<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>X</mml:mi><mml:mi>Y</mml:mi><mml:mi>Z</mml:mi></mml:math>Quantum Heisenberg Models with<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>p</mml:mi></mml:math>-Orbital Bosons

We report the observation of quantum dynamical oscillations of ultracold atomic gases in the F and D bands of a single-well optical lattice. We are able to control the Bragg reflections at the Brillouin zone edge up to the third order. As a result, we can switch the quantum dynamics from oscillations across both the F and D bands to oscillations only within the F-band. Our capability to observe these remarkable oscillations comes from the innovative non-adiabatic technique which allows us to load ultracold atoms efficiently to the G-band of an optical lattice.

show abstract

“…Our method allows us to explore rich physics in high Bloch bands predicted theoretically [25][26][27][28][29][30][31].…”

Section: Experiments Methods To Prepare the Atoms In The High Bandsmentioning

confidence: 99%

Observation of quantum dynamical oscillations of ultracold atoms in theFandDbands of an optical lattice

et al. 2016

View full text Add to dashboard Cite

show abstract

“…Ultracold atomic gases or Bose-Einstein condensates (BECs) in the optical lattice (OL) provide a unique opportunity for quantum simulation of many-body systems and realization of quantum computation and highprecision atomic clock [1][2][3][4][5][6][7][8][9]. By now, most of these studies focus on the Bloch state with a certain single quasimomentum, where the atomic momentum distribution is characterized by interference peaks with interval 2 k L which is the double recoil momentum of the atoms in an OL, with k L the wave vector of the laser forming the OL.…”

Section: Introductionmentioning

confidence: 99%

Atomic momentum patterns with narrower intervals

et al. 2016

View full text Add to dashboard Cite

We studied the atomic momentum distribution for a superposition of Bloch states spreading in the lowest band of an optical lattice after the action of the standing wave pulse. By designing the imposing pulse on this superposed state, an atomic momentum pattern appears with narrower interval between the adjacent peaks that can be far less than the double recoil momentum. The patterns with narrower interval come from the superposition of the action of the designed pulse on many Bloch states with quasi-momenta over the first Brillouin zone, where for each quasi-momentum there is an interference among several lowest bands. Our experimental result of narrow interval peaks is consistent with the theoretical simulation. The patterns of multi modes with different quasi-momenta are helpful for precise measurement and atomic manipulation.

show abstract

“…For spin 1=2 systems, simulation of the Ising model has been realized using bosons in a tilted optical lattice [3]. It has also been proposed that the spin 1=2 XYZ Heisenberg model can be realized using p-orbital bosons [4]. This rapid progress in cold atomic physics results in a considerable renewal of interest to study models with higher spins or higher symmetries, especially for models that are potentially realizable by cold atomic systems.…”

mentioning

confidence: 99%

Quantum Critical Spin-2 Chain with Emergent SU(3) Symmetry

et al. 2015

View full text Add to dashboard Cite

We study the quantum critical phase of an SU(2) symmetric spin-2 chain obtained from spin-2 bosons in a one-dimensional lattice. We obtain the scaling of the finite-size energies and entanglement entropy by exact diagonalization and density-matrix renormalization group methods. From the numerical results of the energy spectra, central charge, and scaling dimension we identify the conformal field theory describing the whole critical phase to be the SUð3Þ 1 Wess-Zumino-Witten model. We find that, while the Hamiltonian is only SU(2) invariant, in this critical phase there is an emergent SU(3) symmetry in the thermodynamic limit. DOI: 10.1103/PhysRevLett.114.145301 PACS numbers: 67.85.-d, 03.65.Ud, 11.25.Hf, 65.40.gd Cold atomic gases in optical lattices have become an ideal framework for studying quantum many-body systems in recent years [1]. In particular, various schemes have been proposed to study quantum magnetism [2]. For spin 1=2 systems, simulation of the Ising model has been realized using bosons in a tilted optical lattice [3]. It has also been proposed that the spin 1=2 XYZ Heisenberg model can be realized using p-orbital bosons [4]. This rapid progress in cold atomic physics results in a considerable renewal of interest to study models with higher spins or higher symmetries, especially for models that are potentially realizable by cold atomic systems. A natural direction is to study spinor bosons and their novel phases. For example, it has been proposed that the spin-1 bilinear biquadractic (BB) model can be engineered using spin-1 cold bosons in an optical lattice [5,6]. Furthermore, the phase diagram of spin-1 bosons in a one-dimensional (1D) lattice has been studied numerically and compared to the spin-1 BB model [7]. Since spin-2 bosons are available and have been experimentally studied [8][9][10][11], it is of great interest to explore the phases realizable by spin-2 bosons. On the other hand, it has also been pointed out that fermions with hyperfine spin F ¼ 3=2 can be used to realize models with SO(5) symmetry [12], or to realize an SU(3) spin chain by effectively suppressing the occupation of one of the middle states [13]. Possibilities to realize higher SU(N) symmetry have also been proposed [14,15]. Along this line, spin dynamics and correlation have been studied experimentally using cold fermions with effective spin ranging from 1=2 to 9=2 [16,17]. Another interesting problem is to explore symmetries that emerge in the low energy limit of the models. Indeed, different aspects of emergent symmetries have been discussed widely in the recent literature. Examples include SO(5) and SO (8) symmetries in high temperature superconductors and two-leg ladders [18,19] Recently we studied the phase diagram of spin-2 bosons in a 1D optical lattice with one particle per site and identified three possible phases for a finite system: ferromagnetic, dimerized, and trimerized phases [25]. Within the trimerized phase, if the system size is a multiple of 3, the ground state is a spin singlet with a finite-siz...

show abstract

XYZQuantum Heisenberg Models withp-Orbital Bosons

Cited by 67 publications

References 51 publications

Observation of quantum dynamical oscillations of ultracold atoms in theFandDbands of an optical lattice

Observation of quantum dynamical oscillations of ultracold atoms in theFandDbands of an optical lattice

Atomic momentum patterns with narrower intervals

Quantum Critical Spin-2 Chain with Emergent SU(3) Symmetry

Contact Info

Product

Resources

About