Exotic Quantum Order in Low-Dimensional Systems
Steven M. Girvin
TL;DR
This paper explores exotic quantum orders in low-dimensional strongly correlated systems, revealing hidden orderings through dual correlations that lead to new collective excitations and fractional quantum numbers, with examples from spin chains and quantum Hall systems.
Contribution
It introduces the concept of hidden quantum order revealed by dual correlations, providing new insights into collective modes and fractional quantum numbers in low-dimensional systems.
Findings
Identification of hidden quantum order in low-dimensional systems
Discovery of new collective modes associated with exotic order
Observation of fractional quantum numbers in specific quantum systems
Abstract
Strongly correlated quantum systems in low dimensions often exhibit novel quantum ordering. This ordering is sometimes hidden and can be revealed only by examining new `dual' types of correlations. Such ordering leads to novel collective modes and fractional quantum numbers. Examples will be presented from quantum spin chains and the quantum Hall effect.
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