Please use this identifier to cite or link to this item: https://doi.org/10.1103/PhysRevE.82.046216
Title: Phase-space characterization of complexity in quantum many-body dynamics
Authors: Balachandran, V.
Benenti, G.
Casati, G. 
Gong, J. 
Issue Date: 20-Oct-2010
Source: Balachandran, V., Benenti, G., Casati, G., Gong, J. (2010-10-20). Phase-space characterization of complexity in quantum many-body dynamics. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 82 (4) : -. ScholarBank@NUS Repository. https://doi.org/10.1103/PhysRevE.82.046216
Abstract: We propose a phase-space Wigner harmonics entropy measure for many-body quantum dynamical complexity. This measure, which reduces to the well-known measure of complexity in classical systems and which is valid for both pure and mixed states in single-particle and many-body systems, takes into account the combined role of chaos and entanglement in the realm of quantum mechanics. The effectiveness of the measure is illustrated in the example of the Ising chain in a homogeneous tilted magnetic field. We provide numerical evidence that the multipartite entanglement generation leads to a linear increase in entropy until saturation in both integrable and chaotic regimes, so that in both cases the number of harmonics of the Wigner function grows exponentially with time. The entropy growth rate can be used to detect quantum phase transitions. The proposed entropy measure can also distinguish between integrable and chaotic many-body dynamics by means of the size of long-term fluctuations which become smaller when quantum chaos sets in. © 2010 The American Physical Society.
Source Title: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
URI: http://scholarbank.nus.edu.sg/handle/10635/112484
ISSN: 15393755
DOI: 10.1103/PhysRevE.82.046216
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