Three-body on-site interactions in ultracold bosonic atoms in optical lattices and superlattices

Singh, Manpreet; Dhar, Arya; Mishra, Tapan; Pai, Ramesh V.; Das, B. P.

doi:10.1103/physreva.85.051604

Cited by 38 publications

(38 citation statements)

References 27 publications

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“…[15,17,18]. Indeed, in those calculations, as well as in similar ground-state approaches, the transfer matrix is not the only object carrying lattice-spacing effects: The operators used to compute expectation values also suffer from the same problems.…”

Section: Improved Observablesmentioning

confidence: 96%

Improved lattice operators for nonrelativistic fermions

Drut

2012

Phys. Rev. A

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In this work I apply a recently proposed improvement procedure, originally conceived to reduce finite latticespacing effects in transfer matrices for dilute Fermi systems, to tuning operators for the calculation of observables. I construct, in particular, highly improved representations for the energy and the contact as a first step in an improvement program for finite-temperature calculations. I illustrate the effects of improvement on those quantities with a ground-state lattice calculation at unitarity.

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Section: Improved Observablesmentioning

confidence: 96%

Improved lattice operators for nonrelativistic fermions

Drut

2012

Phys. Rev. A

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“…Significant effects of multi-body interactions such as the three-body interaction have been realized in the experiment [6]. Methods have been proposed to engineer the three-body interactions [7][8][9] which seem to have significant role on the ground state phase diagrams [10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

Quantum phases of constrained dipolar bosons in coupled one-dimensional optical lattices

Singh¹,

Mondal²,

Sahoo³

et al. 2017

Phys. Rev. A

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We investigate a system of two-and three-body constrained dipolar bosons in a pair of onedimensional optical lattices coupled to each other by the non-local dipole-dipole interactions. Assuming attractive dipole-dipole interactions, we obtain the ground state phase diagram of the system by employing the cluster mean-field theory. The competition between the repulsive on-site and attractive nearest-neighbor interactions between the chains yields three kinds of superfluids; namely the trimer superfluid, pair superfluid and the usual single particle superfluid along with the insulating Mott phase at the commensurate density. Besides, we also realize simultaneous existence of Mott insulator and superfluid phases for the two-and three-body constrained bosons, respectively. We also analyze the stability of these quantum phases in the presence of a harmonic trap potential.

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“…Later, Dhar and colleagues [11,12,13] studied the quantum phases that emerge when the AB chain is considered (see Fig. 1(a)).…”

Section: Introductionmentioning

confidence: 99%

Phase diagrams of bosonic ABn chains

2016

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Abstract. The ABN−1 chain is a system that consists of repeating a unit cell with N sites, where between the A and B sites there is an energy difference of λ. We considered bosons in these special lattices and took into account the kinetic energy, the local two-body interaction, and the inhomogenous local energy in the Hamiltonian. We found the charge density wave (CDW) and superfluid and Mott insulator phases, and constructed the phase diagram for N = 2 and 3 at the thermodynamic limit. The system exhibited insulator phases for densities ρ = α/N , with α being an integer. We obtained that superfluid regions separate the insulator phases for densities larger than one. For any N value, we found that for integer densities ρ, the system shows ρ + 1 insulator phases, a Mott insulator phase, and ρ CDW phases. For non-integer densities larger than one, several CDW phases appear.

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Three-body on-site interactions in ultracold bosonic atoms in optical lattices and superlattices

Cited by 38 publications

References 27 publications

Improved lattice operators for nonrelativistic fermions

Improved lattice operators for nonrelativistic fermions

Quantum phases of constrained dipolar bosons in coupled one-dimensional optical lattices

Phase diagrams of bosonic ABn chains

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