Quantum phase transition in an atom-molecule conversion system with atomic hopping

Abstract

The quantum phase transition in an atom-molecule conversion system with atomic hopping between different hyperfine states is studied. In mean field approximation, we give the phase diagram whose phase boundary only depends on the atomic hopping strength and the atom-molecule energy detuning but not on the atomic interaction. Such a phase boundary is further confirmed by the fidelity of the ground state and the energy gap between the first-excited state and the ground one. In comparison to mean field approximation, we also study the quantum phase transition in full quantum method, where the phase boundary can be affected by the particle number of the system. Whereas, with the help of finite-size scaling behaviors of energy gap, fidelity susceptibility and the first-order derivative of entanglement entropy, we show that one can obtain the same phase boundary by the MFA and full quantum methods in the limit of $N\to \infty$. Additionally, our results show that the quantum phase transition can happens at the critical value of the atomic hopping strength even if the atom-molecule energy detuning is fixed on a certain value, which provides one a new way to control the quantum phase transition.

7 pages,6 figures

References in corpus (17)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Fidelity, dynamic structure factor, and susceptibility in critical phenomena
• Three-body recombination at large scattering lengths in an ultracold atomic gas
• Adiabatic Theory of Nonlinear Evolution of Quantum States
• Fidelity susceptibility, scaling, and universality in quantum critical phenomena
• Quantum Phase Transition in an Antiferromagnetic Spinor Bose-Einstein Condensate
• Comparing and contrasting nuclei and cold atomic gases
• Quantum criticality of the Lipkin-Meshkov-Glick Model in terms of fidelity susceptibility
• Quantum phase transitions in fully connected spin models: an entanglement perspective
• Fidelity, fidelity susceptibility and von Neumann entropy to characterize the phase diagram of an extended Harper model
• Quantum phase transitions in an interacting atom-molecule boson model
• Conversion of ${}^{40}$K-${}^{87}$Rb mixtures into stable molecules
• Properties of a coupled two species atom-heteronuclear molecule condensate
• Quantum phase transitions in Bose-Einstein condensates from a Bethe ansatz perspective
• Finite-size effects in Anderson localization of one-dimensional Bose-Einstein condensates
• Quantum phase transition of two-mode Bose-Einstein condensates with an entanglement order parameter
• Classical and quantum analysis of a heterotriatomic molecular Bose-Einstein-condensate model

Cited by in corpus (1)

• Entropies and IPR as Markers for a Phase Transition in a Two-Level Model for Atom-Diatomic Molecule Coexistence