Phase transitions in a Bose-Hubbard model with cavity-mediated global-range interactions

Dogra, Nishant; Brennecke, Ferdinand; Huber, Sebastian; Donner, Tobias

doi:10.1103/physreva.94.023632

Cited by 78 publications

(125 citation statements)

References 26 publications

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“…We predict that a reanalysis of existing experimental data will reveal previously undetected phase transitions. Some of our results for homogeneous systems have been seen in other theoretical studies [3][4][5][6].…”

Section: Introductionsupporting

confidence: 80%

Lattice bosons with infinite-range checkerboard interactions

Sundar

Mueller

2016

Phys. Rev. A

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Motivated by experiments performed by Landig et al. [Nature (London) 532, 476 (2016)], we consider a two-dimensional Bose gas in an optical lattice, trapped inside a single mode superradiant Fabry-Perot cavity. The cavity mediates infinite-range checkerboard interactions between the atoms, which produces competition between Mott insulator, charge-density wave, superfluid, and supersolid phases. We calculate the phase diagram of this Bose gas in a homogeneous system and in the presence of a harmonic trap.

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Section: Introductionsupporting

confidence: 80%

Lattice bosons with infinite-range checkerboard interactions

Sundar

Mueller

2016

Phys. Rev. A

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“…To gain better control over the longrange terms in an experimental scenario, a suitable combination of interaction processes would be required, i.e multiple attractive and repulsive long-range interactions or a large enough g such that offsite contact terms are possible [8,39]. Alternatively a setup exploiting lightmatter processes to induce synthetic interactions [40][41][42][43][44][45] could potentially be more efficient. However, in order to understand the effects of each process individually in this work, we will consider the parameters of Hamiltonian (8) to be independent variables.…”

Section: Bose-hubbard Modelmentioning

confidence: 99%

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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“…In the absence of disorder, with longrange interactions, the BHM exhibits a richer phase di-agram with additional density wave (DW) and supersolid (SS) phases [35][36][37][38]. The ground state phase diagram of the extended BHM with cavity-mediated longrange interactions has been investigated extensively with the help of mean-field theory [37,[39][40][41][42], Gutzwiller ansatz [38,43], quantum Monte Carlo [36,38,41], and Variational Monte-Carlo [44] methods in 1D, 2D, and 3D. The addition of disorder to the BHM with long-range interactions leads to additional phases.…”

Section: Introductionmentioning

confidence: 99%

The Effect of Disorder on the Phase Diagrams of Hard-Core Lattice Bosons With Cavity-Mediated Long-Range and Nearest-Neighbor Interactions

Zhang

Rieger

2020

Front. Phys.

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We use quantum Monte Carlo simulations with the worm algorithm to study the phase diagram of a two-dimensional Bose-Hubbard model with cavity-mediated long-range interactions and uncorrelated disorder in the hard-core limit. Our study shows the system is in a supersolid phase at weak disorder and a disordered solid phase at stronger disorder. Due to long-range interactions, a large region of metastable states exists in both clean and disordered systems. By comparing the phase diagrams for both clean and disordered systems, we find that disorder suppresses metastable states and superfluidity. We compare these results with the phase diagram of the extended Bose-Hubbard model with nearest-neighbor interactions. Here, the supersolid phase does not exist even at weak disorder. We identify two kinds of glassy phases: a Bose glass phase and a disordered solid phase. The glassy phases intervene between the density-wave and superfluid phases as the Griffiths phase of the Bose-Hubbard model. The disordered solid phase intervenes between the density-wave and Bose glass phases since both have a finite structure factor.

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Phase transitions in a Bose-Hubbard model with cavity-mediated global-range interactions

Cited by 78 publications

References 26 publications

Lattice bosons with infinite-range checkerboard interactions

Lattice bosons with infinite-range checkerboard interactions

Staggered ground states in an optical lattice

The Effect of Disorder on the Phase Diagrams of Hard-Core Lattice Bosons With Cavity-Mediated Long-Range and Nearest-Neighbor Interactions

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