Twisted complex superfluids in optical lattices

Jürgensen, Ole; Sengstock, K.; Lühmann, Dirk-Sören

doi:10.1038/srep12912

Cited by 26 publications

(43 citation statements)

References 56 publications

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“…By including all terms, the resulting phase diagrams can differ significantly even for modest parameter strengths. We will confirm the destruction of the Mott-insulating phase and the introduction of known supersolid, density wave and pair superfluid phases [37]. By performing a detailed study of the ground state phase diagrams for various parameter regions, we find new staggered superfluid and supersolid phases, including sign staggered behaviour of the ordinary and pair superfluid and supersolid.…”

Section: Introductionsupporting

confidence: 59%

Staggered ground states in an optical lattice

et al. 2019

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Non-standard Bose-Hubbard models can exhibit rich ground state phase diagrams, even when considering the one-dimensional limit. Using a self-consistent Gutzwiller diagonalisation approach, we study the mean-field ground state properties of a long-range interacting atomic gas in a onedimensional optical lattice. We first confirm that the inclusion of long-range two-body interactions to the standard Bose-Hubbard model introduces density wave and supersolid phases. However, the introduction of pair and density-dependent tunnelling can result in new phases with two-site periodic density, single-particle transport and two-body transport order parameters. These staggered phases are potentially a mean-field signature of the known novel twisted superfluids found via a DMRG approach [PRA 94, 011603(R) (2016)]. We also observe other unconventional phases, which are characterised by sign staggered order parameters between adjacent lattice sites.

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Section: Introductionsupporting

confidence: 59%

Staggered ground states in an optical lattice

et al. 2019

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“…Our calculations are performed by using the CMF theory [34][35][36][37][38][39][40][41][42][43][44][45][46][47]. It has several different names in the literature: cluster Gutzwiller approach [43,47], hierarchical mean-field approach [35,36,45], and composite boson meanfield approach [44]. This method has been shown to be an extremely efficient way of exploring vast uncharted territory in the phase diagram.…”

Section: Cmf Theorymentioning

confidence: 99%

“…In this paper, we focus on the detailed ground-state phase diagrams of the model in equation (1) for both signs of t¢ and elucidate the nature of the phase transitions therein. The cluster mean-field (CMF) theory is employed here, which has been applied to various spin [34][35][36][37][38] and boson [39][40][41][42][43][44][45][46][47] systems with success. We note that the main difference between two SS states, the HSS and the CSS states, comes from the distinct momentum states at which bosons condenses.…”

Section: Introductionmentioning

confidence: 99%

Two supersolid phases in hard-core extended Bose–Hubbard model

Chen

Yang

2017

J. Phys. Commun.

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The effect of the next-nearest-neighbor (nnn) tunneling on the hard-core extended Bose-Hubbard model on square lattices is investigated. By means of the cluster mean-field theory, the ground-state phase diagrams are determined. When a modest nnn tunneling is introduced, depending on its sign, two distinct supersolid (SS) states with checkerboard crystal structures are found away from halffiling. The characters of various phase transitions out of these two SS states are discussed. In particular, for the case with kinetic frustration, the existence of a half SS phase possessing both solid and unconventional superfluid orders is established. Our work hence sheds light on the search of this interesting SS phase in real ultracold lattice gases with frustrated tunnelings.

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“…where V jk is a real, symmetric 2 × 2 matrix. H is a twomode or two-site version of the extended Bose-Hubbard model, which has been considered previously in various physical contexts [10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

Optimal and near-optimal probe states for quantum metrology of number-conserving two-mode bosonic Hamiltonians

Volkoff

2016

Phys. Rev. A

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We derive families of optimal and near-optimal probe states for quantum estimation of the coupling constants of a general two-mode number-conserving bosonic Hamiltonian describing one-body and two-body dynamics. We find that the optimal states for estimating the dephasing of the modes, the self-interaction strength, and the contact interaction strength are related to the NOON states, whereas the optimal states for estimation of the intermode single particle tunneling amplitude are superpositions of antipodal SU(2) coherent states. For estimation of the amplitude of pair tunneling and the amplitude of density-dependent single particle tunneling processes, respectively, we introduce classes of variational superposition probe states that provide near perfect saturation of the corresponding quantum Cramér-Rao bounds. We show that the ground state of the pair tunneling term in the Hamiltonian has a high fidelity with the optimal states for estimation of a single particle tunneling amplitude, suggesting that high-performance probes for tunneling amplitude estimation may be produced by tuning the two-mode system through a quantum phase transition.

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Twisted complex superfluids in optical lattices

Cited by 26 publications

References 56 publications

Staggered ground states in an optical lattice

Staggered ground states in an optical lattice

Two supersolid phases in hard-core extended Bose–Hubbard model

Optimal and near-optimal probe states for quantum metrology of number-conserving two-mode bosonic Hamiltonians

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