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Quantum Algorithms
Complexity and instability of quantum motion near a quantum phase transition
arXiv
Authors: Pinquan Qin, Wen-ge Wang, Giuliano Benenti, Giulio Casati
Year
2013
Paper ID
31865
Status
Preprint
Abstract Read
~2 min
Abstract Words
71
Citations
N/A
Abstract
We show that the number of harmonics of the Wigner function, recently proposed as a measure of quantum complexity, can be also used to characterize quantum phase transitions. The non-analytic behavior of this quantity in the neighborhood of a quantum phase transition is illustrated by means of the Dicke model and is compared to two well-known measures of the (in)stability of quantum motion, the quantum Loschmidt echo and the fidelity.
Why This Paper Matters
- It adds a 2013 reference point for readers tracking recent quantum research.
- We show that the number of harmonics of the Wigner function, recently proposed as a measure of quantum complexity, can be also used to characterize quantum phase transitions.
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