Phase diagram of a Bose-Fermi mixture in a one-dimensional optical lattice in terms of fidelity and entanglement

Abstract

We study the ground-state phase diagram of a Bose-Fermi mixture loaded in a one-dimensional optical lattice by computing the ground-state fidelity and quantum entanglement. We find that the fidelity is able to signal quantum phase transitions between the Luttinger liquid phase, the density-wave phase, and the phase separation state of the system; and the concurrence can be used to signal the transition between the density-wave phase and the Ising phase.

4 pages 3 figures

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• Quantum criticality of the Lipkin-Meshkov-Glick Model in terms of fidelity susceptibility
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• Generalized Dynamical Mean-Field Theory for Bose-Fermi Mixtures in Optical Lattices
• Statistical Model of the Early Stage of nucleus-nucleus collisions with exact strangeness conservation
• Many-body reduced fidelity susceptibility in Lipkin-Meshkov-Glick model
• Phases and collective modes of hardcore Bose-Fermi mixture in an optical lattice
• Critical exponents for an impurity in a bosonic Josephson junction: Position measurement as a phase transition
• Classification of trivial spin-1 tensor network states on a square lattice
• Renormalization group approach to spinor Bose-Fermi mixtures in a shallow optical lattice
• Many-body effects in a Bose-Fermi mixture
• False signals of chaos from quantum probes
• Rare semileptonic decay of ${\chi }_{c1}(1p)$ meson In QCD