Coherence of interacting bosons in optical lattices in synthetic magnetic fields with a large number of subbands

Grygiel, B.; Patucha, K.; Zaleski, T. A.

doi:10.1103/physreva.93.053607

Cited by 6 publications

(2 citation statements)

References 35 publications

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“…Next, the unimodular fields ζ i (τ ) = e i φi(τ ) can be introduced. Then, by relaxing the constraint of the unitary modulus [17,18], which introduces a Lagrange multiplier λ, the equation of state [12,19] and also the current-current correlation functions [13,[20][21][22][23] can be calculated.…”

Section: Model and Methodsmentioning

confidence: 99%

Real and Imaginary Part of Conductivity of Strongly Interacting Bosons in Optical Lattices

2019

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We calculate the conductivity of strongly interacting bosons described by the Bose-Hubbard model in a twodimensional lattice in controlled gauge potential acting as a uniform external magnetic field. In such scenario, two types of conductivity can be distinguished: intra-and inter-band. The interband contribution, usually omitted in analysis of multiband systems, appears to have a crucial role in the transport properties as its values are a few orders of magnitude greater than the intraband one.

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Section: Model and Methodsmentioning

confidence: 99%

Real and Imaginary Part of Conductivity of Strongly Interacting Bosons in Optical Lattices

2019

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“…2. This effect, as well as non-monotonic dependence of critical hopping [21], are direct consequence of the inner energy structure of the Hofstadter butterfly.…”

Section: Harper-bose-hubbard Modelmentioning

confidence: 99%

Hall Conductivity of Strongly Interacting Bosons in Optical Lattice

2019

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We study the Hall conductivity of ultra-cold bosonic atoms in optical lattice described by the Bose-Hubbard model. We use the quantum rotor approximation, which allows to describe lattices with non-zero Chern numbers. As examples of such systems we consider square lattice in a synthetic magnetic field as well as the Haldane model. We derive formula for the Hall conductivity, which strongly resembles the famous TKNN formula. We investigate the behavior of conductivity depending on temperature and model parameters. It appears that bosonic systems substantially differ from the fermionic ones, e.g. the presence of non-zero Hall conductivity is not directly related to non-zero value of the Chern number.

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In silico explanation for the causalities of deleterious RNF213 SNPs in Moyamoya disease and insulin resistance

Sarkar

Thirumurugan

2021

Computational Biology and Chemistry

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Coherence of interacting bosons in optical lattices in synthetic magnetic fields with a large number of subbands

Cited by 6 publications

References 35 publications

Real and Imaginary Part of Conductivity of Strongly Interacting Bosons in Optical Lattices

Real and Imaginary Part of Conductivity of Strongly Interacting Bosons in Optical Lattices

Hall Conductivity of Strongly Interacting Bosons in Optical Lattice

In silico explanation for the causalities of deleterious RNF213 SNPs in Moyamoya disease and insulin resistance

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