aqora

Luttinger's theorem and Phase Transitions in Bose-Fermi mixtures

Stephen Powell, Subir Sachdev A, Hans Peter Büchler

Bulletin of the American Physical SocietyMar 15, 20060 citations

Quantum phase transitions in Bose–Fermi systems

D. Petrellis, A. Leviatan, F. Iachello

arXiv:1105.1527Annals of PhysicsDec 24, 201051 citations

Quantum criticality of a one-dimensional Bose-Fermi mixture

Xiangguo Yin, Xi‐Wen Guan, Yunbo Zhang +1 more

The one-dimensional interacting Bose-Fermi mixtures, exhibiting quantum phase transitions at zero temperature, are particularly valuable for the study of quantum critical phenomena. In the present paper, we analytically study the quantum phase diagram, equation of state, and quantum criticality of the Bose-Fermi mixture using the thermodynamic Bethe ansatz equations. We show that thermodynamical properties display universal scaling behavior at quantum criticality. Furthermore, quantum criticality of the Bose-Fermi mixture in a harmonic trap is also studied within the local-density approximation. We thus demonstrate that the phase diagram and critical properties of the bulk system provide insight into understanding the universal features of many-body critical phenomena.The one-dimensional interacting Bose-Fermi mixtures, exhibiting quantum phase transitions at zero temperature, are particularly valuable for the study of quantum critical phenomena. In the present paper, we analytically study the quantum phase diagram, equation of state, and quantum criticality of the Bose-Fermi mixture using the thermodynamic Bethe ansatz equations. We show that thermodynamical properties display universal scaling behavior at quantum criticality. Furthermore, quantum criticality of the Bose-Fermi mixture in a harmonic trap is also studied within the local-density approximation. We thus demonstrate that the phase diagram and critical properties of the bulk system provide insight into understanding the universal features of many-body critical phenomena.

arXiv:1111.3554Physical Review AJan 4, 201215 citations

Quantum Phase Transitions in Interacting Bose Systems

Gergely T. Zimányi

Springer eBooksJan 1, 19950 citations

Concurrence and fidelity of a Bose–Fermi mixture in a one-dimensional optical lattice

Wen-Qiang Ning, Shi-Jian Gu, Yuguang Chen +2 more

We study the ground-state fidelity and entanglement of a Bose-Fermi mixture loaded in a one-dimensional optical lattice. It is found 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, as a measure of the entanglement, can be used to signal the transition between the density-wave phase and the Ising phase.

arXiv:0708.3178Journal of Physics Condensed MatterMay 9, 200823 citations

Quantum phase transition in Bose-Fermi mixtures

D. Ludwig, Stefan Floerchinger, Sergej Moroz +1 more

We study a quantum Bose-Fermi mixture near a broad Feshbach resonance at zero temperature. Within a quantum field theoretical model, a two-step Gaussian approximation allows us to capture the main features of the quantum phase diagram. We show that a repulsive boson-boson interaction is necessary for thermodynamic stability. The quantum phase diagram is mapped in chemical-potential and density space, and both first- and second-order quantum phase transitions are found. We discuss typical characteristics of the first-order transition, such as hysteresis or a droplet formation of the condensate, which may be searched for experimentally.We study a quantum Bose-Fermi mixture near a broad Feshbach resonance at zero temperature. Within a quantum field theoretical model, a two-step Gaussian approximation allows us to capture the main features of the quantum phase diagram. We show that a repulsive boson-boson interaction is necessary for thermodynamic stability. The quantum phase diagram is mapped in chemical-potential and density space, and both first- and second-order quantum phase transitions are found. We discuss typical characteristics of the first-order transition, such as hysteresis or a droplet formation of the condensate, which may be searched for experimentally.

arXiv:1107.1196Physical Review ASep 23, 201147 citations

Quantum Phase Transitions in a Bose-Fermi Mixture

Related papers

Quantum Phase Transitions in a Bose-Fermi Mixture

Related papers