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Open Quantum Systems Decoherence
Quantum Simulation
Topological adiabatic dynamics in classical mass-spring chains with clamps
arXiv
Authors: Atushi Tanaka
Year
2022
Paper ID
58744
Status
Preprint
Abstract Read
~2 min
Abstract Words
87
Citations
N/A
Abstract
The path dependence of adiabatic evolution in classical harmonic chains with clamps is examined. It is shown that cutting and joining a chain may braid adiabatic normal mode frequencies. Accordingly, different adiabatic paths with the same endpoints may transport a normal mode to a different one, and an adiabatic cycle pumps action variables, i.e., the adiabatic invariants of integrable classical systems. Another adiabatic pump for artificial edge modes induced by clamps is shown as an application. Extensions to completely integrable systems and quantum systems are outlined.
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- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- The path dependence of adiabatic evolution in classical harmonic chains with clamps is examined.
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