Physics – Quantum Physics
Scientific paper
2010-09-02
Phys. Rev. E 82, 046216 (2010)
Physics
Quantum Physics
10 pages, 9 figures
Scientific paper
10.1103/PhysRevE.82.046216
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 of 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.
Balachandran Vinitha
Benenti Giuliano
Casati Giulio
Gong Jiangbin
No associations
LandOfFree
Phase-space characterization of complexity in quantum many-body dynamics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Phase-space characterization of complexity in quantum many-body dynamics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Phase-space characterization of complexity in quantum many-body dynamics will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-684039