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

Singh, Manpreet; Mondal, Suman; Sahoo, B. K.; Mishra, Tapan

doi:10.1103/physreva.96.053604

Cited by 16 publications

(9 citation statements)

References 69 publications

(78 reference statements)

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“…For the models like shown in Eq. 1, the CMFT method works fairly well with less computational complexities and may approach the Quantum Monte Carlo results in the thermodynamic limit for some specific situations [22,61,62].…”

Section: Methodsmentioning

confidence: 99%

“…Interestingly, these non-local interactions have shown to couple systems which are spatially separated from each other such as the bilayer systems and two leg ladders. In such a scenario one can drive the two decoupled systems together with the help of the long-range dipole-dipole interaction [19][20][21][22]. Moreover, the bilayer systems with inter-layer interactions resemble systems of two component atomic mixtures in optical lattices.…”

Section: Introductionmentioning

confidence: 99%

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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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Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

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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“…To understand the effects of the strong correlations we analyze the ground state properties of the model given in Eq. 1 for one and two dimensional arrays of SQCs using the density matrix renormalization group(DMRG) [29][30][31] method and the self-consistent cluster mean-field theory(CMFT) approach [32,33] respectively.…”

Section: The Realization Of Strong Interaction Between Photonsmentioning

confidence: 99%

Emergent photon pair propagation in circuit QED with superconducting processors

Lahiri,

Mondal,

Pandey

et al. 2020

Preprint

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We propose a method to achieve photon pair propagation in an array of three-level superconducting circuits. Assuming experimentally accessible three-level artificial atoms with strong anharmonicity coupled via microwave transmission lines in both one and two dimensions we analyze the circuit Quantum Electrodynamics(QED) of the system. We explicitly show that for a suitable choice of the coupling ratio between different levels, the single photon propagation is suppressed and the propagation of photon pairs emerges. This propagation of photon pairs leads to the pair superfluid of polaritons associated to the system. We compute the complete phase diagram of the polariton quantum matter revealing the pair superfluid phase which is sandwiched between the vacuum and the Mott insulator state corresponding to the polariton density equal to two in the strong coupling regime.

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“…This nilpotency condition signifies that one can put up two b particles on each lattice site. Recent studies on the coupled 1D optical lattices containing two kinds of boson, a hard-core and a semi-hard-core boson, show that the system displays different MIs and SF orders 77 , in the presence of intra-chains hoppings and inter-chains interactions, but still solid and supersolid phases are absent in the ground state phase diagram. Indeed in the absence of intra-chains repulsive interactions the translational symmetry of the system preserves and consequently no solidity occurs in the system.…”

Section: Our Modelmentioning

confidence: 99%

Spin supersolid phase in coupled alternating spin chains

Heydarinasab¹,

Abouie²

2018

Sci Rep

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We study the ground state phase diagram of a two dimensional mixed-spin system of coupled alternating spin-1 and 1/2 chains with a stripe supersolid phase. Utilizing different analytical and numerical approaches such as mean field approximation, cluster mean field theory and linear spin wave theory, we demonstrate that our system displays a rich ground state phase diagram including novel stripe supersolid, solids with different fillings and super-counterfluid phases, in addition to a stripe solid with half filling, superfluid and Mott insulating phases. In order to find a minimal mixed-spin model for stripe supersolidity, in the second part of the paper we consider two kinds of mixed-spin system of coupled alternating spin-1 and 1/2 chains with (i) anisotropic nearest neighbor interactions, (ii) anisotropic hoppings and study their ground state phase diagrams. We demonstrate that, for the systems with uniform hoppings, the repulsive intra-chains interactions are necessary for stripe supersolidity. In this case the minimal two dimensional mixed-spin model is a system of spin-1 and spin-1/2 XXZ chains, interacting via Ising Hamiltonian. In the case of anisotropic hoppings, a system of coupled Ising chains is the minimal model.

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

Cited by 16 publications

References 69 publications

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

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

Emergent photon pair propagation in circuit QED with superconducting processors

Spin supersolid phase in coupled alternating spin chains

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