Order parameter and detection for a finite ensemble of crystallized one-dimensional dipolar bosons in optical lattices

Budhaditya Chatterjee (1) , Axel Lode (2)

1 ZOQ - Zentrum für Optische Quantentechnologien | Center for Optical Quantum Technologies [Hamburg]
2 Unibas - Université de Bâle = University of Basel = Basel Universität

We explore the ground-state properties of a few bosons with dipole-dipole interactions in a one-dimensional optical lattice. For comparatively strong interactions, a transition from a Mott-insulator state to a crystal state occurs. Herein, we provide a detailed characterization and a detection protocol for the resulting crystal state. Using the eigenvalues of the reduced one-body density matrix, we define an order parameter that characterizes all the emergent states occurring in the finite-sized ensemble and agrees with the signatures obtained from the analysis of the one-and two-body densities. We further demonstrate that these few-body emergent states can be detected experimentally using the variance of single-shot measurements.

Mots clés: MCTDH-X; MCTDHB; MCTDH; http://ultracold.org; Crystallization; Dipolar Bose-Einstein condensates

Domaines: Physique Quantique [quant-ph]; Physique Numérique [physics.comp-ph]; Agrégats Moléculaires et Atomiques [physics.atm-clus]; Gaz Quantiques [cond-mat.quant-gas]

Budhaditya Chatterjee, Axel Lode. Order parameter and detection for a finite ensemble of crystallized one-dimensional dipolar bosons in optical lattices. Physical Review A, 2018, 98, pp.053624. ⟨10.1103/PhysRevA.98.053624⟩. ⟨hal-02370257⟩