Phase diagram of bosons in a tripartite lattice—emergence of exotic density ordered phases

Barman, Apurba; Basu, Saurabh

doi:10.1088/0953-4075/46/12/125303

Cited by 5 publications

(7 citation statements)

References 24 publications

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“…Subsequently a MFT is employed to compute the ground state eigensolutions for a given lattice site selfconsistently in terms of the order parameters to identify different phases and the procedure is repeated for all sites in the lattice. It may be noted that in the absence of harmonic potential, it would have sufficed to solve for two sites for a bipartite square or a honeycomb lattice and three sites for a tripartite kagome lattice [23,24]. The inhomogeneity caused by the trap, compels the necessity to identify the lattice sites distinctly, thereby explicitly involving the effect of lattice symmetries in the study of the phase diagram.…”

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confidence: 99%

Phase diagram of trapped bosons in a kagome lattice—application of inhomogeneous mean field theory

Barman¹,

Basu²

2014

J. Phys. B: At. Mol. Opt. Phys.

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Motivated by the possibility of obtaining a trimerized optical lattice, such as a kagome lattice experimentally by employing counter propagating laser beams, we investigate the phase diagram of correlated bosons in a kagome lattice in the presence of a harmonic confinement.To study the phase diagram, we compute the order parameters of an extended Bose-Hubbard model which is solved via the standard mean field technique in the presence of a trapping potential. It is emphasized that such trapping effects (together with the density exchange term) lead to the necessity of considering the detailed geometry of the lattice, and thus the measured quantities appeal to a particular geometry, kagome lattice being the case here. The phase diagram thus obtained yields co-existence of different compressible and incompressible phases. There are distinct signatures of superfluid, insulating, density ordered and supersolid phases as one moves towards the edge of the lattice starting from the centre of the confining potential. A comparison of the results obtained for the order parameters corresponding to other geometries, such as square and honeycomb lattices are presented. Relevant to the time-of-flight experiments, the order parameters have been computed in the momentum space, which corroborate the existence of different phases for a kagome lattice.

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confidence: 99%

Phase diagram of trapped bosons in a kagome lattice—application of inhomogeneous mean field theory

Barman¹,

Basu²

2014

J. Phys. B: At. Mol. Opt. Phys.

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“…It may also be noted that the confining potential renormalizes only the onsite chemical potential and does not affect the validity of the mean field calculations presented here. The corresponding results in the absence of harmonic confinement (V T = 0) have been presented elsewhere [11].…”

Section: Resultsmentioning

confidence: 96%

“…In presence of trapping potential, it was extended for the inhomogeneous case for a bipartite lattice [10]. In a previous work, we have considered a tripartite lattice and solved extended Bose Hubbard model (EBHM) via mean field theory in the homogeneous case and obtained a rich phase diagram, in which the ground state of the model exhibits SF, different density ordered (DW), supersolid (SS) and MI phases as function of the chemical potential [11].…”

Section: Introductionmentioning

confidence: 99%

Phase Diagram of Correlated Bosons in a Tripartite Lattice with Harmonic Confinement

Barman¹,

Basu²

2014

Proceedings of the International Conference on Strongly Correlated Electron Systems (SCES2013)

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Motivated by the possibility of obtaining a trimerized optical lattice, such as a kagome lattice, experimentally by employing counter propagating laser beams, we investigate the phase diagram of correlated bosons in a tripartite lattice in presence of harmonic confinement. The extended Bose Hubbard model is solved via the standard mean field technique in presence of a trapping potential. The phase diagram thus obtained yields phase transitions between compressible and incompressible phases. There are distinct signatures of superfluid, insulating, density ordered and supersolid phases as one moves away from the trap center. Exciting possibility of realizing both first and second order phase transitions, as one navigates through the phase diagram, is discussed.

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“…We feel such an extended interaction is relevant in the present context. Although the issues are reasonably well studied in the context of scalar particles [40][41][42][43][44], however it has not been explored for systems with internal degrees of freedom. The CDW phase which breaks the crystal translational symmetry and thus have different density modulation corresponding to different sublattices, forms a new crystalline phase which is also an incompressible phase like the MI phase defined by an integer occupancy at each lattice site.…”

Section: Introductionmentioning

confidence: 99%

Spin‐1 Bose Hubbard Model with Nearest Neighbour Extended Interaction

Nabi

Basu

2017

Annalen der Physik

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A spinor (F = 1) Bose gas is studied in presence of a density-density interaction through a mean field approach and a perturbation theory for either sign of the spin dependent interaction, namely the antiferromagnetic (AF) and the ferromagnetic cases. In the AF case, the charge density wave (CDW) phase appears to be sandwiched between the Mott insulating (MI) and the supersolid phases for small values of the extended interaction strength. But the CDW phase completely occupies the MI lobe when the extended interaction strength is larger than a certain critical value related to the width of the MI lobes and hence opens up the possibilities of spin singlet and nematic CDW insulating phases. In the ferromagnetic case, the phase diagram shows similar features as that of the AF case and are in complete agreement with a spin-0 Bose gas. The perturbation expansion calculations nicely corroborate the mean field phase results in both these cases. Further, we extend our calculations in presence of a harmonic confinement and obtained the momentum distribution profile that is related to the absorption spectra in order to distinguish between different phases.

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Phase diagram of bosons in a tripartite lattice—emergence of exotic density ordered phases

Cited by 5 publications

References 24 publications

Phase diagram of trapped bosons in a kagome lattice—application of inhomogeneous mean field theory

Phase diagram of trapped bosons in a kagome lattice—application of inhomogeneous mean field theory

Phase Diagram of Correlated Bosons in a Tripartite Lattice with Harmonic Confinement

Spin‐1 Bose Hubbard Model with Nearest Neighbour Extended Interaction

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