Phases, many-body entropy measures and coherence of interacting bosons in optical lattices
| Autor: | Roy, R., Gammal, A., Tsatsos, M. C., Chatterjee, B., Chakrabarti, B., Lode, A. U. J. |
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| Rok vydání: | 2017 |
| Předmět: | |
| Zdroj: | Phys. Rev. A 97, 043625 (2018) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevA.97.043625 |
| Popis: | Already a few bosons with contact interparticle interactions in small optical lattices feature a variety of quantum phases: superfluid, Mott-insulator and fermionized Tonks gases can be probed in such systems. To detect these phases -- pivotal for both experiment and theory -- as well as their many-body properties we analyze several distinct measures for the one-body and many-body Shannon information entropies. We exemplify the connection of these entropies with spatial correlations in the many-body state by contrasting them to the Glauber normalized correlation functions. To obtain the ground-state for lattices with commensurate filling (i.e. an integer number of particles per site) for the full range of repulsive interparticle interactions we utilize the multiconfigurational time-dependent Hartree method for bosons (MCTDHB) in order to solve the many-boson Schr\"odinger equation. We demonstrate that all emergent phases -- the superfluid, the Mott insulator, and the fermionized gas can be characterized equivalently by our many-body entropy measures and by Glauber's normalized correlation functions. In contrast to our many-body entropy measures, single-particle entropy cannot capture these transitions. Comment: 11 pages, 7 figures, software available at http://ultracold.org |
| Databáze: | arXiv |
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