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  Network architecture of energy landscapes in mesoscopic quantum systems

Poteshman, A. N., Tang, E., Papadopoulos, L., Bassett, D. S., & Bassett, L. C. (2019). Network architecture of energy landscapes in mesoscopic quantum systems. New Journal of Physics, 21(12): 123049. doi:10.1088/1367-2630/ab5c9f.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0005-C43F-8 Version Permalink: http://hdl.handle.net/21.11116/0000-0005-C440-5
Genre: Journal Article

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 Creators:
Poteshman, A. N., Author
Tang, Evelyn1, Author              
Papadopoulos, L., Author
Bassett, D. S., Author
Bassett, L. C., Author
Affiliations:
1Department of Living Matter Physics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2570692              

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Free keywords: mesoscopic physics; network science; quantum transport; Rentian scaling
 Abstract: Mesoscopic quantum systems exhibit complex many-body quantum phenomena, where interactions between spins and charges give rise to collective modes and topological states. Even simple, non-interacting theories display a rich landscape of energy states-distinct many-particle configurations connected by spin- and energy-dependent transition rates. The ways in which these energy states interact is difficult to characterize or predict, especially in regimes of frustration where many-body effects create a multiply degenerate landscape. Here, we use network science to characterize the complex interconnection patterns of these energy-state transitions. Using an experimentally verified computational model of electronic transport through quantum antidots, we construct networks where nodes represent accessible energy states and edges represent allowed transitions. We find that these networks exhibit Rentian scaling, which is characteristic of efficient transportation systems in computer circuitry, neural circuitry, and human mobility, and can be used to measure the interconnection complexity of a network. We find that the topological complexity of the state transition networks-as measured by Rent's exponent-correlates with the amount of current flowing through the antidot system. Furthermore, networks corresponding to points of frustration (due, for example, to spin-blockade effects) exhibit an enhanced topological complexity relative to non-frustrated networks. Our results demonstrate that network characterizations of the abstract topological structure of energy landscapes capture salient properties of quantum transport. More broadly, our approach motivates future efforts to use network science to understand the dynamics and control of complex quantum systems.

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Language(s): eng - English
 Dates: 2019-12-20
 Publication Status: Published online
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Method: Peer
 Identifiers: DOI: 10.1088/1367-2630/ab5c9f
 Degree: -

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Title: New Journal of Physics
Source Genre: Journal
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Pages: 14 Volume / Issue: 21 (12) Sequence Number: 123049 Start / End Page: - Identifier: -