Phases of a Two-Dimensional Bose Gas in an Optical Lattice

Jiménez-García, Karina; Compton, Robert; Lin, Yu-Ju; Phillips, William D.; Porto, J. V.; Spielman, I. B.

doi:10.1103/physrevlett.105.110401

Cited by 54 publications

(71 citation statements)

References 24 publications

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“…It was shown that violation of the local-density approximation is a good indication of the critical behavior, which can be observed from the measurements of in situ density profiles and quasi-momentum distribution [348]. Experiments in two-dimensional lattices confirm this prediction and the critical values of J/U extracted from the measurements of the fraction of particles with zero momentum are consistent with QMC calculations for trapped systems [23].…”

Section: Criticality In Confined Systemssupporting

confidence: 61%

“…For n = 1, the transition is always second order. First-order transition is possible for n ≥ 2 and U a /U s smaller than some critical value, which is about 0.188 for even n and grows from 0.012 (n = 3) to 0.015 (n → ∞) for odd n. In the case of 23 Na shown in Fig. 65, an interesting regime is achieved, when the QPT for odd n is second order, but for even n it is first order.…”

Section: First-and Second-order Phase Transitionsmentioning

confidence: 98%

“…It was also demonstrated in two dimensional lattices without using tight-binding approximation that the difference between N k=0 0 /N and f c N can be large [175]. In the experiments with ultracold atoms, P (k) is usually measured which gives a direct access to N k=0 0 (see, e.g., [22,23,25,176]). However, due to inhomogeneities caused, for instance, by harmonic confinement, there is no simple relation like (103) …”

Section: Bose-einstein Condensationmentioning

confidence: 99%

See 2 more Smart Citations

Ultracold bosons with short-range interaction in regular optical lattices

2016

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During the last decade, many exciting phenomena have been experimentally observed and theoretically predicted for ultracold atoms in optical lattices. This paper reviews these rapid developments concentrating mainly on the theory. Different types of the bosonic systems in homogeneous lattices of different dimensions as well as in the presence of harmonic traps are considered. An overview of the theoretical methods used for these investigations as well as of the obtained results is given. Available experimental techniques are presented and discussed in connection with theoretical considerations. Eigenstates of the interacting bosons in homogeneous lattices and in the presence of harmonic confinement are analyzed. Their knowledge is essential for understanding of quantum phase transitions at zero and finite temperature.

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Section: Criticality In Confined Systemssupporting

confidence: 61%

Section: First-and Second-order Phase Transitionsmentioning

confidence: 98%

Section: Bose-einstein Condensationmentioning

confidence: 99%

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Ultracold bosons with short-range interaction in regular optical lattices

2016

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“…Considering more realistic cases, like the systems of 133 Cs or 87 Rb in an optical lattice [27,29], one can fix the tunnelling rate, J, and expect to see different regime in space by using local density approximation, i.e. the local chemical potential changes due to the inhomogeneous harmonic trap [34].…”

Section: Figmentioning

confidence: 99%

“…Taking interacting Bose gases as examples, thermal fluctuations in low dimensional system may lead to interesting topological excitations and the BerezinskiiKosterlitz-Thouless transition in two-dimensional systems [8,[20][21][22][23][24], which has been realized in current experiments [25][26][27]. When loading into an optical lattice, interacting bosons may undergo a superfluid (SF) to Mott insulator (MI) transitions [28,29] as predicted from a single band Bose-Hubbard model [30].…”

Section: Introductionmentioning

confidence: 99%

Quantitative studies of the critical regime near the superfluid-to-Mott-insulator transition

2017

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We investigate the critical behaviors of correlation length and critical exponents for strongly interacting bosons in a two-dimensional optical lattice via quantum Monte Carlo simulations. By comparing the full numerical results to those given by the effective theory, we quantitatively determine the critical regime where the universal scaling behaviors applies at a finite temperature, for both classical Berezinskii-Kosterlitz-Thouless transition and quantum phase transition from superfluid to Mott insulator. Our results represent the critical regime that should be observed in present experimental conditions.

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Nonlocal Correlation and Entanglement of Ultracold Bosons in the 2D Bose–Hubbard Lattice at Finite Temperature

2022

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The temperature‐dependent behavior emerging in the vicinity of the superfluid (SF) to Mott‐insulator (MI) transition of interacting bosons in a 2D optical lattice, described by the Bose–Hubbard model is investigated. The equilibrium phase diagram at finite‐temperature is computed using the cluster mean‐field (CMF) theory including a finite‐cluster‐size‐scaling. The SF, MI, and normal fluid (NF) phases are characterized as well as the transition or crossover temperatures between them are estimated by computing physical quantities such as the superfluid fraction, compressibility and sound velocity using the CMF method. It is found that the nonlocal correlations included in a finite cluster, when extrapolated to infinite size, leads to quantitative agreement of the phase boundaries with quantum Monte Carlo (QMC) results as well as with experiments. Moreover, it is shown that the von Neumann entanglement entropy within a cluster corresponds to the system's entropy density and that it is enhanced near the SF–MI quantum critical point (QCP) and at the SF–NF boundary. The behavior of the transition lines near this QCP, at and away from the particle‐hole (p–h) symmetric point located at the Mott‐tip, is also discussed. The results obtained by using the CMF theory can be tested experimentally using the quantum gas microscopy method.

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Phases of a Two-Dimensional Bose Gas in an Optical Lattice

Cited by 54 publications

References 24 publications

Ultracold bosons with short-range interaction in regular optical lattices

Ultracold bosons with short-range interaction in regular optical lattices

Quantitative studies of the critical regime near the superfluid-to-Mott-insulator transition

Nonlocal Correlation and Entanglement of Ultracold Bosons in the 2D Bose–Hubbard Lattice at Finite Temperature

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