Navigating the phase diagram of quantum many-body systems in phase space

• URL: http://arxiv.org/abs/2405.02680v1
• Date: Sat, 4 May 2024 14:46:53 GMT
• Title: Navigating the phase diagram of quantum many-body systems in phase space
• Authors: Khadija El Hawary, Mohamed Azzouz, Morad El Baz, Sebastian Deffner, Bartłomiej Gardas, Zakaria Mzaouali,
• Abstract summary: Wigner function is used to explore the phase diagram of the spin$-(frac12!!frac12)$ and spin$-(frac12!-!1)$ Ising-Heisenberg chains.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We demonstrate the unique capabilities of the Wigner function, particularly in its positive and negative parts, for exploring the phase diagram of the spin$-(\frac{1}{2\!}-\!\frac{1}{2})$ and spin$-(\frac{1}{2}\!-\!1)$ Ising-Heisenberg chains. We highlight the advantages and limitations of the phase space approach in comparison with the entanglement concurrence in detecting phase boundaries. We establish that the equal angle slice approximation in the phase space is an effective method for capturing the essential features of the phase diagram, but falls short in accurately assessing the negativity of the Wigner function for the homogeneous spin$-(\frac{1}{2}\!-\!\frac{1}{2})$ Ising-Heisenberg chain. In contrast, we find for the inhomogeneous spin$-(\frac{1}{2}\!-\!1)$ chain that an integral over the entire phase space is necessary to accurately capture the phase diagram of the system. This distinction underscores the sensitivity of phase space methods to the homogeneity of the quantum system under consideration.

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