Phase diagram of a bosonic ladder with two coupled chains

Luthra, Meetu Sethi; Mishra, Tapan; Pai, Ramesh V.; Das, B. P.

doi:10.1103/physrevb.78.165104

Cited by 16 publications

(12 citation statements)

References 39 publications

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“…Quasi-1D systems such as ladders have been of special interest to understand the phenomenon of high-temperature superconductivity, spin-gapped metallic state [22][23][24] etc. The extra coupling between the legs of the ladder makes these systems unique, as a result of which, the quantum phase transitions are influenced substantially even in a simple model like the Bose-Hubbard ladder [25][26][27]. Also, the effect of kinetic frustration along with various interactions can lead to interesting new phases in ladder systems [28][29][30][31][32][33][34][35][36], which are not possible in one dimensional lattice systems.…”

Section: Introductionmentioning

confidence: 99%

Quantum phases of attractive bosons on a Bose-Hubbard ladder with three-body constraint

et al. 2014

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We obtain the complete quantum phase diagram of bosons on a two-leg ladder in the presence of attractive onsite and repulsive interchain nearest neighbor interactions by imposing the onsite three body constraint. We find three distinct phases, namely, the atomic superfluid(ASF), dimer superfluid (DSF) and the dimer rung insulator (DRI). In the absence of the interchain nearest neighbor repulsion, the system exhibits a transition from the ASF to the DSF phase with increasing onsite attraction. However, the presence of the interchain nearest neighbor repulsion stabilizes a gapped DRI phase, which is flanked by the DSF phase. We also obtain the phase diagram of the system for different values of the interchain nearest neighbor interaction. By evaluating different order parameters, we obtain the complete phase diagram and the properties of the phase transitions using the self consistent cluster mean field theory.

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Section: Introductionmentioning

confidence: 99%

Quantum phases of attractive bosons on a Bose-Hubbard ladder with three-body constraint

et al. 2014

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“…Interacting bosonic quantum gases in a chain is a Luttinger liquid [14][15][16] which has a central peak at zero momentum in the momentum distribution as a hallmark of superfluidity. Superimposing a lattice with twice the period by controlling the polarization of the laser beams [17,18], one can create a two-leg ladder [19][20][21].…”

Section: Introductionmentioning

confidence: 99%

Two peaks in the momentum distribution of bosons in a weakly frustrated two-leg optical ladder

Cha

Shin

2011

Phys. Rev. A

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The ground-state properties of neutral hard-core bosons trapped in an optical two-leg ladder in the presence of an artificial magnetic field are studied. For a weak field, two separated peaks appear in the momentum distribution as a signature of the Meissner state in which bosons, carrying persistent currents on each leg, condense into finite-momentum states, while for a strong field, a central peak and tiny bumps associated with the vortex lattice structure indicate that the ground state is the vortex state.

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“…The one dimensional ladder geometries are extremely important in the context of condensed matter systems as it resembles to several structures of compounds of interest. The ladder geometries has been discussed in great detail in terms of Hubbard model [65][66][67][68][69][70][71][72][73][74][75][76][77] and Bose-Hubbard model [21,[78][79][80][81][82]. Analogous to the 2d case we assume only inter-leg dipoledipole interactions by aligning the dipoles at magic angle with each other along the leg direction.…”

Section: Phase Diagram In One Dimensionmentioning

confidence: 99%

Mott insulator phases of non-locally coupled bosons in bilayer optical superlattices

Lahiri,

Mondal,

Singh

et al. 2020

Preprint

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We investigate the ground state properties of a non-locally coupled bosonic system in a bilayer optical superlattice by considering bosons in one layer to be of softcore in nature and separately allowing two and three body hardcore constraints on the other layer. We find that the presence of different constraints on bosons in one layer influences the overall phase diagram exhibiting various Mott insulator phases at incommensurate densities due to the presence of the superlattice potential apart from the usual Mott insulators at commensurate densities. Moreover, the presence of two or three-body constraints significantly modifies the Mott insulator-Superfluid phase transition points as a function of the superlattice potential. Due to the various competing interactions, constraints and superlattice potential the phase diagrams exhibit significantly different features. We obtain the complete phase diagrams by using the cluster-mean-field theory approach. We further extend this work to a coupled two-leg ladder superlattice where we obtain similar physics using the density matrix renormalization group method .

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Phase diagram of a bosonic ladder with two coupled chains

Cited by 16 publications

References 39 publications

Quantum phases of attractive bosons on a Bose-Hubbard ladder with three-body constraint

Quantum phases of attractive bosons on a Bose-Hubbard ladder with three-body constraint

Two peaks in the momentum distribution of bosons in a weakly frustrated two-leg optical ladder

Mott insulator phases of non-locally coupled bosons in bilayer optical superlattices

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