Characterizing the phase diagram of finite-size dipolar Bose-Hubbard systems
| Autor: | Dieter Jaksch, Paolo Rosson, Jordi Mur-Petit, Martin Kiffner |
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| Rok vydání: | 2019 |
| Předmět: |
Physics
Canonical ensemble Condensed Matter::Quantum Gases Optical lattice Quantum Physics Condensed Matter - Mesoscale and Nanoscale Physics Atomic Physics (physics.atom-ph) Density matrix renormalization group Quantum simulator FOS: Physical sciences Bose–Hubbard model 01 natural sciences 010305 fluids & plasmas Physics - Atomic Physics Supersolid Quantum Gases (cond-mat.quant-gas) 0103 physical sciences Mesoscale and Nanoscale Physics (cond-mat.mes-hall) Statistical physics 010306 general physics Structure factor Condensed Matter - Quantum Gases Quantum Physics (quant-ph) Phase diagram |
| DOI: | 10.48550/arxiv.1909.09099 |
| Popis: | We use state-of-the-art density matrix renormalization group calculations in the canonical ensemble to determine the phase diagram of the dipolar Bose-Hubbard model on a finite cylinder. We consider several observables that are accessible in typical optical lattice setups and assess how well these quantities perform as order parameters. We find that, especially for small systems, the occupation imbalance is less susceptible to boundary effects than the structure factor in uncovering the presence of a periodic density modulation. By analysing the non-local correlations, we find that the appearance of supersolid order is very sensitive to boundary effects, which may render it difficult to observe in quantum gas lattice experiments with a few tens of particles. Finally, we show how density measurements readily obtainable on a quantum gas microscope allow distinguishing between superfluid and solid phases using unsupervised machine-learning techniques. Comment: 13 pages, 8 figures. v2: matches published version, which contains enlarged discussion of finite-size effects and more details on the data transformation into suitable feature vectors for the PCA algorithm |
| Databáze: | OpenAIRE |
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