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In this Letter we study various spin correlated insulating states of F=2 cold atoms in optical lattices. We find that the effective spin exchange interaction due to virtual hopping contains an {\em octopole} coupling between two neighboring…

Other Condensed Matter · Physics 2009-11-11 Fei Zhou , Gordon W. Semenoff

We investigated the ground state of spin-1 bosons interacting under local two- and three-body interactions in one dimension by means of the density matrix renormalization group method. We found that the even-odd asymmetry will be obtained…

Quantum Gases · Physics 2019-03-20 A. F. Hincapie-F , R. Franco , J. Silva-Valencia

We study properties of a class of spin singlet Mott states for arbitrary spin S bosons on a lattice, with particle number per cite n=S/l+1, where l is a positive integer. We show that such a singlet Mott state can be mapped to a bosonic…

Quantum Gases · Physics 2014-02-04 Biao Lian , Shou-Cheng Zhang

Based on the generalized valence bond picture, a Schwinger boson mean field theory is applied to the symmetric SU(4) spin-orbital systems. For a two-leg SU(4) ladder, the ground state is a spin-orbital liquid with a finite energy gap, in…

Strongly Correlated Electrons · Physics 2009-11-07 Shun-Qing Shen

Bosons interacting repulsively on a lattice with a flat lowest band energy dispersion may, at sufficiently small filling factors, enter into a Wigner-crystal-like phase. This phase is a consequence of the dispersionless nature of the…

Strongly Correlated Electrons · Physics 2015-03-05 Lawrence G. Phillips , Gabriele De Chiara , Patrik Öhberg , Manuel Valiente

A family of the pair hopping models exhibiting the incompressible quantum liquid at fractional filling $1/m^D$ is constructed in $D$ dimensional lattice. Except in one dimension, the lattice is the generalized edge-shared triangular…

Strongly Correlated Electrons · Physics 2015-05-14 Chyh-Hong Chern

Correlated electrons often crystalize to the Mott insulator usually with some magnetic orders, whereas the "quantum spin liquid" has been a long-sought issue. We report numerical evidences that a nonmagnetic insulating (NMI) phase gets…

Strongly Correlated Electrons · Physics 2007-05-23 Masatoshi Imada , Takahiro Mizusaki , Shinji Watanabe

We determine the local density of states (LDOS) for spin-gapped one-dimensional charge density wave (CDW) states and Mott insulators in the presence of a hard-wall boundary. We calculate the boundary contribution to the single-particle…

Strongly Correlated Electrons · Physics 2012-07-09 Dirk Schuricht , Fabian H. L. Essler , Akbar Jaefari , Eduardo Fradkin

Ground state instabilities of the spin-boson model is studied in this work. The existence of sequential ground state instabilities is shown analytically for arbitrary detuning in the two-spin system. In this model, extra discontinuities of…

Quantum Physics · Physics 2007-05-23 Ru-Fen Liu , Chia-Chu Chen

We compute the magnetic structure factor, the singlet correlation function and the momentum distribution of the one-dimensional Kondo lattice model at the density $\rho =0.7$. The density matrix-renormalization group method is used. We show…

Condensed Matter · Physics 2009-10-28 Samuel Moukouri , Laurent G. Caron

We propose and analyse a Raman spectroscopy technique for probing the properties of quantum degenerate bosons in the ground band of an optical lattice. Our formalism describes excitations to higher vibrational bands and is valid for deep…

Other Condensed Matter · Physics 2009-11-11 P. Blair Blakie

The Hubbard model in the $U\to\infty$ limit has been known to have resonating valence bond (RVB) ground states on certain corner-sharing simplex lattices. Examples include both the quasi-1D sawtooth lattice with open boundary and a larger…

Strongly Correlated Electrons · Physics 2026-04-29 Zhao Zhang , Cecilie Glittum

We study the physics of a rapidly-rotating gas of ultracold atomic bosons, with an internal degree of freedom. We show that in the limit of rapid rotation of the trap the problem exactly maps onto that of non-interacting fermions with spin…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 B. Paredes , P. Zoller , J. I. Cirac

We investigate the ground-state properties of spin-orbit coupled Bose-Einstein condensates in spin-dependent optical lattices. The competition between the spin-orbit coupling strength and the depth of the optical lattice leads to a rich…

Quantum Gases · Physics 2013-01-11 Wei Han , Suying Zhang , Wu-Ming Liu

In order to understand the properties of Mott insulators with strong ground state orbital fluctuations, we study the zero temperature properties of the SU(4) spin-orbital model on a square lattice. Exact diagonalizations of finite clusters…

Strongly Correlated Electrons · Physics 2009-10-31 Mathias van den Bossche , Fu-Chun Zhang , Frederic Mila

The ground state properties and low-lying excitations of a (quasi) one-dimensional system of longitudinally confined interacting bosons are studied. This is achieved by extending Haldane's harmonic-fluid description to open boundary…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M. A. Cazalilla

We study a one-dimensional model of interacting bosons on a lattice with two flat bands. Regular condensation is suppressed due to the absence of a well defined minimum in the single particle spectrum. We find that interactions stabilize a…

Quantum Gases · Physics 2014-01-08 Murad Tovmasyan , Evert van Nieuwenburg , Sebastian Huber

The nature of the randomness-induced quantum spin liquid state, the random-singlet state, is investigated in two dimensions (2D) by means of the exact-diagonalization and the Hams-de Raedt methods for several frustrated lattices, e.g., the…

Strongly Correlated Electrons · Physics 2020-01-08 Hikaru Kawamura , Kazuki Uematsu

In this work, we study two-body bound states in two-component Bose gas with a one-dimensional (1D) spin-orbit coupling (SOC) induced by Raman lasers. The finite Raman coupling strength generates coupling among three spin channels, resulting…

Quantum Gases · Physics 2020-02-26 Qi Gu , Yuncheng Xiong , Lan Yin

We analyse the low temperature properties of a system of classical Heisenberg spins on a hexagonal lattice with Kitaev couplings. For a lattice of 2N sites with periodic boundary conditions, we show that the ground states form an (N+1)…

Statistical Mechanics · Physics 2010-09-14 Samarth Chandra , Kabir Ramola , Deepak Dhar