Mesoscopic Bose-Einstein condensates as quantum simulators

Abstract

Mesoscopic interacting Bose-Einstein condensates confined in a few traps display phase transitions that cannot be explained with a mean field theory. By describing each trap as an effective site of a Bose-Hubbard model and using the Schwinger representation of spin operators, these systems can be mapped to spin models. We show that it is possible to define correlations between bosons in such a way that critical behavior is associated to the divergence of a correlation length accompanied by a gapless spectrum in the thermodynamic limit. The latter is now defined as the limit in which the mean field analysis becomes valid. Such description provides critical exponents to the associated phase transitions and encompasses the notion of universality demonstrating thus the potential use of mesoscopic Bose-Einstein condensates as quantum simulators of condensed matter systems.

6 pages, 6 figures

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Cited by in corpus (11)

• Order parameter and detection for crystallized dipolar bosons in lattices
• Correlations of strongly interacting ultracold dipolar bosons in optical lattices
• Extended Bose-Hubbard Model with dipolar and contact interactions
• Detecting One-Dimensional Dipolar Bosonic Crystal Orders via Full Distribution Functions
• Euler top with a rotor: classical analogies of spin squeezing and quantum phase transitions in a generalized Lipkin-Meshkov-Glick model
• Ensemble inequivalence in long-range quantum systems
• Symmetries and boundary conditions with a twist
• Schmidt gap in random spin chains
• Correlation dynamics of dipolar bosons in 1D triple well optical lattice
• Ensemble Inequivalence in Long-Range Quantum Spin Systems
• Certification of spin-based quantum simulators