Evidence from on-site atom number fluctuations for a quantum Berezinskii-Kosterlitz-Thouless transition in the one-dimensional Bose-Hubbard model

@article{cki2021EvidenceFO,
  title={Evidence from on-site atom number fluctuations for a quantum Berezinskii-Kosterlitz-Thouless transition in the one-dimensional Bose-Hubbard model},
  author={Mateusz K Łącki and Bogdan Damski},
  journal={Physical Review B},
  year={2021}
}
We study the one-dimensional Bose-Hubbard model describing the superfluid-Mott insulator quantum phase transition of cold atoms in optical lattices. We show that derivatives of the variance of the on-site atom number occupation, computed with respect to the parameter driving the transition, have extrema that are located off the critical point even in the thermodynamic limit. We discuss whether such extrema provide solid evidence of the quantum Berezinskii-Kosterlitz-Thouless transition taking… Expand

Figures from this paper

References

SHOWING 1-10 OF 29 REFERENCES
Critical points of the three-dimensional Bose-Hubbard model from on-site atom number fluctuations
TLDR
It is shown that Quantum Monte Carlo studies of this maximum lead to precise determination of critical points for the superfluid-Mott insulator transition in systems with mean number of atoms per lattice site equal to one, two, and three. Expand
Locating the quantum critical point of the Bose-Hubbard model through singularities of simple observables
We show that the critical point of the two-dimensional Bose-Hubbard model can be easily found through studies of either on-site atom number fluctuations or the nearest-neighbor two-point correlationExpand
Properties of the one-dimensional Bose–Hubbard model from a high-order perturbative expansion
We employ a high-order perturbative expansion to characterize the ground state of the Mott phase of the one-dimensional Bose–Hubbard model. We compute for different integer filling factors the energyExpand
Non-standard Hubbard models in optical lattices: a review.
TLDR
The main part of the review discusses the importance of additional terms appearing when refining the tight-binding approximation for the original physical Hamiltonian, and the effects related to higher Bloch bands also become important even for deep optical lattices. Expand
Observation of scale invariance and universality in two-dimensional Bose gases
TLDR
In situ density and density-fluctuation measurements of two-dimensional Bose gases of caesium at different temperatures and interaction strengths are reported, observing scale-invariant, universal behaviours, and provide evidence for growing density–density correlations in the fluctuation region. Expand
Berezinskii–Kosterlitz–Thouless crossover in a trapped atomic gas
TLDR
The observation of a BKT-type crossover in a trapped quantum degenerate gas of rubidium atoms is reported, providing direct experimental evidence for the microscopic mechanism underlying the BKT theory, and raising new questions regarding coherence and superfluidity in mesoscopic systems. Expand
Emergence of coherence via transverse condensation in a uniform quasi-two-dimensional Bose gas.
TLDR
This work explores transverse condensation for an atomic gas confined in a novel trapping geometry, with a flat in-plane bottom, and relates it to the onset of an extended (yet of finite-range) in- plane coherence, and observes topological defects with a mean number satisfying the universal scaling law predicted by Kibble-Zurek mechanism. Expand
Accurate determination of the superfluid‐insulator transition in the one‐dimensional Bose‐Hubbard model
The quantum phase transition point between the insulator and the superfluid phase at unit filling factor of the infinite one‐dimensional Bose‐Hubbard model is numerically computed with a highExpand
Quantum Scaling in Many-Body Systems: An Approach to Quantum Phase Transitions
Quantum phase transitions are strongly relevant in a number of fields, ranging from condensed matter to cold atom physics and quantum field theory. This book, now in its second edition, approachesExpand
Kosterlitz-Thouless physics: a review of key issues.
  • J. Kosterlitz
  • Physics, Medicine
  • Reports on progress in physics. Physical Society
  • 2016
TLDR
The origins and the early work on transitions driven by topological defects such as vortices in the two dimensional planar rotor model and in (4)Helium films and dislocations and disclinations in 2D crystals are reviewed. Expand
...
1
2
3
...