovered property of many-body quantum chaotic systems called ETH-monotonicity in two-dimensional systems.

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