A Haldane conjecture is revealed for spin-singlet charge modes in $2N$ -component fermionic cold atoms loaded into a one-dimensional optical lattice. By means of a low-energy approach and density matrix renormalization group calculations, we show the emergence of gapless and gapped phases depending on the parity of $N$ for attractive interactions at half-filling. The analog of the Haldane phase of the spin-1 Heisenberg chain is stabilized for $N=2$ with nonlocal string charge correlation and pseudo-spin-1/2 edge states. At the heart of this even-odd behavior is the existence of a spin-singlet pseudo-spin- $N/2$ operator which governs the low-energy properties of the model for attractive interactions and gives rise to the Haldane physics.A Haldane conjecture is revealed for spin-singlet charge modes in $2N$-component fermionic cold atoms loaded into a one-dimensional optical lattice. By means of a low-energy approach and density matrix renormalization group calculations, we show the emergence of gapless and gapped phases depending on the parity of $N$ for attractive interactions at half-filling. The analog of the Haldane phase of the spin-1 Heisenberg chain is stabilized for $N=2$ with nonlocal string charge correlation and pseudo-spin-1/2 edge states. At the heart of this even-odd behavior is the existence of a spin-singlet pseudo-spin-$N/2$ operator which governs the low-energy properties of the model for attractive interactions and gives rise to the Haldane physics.

arXiv:0906.3528Physical Review BJan 22, 201042 citations

Expansion dynamics of Fermi atoms in optical lattice

Jing Zhou, Cheng Shi

Physics Letters AJul 8, 20150 citations

Flow-Induced Charge Modulation in Superfluid Atomic Fermions Loaded into an Optical Kagome Lattice

Daisuke Yamamoto, Chika Sato, Tetsuro Nikuni +1 more

We study the superfluid state of atomic fermions in a tunable optical kagome lattice motivated by recent experiments. We show that the imposed superflow induces spatial modulations in the density and order parameter of the pair condensate and leads to a charge modulated superfluid state analogous to a supersolid state. The spatial modulations in the superfluid emerge due to the geometric effect of the kagome lattice that introduces anisotropy in hopping amplitudes of fermion pairs in the presence of superflow. We also study superflow instabilities and find that the critical current limited by the dynamical instability is quite enhanced due to the large density of states associated with the flatband. The charge modulated superfluid state can sustain high temperatures close to the transition temperature that is also enhanced due to the flatband and is therefore realizable in experiments.We study the superfluid state of atomic fermions in a tunable optical kagome lattice motivated by recent experiments. We show that the imposed superflow induces spatial modulations in the density and order parameter of the pair condensate and leads to a charge modulated superfluid state analogous to a supersolid state. The spatial modulations in the superfluid emerge due to the geometric effect of the kagome lattice that introduces anisotropy in hopping amplitudes of fermion pairs in the presence of superflow. We also study superflow instabilities and find that the critical current limited by the dynamical instability is quite enhanced due to the large density of states associated with the flatband. The charge modulated superfluid state can sustain high temperatures close to the transition temperature that is also enhanced due to the flatband and is therefore realizable in experiments.

arXiv:1212.2299Physical Review LettersApr 4, 20137 citations

Optical lattice clocks with non-interacting bosons and fermions

Hidetoshi Katori, Masao Takamoto, Tomoya Akatsuka +1 more

We discuss configurations of optical lattice clocks from the viewpoint of lattice geometries and quantum statistics of interrogated atoms. This leads to two promising schemes; one-dimensional lattice loaded with spin-polarized fermions and three-dimensional lattice loaded with bosons. These two optical lattice clocks based on fermionic87Sr and bosonic88Sr were demonstrated by measuring the frequency stability as well as their isotope shift. In addition, we address our ongoing experimental challenges for optical lattice clocks.We discuss configurations of optical lattice clocks from the viewpoint of lattice geometries and quantum statistics of interrogated atoms. This leads to two promising schemes; one-dimensional lattice loaded with spin-polarized fermions and three-dimensional lattice loaded with bosons. These two optical lattice clocks based on fermionic87Sr and bosonic88Sr were demonstrated by measuring the frequency stability as well as their isotope shift. In addition, we address our ongoing experimental challenges for optical lattice clocks.

Joint Conference of the European Frequency and Time Forum and IEEE International Frequency Control Symposium (EFTF/IFCS)May 1, 20082 citations

Dynamics of multi-component fermions in optical lattices

C. R. Becker, J. Krauser, Jannes Heinze +3 more

Bulletin of the American Physical SocietyJun 5, 20120 citations

A Haldane conjecture is revealed for spin-singlet charge modes in

2N

-component fermionic cold atoms loaded into a one-dimensional optical lattice. By means of a low-energy approach and density matrix renormalization group calculations, we show the emergence of gapless and gapped phases depending on the parity of

N

for attractive interactions at half-filling. The analog of the Haldane phase of the spin-1 Heisenberg chain is stabilized for

N=2

with nonlocal string charge correlation and pseudo-spin-1/2 edge states. At the heart of this even-odd behavior is the existence of a spin-singlet pseudo-spin-

N/2

operator which governs the low-energy properties of the model for attractive interactions and gives rise to the Haldane physics.