Frustrated Quantum Magnetism with Bose Gases in Triangular Optical Lattices at Negative Absolute Temperatures

Abstract

Quantum antiferromagnets with geometrical frustration exhibit rich many-body physics but are hard to simulate by means of classical computers. Although quantum-simulation studies for analyzing such systems are thus desirable, they are still limited to high temperature regions, where interesting quantum effects are smeared out. Here, we propose a feasible protocol to perform analog quantum simulation of frustrated antiferromagnetism with strong quantum fluctuations by using ultracold Bose gases in optical lattices at negative absolute temperatures. Specifically, we show from numerical simulations that the time evolution of a negative-temperature state subjected to a slow sweep of the hopping energy simulates quantum phase transitions of a frustrated Bose-Hubbard model with sign-inverted hoppings. Moreover, we quantitatively predict the phase boundary between the frustrated superfluid and Mott-insulator phases for triangular lattices with hopping anisotropy, which serves as a benchmark for quantum simulation.

12 pages, 9 figures

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Cited by in corpus (9)

• Dynamical sign reversal of magnetic correlations in dissipative Hubbard models
• Spectral function of the $J_1-J_2$ Heisenberg model on the triangular lattice
• Single-site-resolved imaging of ultracold atoms in a triangular optical lattice
• Frustrated extended Bose-Hubbard model and deconfined quantum critical points with optical lattices at the anti-magic wavelength
• Observation of Chiral-Mode Domains in a Frustrated XY Model on Optical Triangular Lattices
• Cluster Mean Field plus Density Matrix Renormalization theory for the Bose Hubbard Model
• Particle-Hole Asymmetry and Pinball Liquid in a Triangular-Lattice Extended Hubbard Model within Mean-Field Approximation
• Many-body phases from effective geometrical frustration and long-range interactions in a subwavelength lattice
• Dynamics of Interacting Bosons on the Sawtooth Lattice with a Flat Band