[show abstract][hide abstract] ABSTRACT: We demonstrate that a kind of highly excited state of strongly attractive
Hubbard model, named of Fermi super-Tonks-Girardeau state, can be realized in
the spin-1/2 Fermi optical lattice system by a sudden switch of interaction
from the strongly repulsive regime to the strongly attractive regime. In
contrast to the ground state of the attractive Hubbard model, such a state is
the lowest scattering state with no pairing between attractive fermions. With
the aid of Bethe-ansatz method, we calculate energies of both the Fermi
Tonks-Girardeau gas and the Fermi super-Tonks-Girardeau state of spin-1/2
ultracold fermions and show that both energies approach to the same limit as
the strength of the interaction goes to infinity. By exactly solving the quench
dynamics of the Hubbard model, we demonstrate that the Fermi
super-Tonks-Girardeau state can be transferred from the initial repulsive
ground state very efficiently. This allows the experimental study of properties
of Fermi super-Tonks-Girardeau gas in optical lattices.
The European Physical Journal D 11/2011; 66(10). · 1.51 Impact Factor
[show abstract][hide abstract] ABSTRACT: We study how stable excited many-body states of the Bose-Hubbard model, including both the gas-like state for strongly attractive bosons and bound cluster state for repulsive bosons, can be produced with cold bosonic atoms in an one-dimensional optical lattice. Starting from the initial ground states of strongly interacting bosonic systems, we can achieve stable excited states of the systems with opposite interaction strength by suddenly switching the interaction to the opposite limit. By exactly solving dynamics of the Bose-Hubbard model, we demonstrate that the produced excited state can be a very stable dynamic state. This allows the experimental study of excited state properties of ultracold atoms system in optical lattices. Comment: 5 pages, 4 figures
[show abstract][hide abstract] ABSTRACT: In this article, we study the high order term of the fidelity of the Heisenberg chain with next-nearest-neighbor interaction and analyze its connection with quantum phase transition of Beresinskii-Kosterlitz-Thouless type happened in the system. We calculate the fidelity susceptibility of the system and find that although the phase transition point can't be well characterized by the fidelity susceptibility, it can be effectively picked out by the higher order of the ground-state fidelity for finite-size systems.
[show abstract][hide abstract] ABSTRACT: The notion of fidelity in quantum information science has been recently applied to analyze quantum phase transitions from the viewpoint of the ground state (GS) overlap for various many-body systems. In this work, we unveil the intrinsic relation between the GS fidelity and the derivatives of GS energy and find that they play equivalent role in identifying the quantum phase transition. The general connection between the two approaches enables us to understand the different singularity and scaling behaviors of fidelity exhibited in various systems on general grounds. Our general conclusions are illustrated via several quantum spin models which exhibit different kinds of QPTs.
[show abstract][hide abstract] ABSTRACT: In this paper, we investigate the fidelity for the Heisenberg chain with the next-nearest-neighbor interaction (or the J1-J2 model) and analyze its connections with quantum phase transition. We compute the fidelity between the ground states and find that the phase transition point of the J1-J2 model cannot be well characterized by the ground-state fidelity for finite-size systems. Instead, we introduce and calculate the fidelity between the first excited states. Our results show that the quantum transition can be well characterized by the fidelity of the first excited state even for a small-size system.